Analysis and Synthesis of Positive Systems Under l1 and L1 Performance

Analysis and Synthesis of Positive Systems Under l1 and L1 Performance

Author: Xiaoming Chen

Publisher: Springer

Published: 2016-07-27

Total Pages: 116

ISBN-13: 9811022275

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This thesis introduces novel and significant results regarding the analysis and synthesis of positive systems, especially under l1 and L1 performance. It describes stability analysis, controller synthesis, and bounding positivity-preserving observer and filtering design for a variety of both discrete and continuous positive systems. It subsequently derives computationally efficient solutions based on linear programming in terms of matrix inequalities, as well as a number of analytical solutions obtained for special cases. The thesis applies a range of novel approaches and fundamental techniques to the further study of positive systems, thus contributing significantly to the theory of positive systems, a “hot topic” in the field of control.


Book Synopsis Analysis and Synthesis of Positive Systems Under l1 and L1 Performance by : Xiaoming Chen

Download or read book Analysis and Synthesis of Positive Systems Under l1 and L1 Performance written by Xiaoming Chen and published by Springer. This book was released on 2016-07-27 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis introduces novel and significant results regarding the analysis and synthesis of positive systems, especially under l1 and L1 performance. It describes stability analysis, controller synthesis, and bounding positivity-preserving observer and filtering design for a variety of both discrete and continuous positive systems. It subsequently derives computationally efficient solutions based on linear programming in terms of matrix inequalities, as well as a number of analytical solutions obtained for special cases. The thesis applies a range of novel approaches and fundamental techniques to the further study of positive systems, thus contributing significantly to the theory of positive systems, a “hot topic” in the field of control.


Analysis and Synthesis of Positive Systems Under L₁ And L₁ Performance

Analysis and Synthesis of Positive Systems Under L₁ And L₁ Performance

Author: Xiaoming Chen

Publisher: Open Dissertation Press

Published: 2017-01-27

Total Pages:

ISBN-13: 9781361347232

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This dissertation, "Analysis and Synthesis of Positive Systems Under L₁ and L₁ Performance" by Xiaoming, Chen, 陈晓明, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: This thesis is concerned with the analysis and synthesis of positive systems under ℓ1 and L1 performance. Two classes of systems are considered: positive linear systems and positive Takagi-Sugeno (T-S) fuzzy systems. For positive linear systems, the controller, state-bounding observer and filter design problems are considered. Due to the special structures and unique features of positive systems, some previous approach used for general systems, such as similarity transformation, are no longer applicable to positive systems. First, the stabilization problem for positive linear systems is studied. In detail, analytical formulae to compute the exact values of ℓ1-induced and L1-induced norms are presented. Moreover, it is shown how the necessary and sufficient conditions can be constructed such that the closed-loop system is stable and satisfies a prescribed L1-induced performance. For single-input multiple-output (SIMO) positive systems, analytical solutions are established to show how the optimal ℓ1-induced and L1-induced controllers are designed. In addition, the L1-induced sparse state-feedback controller is investigated for continuous-time interval positive systems. Then, to estimate the state of positive systems at all times, the problem of positive state-bounding observers for interval positive systems is studied under the L1-induced performance. Necessary and sufficient conditions are presented to design a pair of state-bounding positive observers. Finally, the positive filtering problem is addressed for positive systems under the L1-induced performance. A pair of positive filters with error-bounding feature is designed to estimate the output of positive systems and the obtained results are expressed in terms of linear programming problems. For positive T-S fuzzy systems, the controller and filter design problems are investigated under the ℓ1-induced performance. First, novel performance characterization of positive fuzzy systems is established. Sufficient conditions are further established for the existence of state-feedback controller. An iterative convex optimization algorithm is developed to solve the design conditions. Furthermore, a pair of error-bounding positive filters are constructed to estimate the output of positive T-S fuzzy systems. A new performance characterization is first established to guarantee the asymptotic stability of the filtering error system with the ℓ1-induced performance. Then, sufficient conditions expressed by linear programming problems are derived to design the required filters. DOI: 10.5353/th_b5312339 Subjects: Positive systems


Book Synopsis Analysis and Synthesis of Positive Systems Under L₁ And L₁ Performance by : Xiaoming Chen

Download or read book Analysis and Synthesis of Positive Systems Under L₁ And L₁ Performance written by Xiaoming Chen and published by Open Dissertation Press. This book was released on 2017-01-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Analysis and Synthesis of Positive Systems Under L₁ and L₁ Performance" by Xiaoming, Chen, 陈晓明, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: This thesis is concerned with the analysis and synthesis of positive systems under ℓ1 and L1 performance. Two classes of systems are considered: positive linear systems and positive Takagi-Sugeno (T-S) fuzzy systems. For positive linear systems, the controller, state-bounding observer and filter design problems are considered. Due to the special structures and unique features of positive systems, some previous approach used for general systems, such as similarity transformation, are no longer applicable to positive systems. First, the stabilization problem for positive linear systems is studied. In detail, analytical formulae to compute the exact values of ℓ1-induced and L1-induced norms are presented. Moreover, it is shown how the necessary and sufficient conditions can be constructed such that the closed-loop system is stable and satisfies a prescribed L1-induced performance. For single-input multiple-output (SIMO) positive systems, analytical solutions are established to show how the optimal ℓ1-induced and L1-induced controllers are designed. In addition, the L1-induced sparse state-feedback controller is investigated for continuous-time interval positive systems. Then, to estimate the state of positive systems at all times, the problem of positive state-bounding observers for interval positive systems is studied under the L1-induced performance. Necessary and sufficient conditions are presented to design a pair of state-bounding positive observers. Finally, the positive filtering problem is addressed for positive systems under the L1-induced performance. A pair of positive filters with error-bounding feature is designed to estimate the output of positive systems and the obtained results are expressed in terms of linear programming problems. For positive T-S fuzzy systems, the controller and filter design problems are investigated under the ℓ1-induced performance. First, novel performance characterization of positive fuzzy systems is established. Sufficient conditions are further established for the existence of state-feedback controller. An iterative convex optimization algorithm is developed to solve the design conditions. Furthermore, a pair of error-bounding positive filters are constructed to estimate the output of positive T-S fuzzy systems. A new performance characterization is first established to guarantee the asymptotic stability of the filtering error system with the ℓ1-induced performance. Then, sufficient conditions expressed by linear programming problems are derived to design the required filters. DOI: 10.5353/th_b5312339 Subjects: Positive systems


Analysis and Synthesis of Dynamic Systems with Positive Characteristics

Analysis and Synthesis of Dynamic Systems with Positive Characteristics

Author: Jun Shen

Publisher: Springer

Published: 2017-03-27

Total Pages: 123

ISBN-13: 9811038805

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This thesis develops several systematic and unified approaches for analyzing dynamic systems with positive characteristics or a more general cone invariance property. Based on these analysis results, it uses linear programming tools to address static output feedback synthesis problems with a focus on optimal gain performances. Owing to their low computational complexity, the established controller design algorithms are applicable for large-scale systems. The theory and control strategies developed will not only be useful in handling large-scale positive delay systems with improved solvability and at lower cost, but also further our understanding of the system characteristics in other related areas, such as distributed coordination of networked multi-agent systems, formation control of multiple robots.


Book Synopsis Analysis and Synthesis of Dynamic Systems with Positive Characteristics by : Jun Shen

Download or read book Analysis and Synthesis of Dynamic Systems with Positive Characteristics written by Jun Shen and published by Springer. This book was released on 2017-03-27 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis develops several systematic and unified approaches for analyzing dynamic systems with positive characteristics or a more general cone invariance property. Based on these analysis results, it uses linear programming tools to address static output feedback synthesis problems with a focus on optimal gain performances. Owing to their low computational complexity, the established controller design algorithms are applicable for large-scale systems. The theory and control strategies developed will not only be useful in handling large-scale positive delay systems with improved solvability and at lower cost, but also further our understanding of the system characteristics in other related areas, such as distributed coordination of networked multi-agent systems, formation control of multiple robots.


Robust Adaptive Control for Fractional-Order Systems with Disturbance and Saturation

Robust Adaptive Control for Fractional-Order Systems with Disturbance and Saturation

Author: Mou Chen

Publisher: John Wiley & Sons

Published: 2017-12-26

Total Pages: 252

ISBN-13: 1119393272

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A treatise on investigating tracking control and synchronization control of fractional-order nonlinear systems with system uncertainties, external disturbance, and input saturation Robust Adaptive Control for Fractional-Order Systems, with Disturbance and Saturation provides the reader with a good understanding on how to achieve tracking control and synchronization control of fractional-order nonlinear systems with system uncertainties, external disturbance, and input saturation. Although some texts have touched upon control of fractional-order systems, the issues of input saturation and disturbances have rarely been considered together. This book offers chapter coverage of fractional calculus and fractional-order systems; fractional-order PID controller and fractional-order disturbance observer; design of fractional-order controllers for nonlinear chaotic systems and some applications; sliding mode control for fractional-order nonlinear systems based on disturbance observer; disturbance observer based neural control for an uncertain fractional-order rotational mechanical system; adaptive neural tracking control for uncertain fractional-order chaotic systems subject to input saturation and disturbance; stabilization control of continuous-time fractional positive systems based on disturbance observer; sliding mode synchronization control for fractional-order chaotic systems with disturbance; and more. Based on the approximation ability of the neural network (NN), the adaptive neural control schemes are reported for uncertain fractional-order nonlinear systems Covers the disturbance estimation techniques that have been developed to alleviate the restriction faced by traditional feedforward control and reject the effect of external disturbances for uncertain fractional-order nonlinear systems By combining the NN with the disturbance observer, the disturbance observer based adaptive neural control schemes have been studied for uncertain fractional-order nonlinear systems with unknown disturbances Considers, together, the issue of input saturation and the disturbance for the control of fractional-order nonlinear systems in the present of system uncertainty, external disturbance, and input saturation Robust Adaptive Control for Fractional-Order Systems, with Disturbance and Saturation can be used as a reference for the academic research on fractional-order nonlinear systems or used in Ph.D. study of control theory and engineering.


Book Synopsis Robust Adaptive Control for Fractional-Order Systems with Disturbance and Saturation by : Mou Chen

Download or read book Robust Adaptive Control for Fractional-Order Systems with Disturbance and Saturation written by Mou Chen and published by John Wiley & Sons. This book was released on 2017-12-26 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: A treatise on investigating tracking control and synchronization control of fractional-order nonlinear systems with system uncertainties, external disturbance, and input saturation Robust Adaptive Control for Fractional-Order Systems, with Disturbance and Saturation provides the reader with a good understanding on how to achieve tracking control and synchronization control of fractional-order nonlinear systems with system uncertainties, external disturbance, and input saturation. Although some texts have touched upon control of fractional-order systems, the issues of input saturation and disturbances have rarely been considered together. This book offers chapter coverage of fractional calculus and fractional-order systems; fractional-order PID controller and fractional-order disturbance observer; design of fractional-order controllers for nonlinear chaotic systems and some applications; sliding mode control for fractional-order nonlinear systems based on disturbance observer; disturbance observer based neural control for an uncertain fractional-order rotational mechanical system; adaptive neural tracking control for uncertain fractional-order chaotic systems subject to input saturation and disturbance; stabilization control of continuous-time fractional positive systems based on disturbance observer; sliding mode synchronization control for fractional-order chaotic systems with disturbance; and more. Based on the approximation ability of the neural network (NN), the adaptive neural control schemes are reported for uncertain fractional-order nonlinear systems Covers the disturbance estimation techniques that have been developed to alleviate the restriction faced by traditional feedforward control and reject the effect of external disturbances for uncertain fractional-order nonlinear systems By combining the NN with the disturbance observer, the disturbance observer based adaptive neural control schemes have been studied for uncertain fractional-order nonlinear systems with unknown disturbances Considers, together, the issue of input saturation and the disturbance for the control of fractional-order nonlinear systems in the present of system uncertainty, external disturbance, and input saturation Robust Adaptive Control for Fractional-Order Systems, with Disturbance and Saturation can be used as a reference for the academic research on fractional-order nonlinear systems or used in Ph.D. study of control theory and engineering.


Advances in Computational Intelligence Systems

Advances in Computational Intelligence Systems

Author: Zhaojie Ju

Publisher: Springer Nature

Published: 2019-08-29

Total Pages: 556

ISBN-13: 3030299333

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This book highlights the latest research in computational intelligence and its applications. It covers both conventional and trending approaches in individual chapters on Fuzzy Systems, Intelligence in Robotics, Deep Learning Approaches, Optimization and Classification, Detection, Inference and Prediction, Hybrid Methods, Emerging Intelligence, Intelligent Health Care, and Engineering Data- and Model-Driven Applications. All chapters are based on peer-reviewed contributions presented at the 19th Annual UK Workshop on Computational Intelligence, held in Portsmouth, UK, on 4–6 September 2019. The book offers a valuable reference guide for readers with expertise in computational intelligence or who are seeking a comprehensive and timely review of the latest trends in computational intelligence. Special emphasis is placed on novel methods and their use in a wide range of application areas, updating both academics and professionals on the state of the art.


Book Synopsis Advances in Computational Intelligence Systems by : Zhaojie Ju

Download or read book Advances in Computational Intelligence Systems written by Zhaojie Ju and published by Springer Nature. This book was released on 2019-08-29 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the latest research in computational intelligence and its applications. It covers both conventional and trending approaches in individual chapters on Fuzzy Systems, Intelligence in Robotics, Deep Learning Approaches, Optimization and Classification, Detection, Inference and Prediction, Hybrid Methods, Emerging Intelligence, Intelligent Health Care, and Engineering Data- and Model-Driven Applications. All chapters are based on peer-reviewed contributions presented at the 19th Annual UK Workshop on Computational Intelligence, held in Portsmouth, UK, on 4–6 September 2019. The book offers a valuable reference guide for readers with expertise in computational intelligence or who are seeking a comprehensive and timely review of the latest trends in computational intelligence. Special emphasis is placed on novel methods and their use in a wide range of application areas, updating both academics and professionals on the state of the art.


Analysis and Design for Positive Stochastic Jump Systems

Analysis and Design for Positive Stochastic Jump Systems

Author: Wenhai Qi

Publisher: Springer Nature

Published: 2022-09-19

Total Pages: 219

ISBN-13: 9811954909

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The book focuses on analysis and design for positive stochastic jump systems. By using multiple linear co-positive Lyapunov function method and linear programming technique, a basic theoretical framework is formed toward the issues of analysis and design for positive stochastic jump systems. This is achieved by providing an in-depth study on several major topics such as stability, time delay, finite-time control, observer design, filter design, and fault detection for positive stochastic jump systems. The comprehensive and systematic treatment of positive systems is one of the major features of the book, which is particularly suited for readers who are interested to learn non-negative theory. By reading this book, the reader can obtain the most advanced analysis and design techniques for positive stochastic jump systems.


Book Synopsis Analysis and Design for Positive Stochastic Jump Systems by : Wenhai Qi

Download or read book Analysis and Design for Positive Stochastic Jump Systems written by Wenhai Qi and published by Springer Nature. This book was released on 2022-09-19 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses on analysis and design for positive stochastic jump systems. By using multiple linear co-positive Lyapunov function method and linear programming technique, a basic theoretical framework is formed toward the issues of analysis and design for positive stochastic jump systems. This is achieved by providing an in-depth study on several major topics such as stability, time delay, finite-time control, observer design, filter design, and fault detection for positive stochastic jump systems. The comprehensive and systematic treatment of positive systems is one of the major features of the book, which is particularly suited for readers who are interested to learn non-negative theory. By reading this book, the reader can obtain the most advanced analysis and design techniques for positive stochastic jump systems.


Advances in Computer Science, Intelligent Systems and Environment

Advances in Computer Science, Intelligent Systems and Environment

Author: David Jin

Publisher: Springer Science & Business Media

Published: 2011-09-15

Total Pages: 733

ISBN-13: 3642237770

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CSISE2011 is an integrated conference concentrating its focus upon Computer Science,Intelligent System and Environment. In the proceeding, you can learn much more knowledge about Computer Science, Intelligent System and Environment of researchers all around the world. The international conference will provide a forum for engineers, scientist, teachers and all researchers to discuss their latest research achievements and their future research plan. The main role of the proceeding is to be used as an exchange pillar for researchers who are working in the mentioned field. In order to meet high standard of Springer ́s Advances in Intelligent and Soft Computing ,the organization committee has made their efforts to do the following things. Firstly, poor quality paper has been refused after reviewing course by anonymous referee experts. Secondly, periodically review meetings have been held around the reviewers about five times for exchanging reviewing suggestions. Finally, the conference organization had several preliminary sessions before the conference. Through efforts of different people and departments, the conference will be successful and fruitful. We hope that you can get much more knowledges from our CSISE2011, and we also hope that you can give us good suggestions to improve our work in the future.


Book Synopsis Advances in Computer Science, Intelligent Systems and Environment by : David Jin

Download or read book Advances in Computer Science, Intelligent Systems and Environment written by David Jin and published by Springer Science & Business Media. This book was released on 2011-09-15 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: CSISE2011 is an integrated conference concentrating its focus upon Computer Science,Intelligent System and Environment. In the proceeding, you can learn much more knowledge about Computer Science, Intelligent System and Environment of researchers all around the world. The international conference will provide a forum for engineers, scientist, teachers and all researchers to discuss their latest research achievements and their future research plan. The main role of the proceeding is to be used as an exchange pillar for researchers who are working in the mentioned field. In order to meet high standard of Springer ́s Advances in Intelligent and Soft Computing ,the organization committee has made their efforts to do the following things. Firstly, poor quality paper has been refused after reviewing course by anonymous referee experts. Secondly, periodically review meetings have been held around the reviewers about five times for exchanging reviewing suggestions. Finally, the conference organization had several preliminary sessions before the conference. Through efforts of different people and departments, the conference will be successful and fruitful. We hope that you can get much more knowledges from our CSISE2011, and we also hope that you can give us good suggestions to improve our work in the future.


Positive Systems

Positive Systems

Author: Rafael Bru

Publisher: Springer Science & Business Media

Published: 2009-08-26

Total Pages: 385

ISBN-13: 3642028934

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This volume contains the proceedings of the "Third Multidisciplinary Symposium on Positive Systems: Theory and Applications (POSTA09)" held in Valencia, Spain, September 2–4, 2009. This is the only world congress whose main topic is focused on this field.


Book Synopsis Positive Systems by : Rafael Bru

Download or read book Positive Systems written by Rafael Bru and published by Springer Science & Business Media. This book was released on 2009-08-26 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the "Third Multidisciplinary Symposium on Positive Systems: Theory and Applications (POSTA09)" held in Valencia, Spain, September 2–4, 2009. This is the only world congress whose main topic is focused on this field.


European Control Conference 1995

European Control Conference 1995

Author:

Publisher: European Control Association

Published: 1995-09-05

Total Pages: 882

ISBN-13:

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Proceedings of the European Control Conference 1995, Rome, Italy 5-8 September 1995


Book Synopsis European Control Conference 1995 by :

Download or read book European Control Conference 1995 written by and published by European Control Association. This book was released on 1995-09-05 with total page 882 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the European Control Conference 1995, Rome, Italy 5-8 September 1995


Fuzzy Systems and Data Mining VII

Fuzzy Systems and Data Mining VII

Author: C. Shen

Publisher: IOS Press

Published: 2021-11-04

Total Pages: 494

ISBN-13: 1643682156

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Fuzzy systems and data mining are indispensible aspects of the computer systems and algorithms on which the world has come to depend. This book presents papers from FSDM 2021, the 7th International Conference on Fuzzy Systems and Data Mining. The conference, originally due to take place in Seoul, South Korea, was held online on 26-29 October 2021, due to ongoing restrictions connected with the COVID-19 pandemic. The annual FSDM conference provides a platform for knowledge exchange between international experts, researchers, academics and delegates from industry. This year, the committee received 266 submissions, and this book contains 52 papers, including keynotes and invited presentations, oral and poster contributions. The papers cover four main areas: 1) fuzzy theory, algorithms and systems – including topics like stability; 2) fuzzy applications – which are widely used and cover various types of processing as well as hardware and architecture for big data and time series; 3) the interdisciplinary field of fuzzy logic and data mining; and 4) data mining itself. The topic most frequently addressed this year is fuzzy systems. The book offers an overview of research and developments in fuzzy logic and data mining, and will be of interest to all those working in the field of data science.


Book Synopsis Fuzzy Systems and Data Mining VII by : C. Shen

Download or read book Fuzzy Systems and Data Mining VII written by C. Shen and published by IOS Press. This book was released on 2021-11-04 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy systems and data mining are indispensible aspects of the computer systems and algorithms on which the world has come to depend. This book presents papers from FSDM 2021, the 7th International Conference on Fuzzy Systems and Data Mining. The conference, originally due to take place in Seoul, South Korea, was held online on 26-29 October 2021, due to ongoing restrictions connected with the COVID-19 pandemic. The annual FSDM conference provides a platform for knowledge exchange between international experts, researchers, academics and delegates from industry. This year, the committee received 266 submissions, and this book contains 52 papers, including keynotes and invited presentations, oral and poster contributions. The papers cover four main areas: 1) fuzzy theory, algorithms and systems – including topics like stability; 2) fuzzy applications – which are widely used and cover various types of processing as well as hardware and architecture for big data and time series; 3) the interdisciplinary field of fuzzy logic and data mining; and 4) data mining itself. The topic most frequently addressed this year is fuzzy systems. The book offers an overview of research and developments in fuzzy logic and data mining, and will be of interest to all those working in the field of data science.