Analysis and Design of Markov Jump Systems with Complex Transition Probabilities
Analysis and Design of Markov Jump Systems with Complex Transition Probabilities

Author: Lixian Zhang

Publisher: Springer

Published: 2016-01-19

Total Pages: 268

ISBN-13: 3319288474

DOWNLOAD EBOOK

The book addresses the control issues such as stability analysis, control synthesis and filter design of Markov jump systems with the above three types of TPs, and thus is mainly divided into three parts. Part I studies the Markov jump systems with partially unknown TPs. Different methodologies with different conservatism for the basic stability and stabilization problems are developed and compared. Then the problems of state estimation, the control of systems with time-varying delays, the case involved with both partially unknown TPs and uncertain TPs in a composite way are also tackled. Part II deals with the Markov jump systems with piecewise homogeneous TPs. Methodologies that can effectively handle control problems in the scenario are developed, including the one coping with the asynchronous switching phenomenon between the currently activated system mode and the controller/filter to be designed. Part III focuses on the Markov jump systems with memory TPs. The concept of σ-mean square stability is proposed such that the stability problem can be solved via a finite number of conditions. The systems involved with nonlinear dynamics (described via the Takagi-Sugeno fuzzy model) are also investigated. Numerical and practical examples are given to verify the effectiveness of the obtained theoretical results. Finally, some perspectives and future works are presented to conclude the book.

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

DOWNLOAD EBOOK

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.

Non-monotonic Approach to Robust H∞ Control of Multi-model Systems
Non-monotonic Approach to Robust H∞ Control of Multi-model Systems

Author: Jiwei Wen

Publisher: Academic Press

Published: 2019-06-06

Total Pages: 224

ISBN-13: 0128148691

DOWNLOAD EBOOK

Non-monotonic Approach to Robust H8 Control of Multi-model Systems focuses on robust analysis and synthesis problems for multi-model systems based on the non-monotonic Lyapunov Functionals (LFs) approach that enlarges the stability region and improves control performance. By fully considering the diversity of switching laws, the multi-step time difference, the multi-step prediction, and the expansion of system dimension, the non-monotonic LF can be properly constructed. The focus of this book is placed on the H8 state feedback control, H8 filtering and H8 output feedback control for multi-model systems via a non-monotonic LF approach. The book's authors provide illustrative examples to show the feasibility and efficiency of the proposed methods, along with practical examples that demonstrate the effectiveness and potential of theoretical results. - Offers tools for the analysis and design of control processes where the process can be represented by multi-models - Presents a comprehensive explanation of recent developments in non-monotonic approaches to robust H-infinity control of multi-model systems - Gives numerical examples and simulation results in each chapter to demonstrate engineering potential

Analysis and Design of Markov Jump Discrete Systems
Analysis and Design of Markov Jump Discrete Systems

Author: Yonggui Kao

Publisher: Springer Nature

Published: 2023-11-15

Total Pages: 200

ISBN-13: 9819957486

DOWNLOAD EBOOK

This book proposes analysis and design techniques for Markov jump systems (MJSs) using Lyapunov function and sliding mode control techniques. It covers a range of topics including stochastic stability, finite-time boundedness, actuator-fault problem, bumpless transfer scheme, and adaptive sliding mode fault-tolerant control for uncertain MJSs. Notably, the book presents a new model for deception attacks (DAs), establishing the correlation between attacks and time delays, which should be of particular interest due to the recent increase in such attacks. The book's content is presented in a comprehensive, progressive manner, with fundamental principles introduced first before addressing more advanced techniques. The book features illustrations and tables, providing readers with a practical and intuitive approach to applying these methods in their own research. This book will prove invaluable to researchers and graduate students in control engineering and applied mathematics with an interest in the latest developments in MJSs.

Complex Systems: Spanning Control and Computational Cybernetics: Foundations
Complex Systems: Spanning Control and Computational Cybernetics: Foundations

Author: Peng Shi

Publisher: Springer Nature

Published: 2022-08-24

Total Pages: 505

ISBN-13: 3030997766

DOWNLOAD EBOOK

This book, dedicated to Professor Georgi M. Dimirovski on his anniversary, contains new research directions, challenges, and many relevant applications related to many aspects within the broadly perceived areas of systems and control, including signal analysis and intelligent systems. The project comprises two volumes with papers written by well known and very active researchers and practitioners. The first volume is focused on more foundational aspects related to general issues in systems science and mathematical systems, various problems in control and automation, and the use of computational and artificial intelligence in the context of systems modeling and control. The second volume is concerned with a presentation of relevant applications, notably in robotics, computer networks, telecommunication, fault detection/diagnosis, as well as in biology and medicine, and economic, financial, and social systems too.

Control and State Estimation for Dynamical Network Systems with Complex Samplings
Control and State Estimation for Dynamical Network Systems with Complex Samplings

Author: Bo Shen

Publisher: CRC Press

Published: 2022-09-14

Total Pages: 307

ISBN-13: 1000635457

DOWNLOAD EBOOK

This book focuses on the control and state estimation problems for dynamical network systems with complex samplings subject to various network-induced phenomena. It includes a series of control and state estimation problems tackled under the passive sampling fashion. Further, it explains the effects from the active sampling fashion, i.e., event-based sampling is examined on the control/estimation performance, and novel design technologies are proposed for controllers/estimators. Simulation results are provided for better understanding of the proposed control/filtering methods. By drawing on a variety of theories and methodologies such as Lyapunov function, linear matrix inequalities, and Kalman theory, sufficient conditions are derived for guaranteeing the existence of the desired controllers and estimators, which are parameterized according to certain matrix inequalities or recursive matrix equations. Covers recent advances of control and state estimation for dynamical network systems with complex samplings from the engineering perspective Systematically introduces the complex sampling concept, methods, and application for the control and state estimation Presents unified framework for control and state estimation problems of dynamical network systems with complex samplings Exploits a set of the latest techniques such as linear matrix inequality approach, Vandermonde matrix approach, and trace derivation approach Explains event-triggered multi-rate fusion estimator, resilient distributed sampled-data estimator with predetermined specifications This book is aimed at researchers, professionals, and graduate students in control engineering and signal processing.

Discrete-Time Markov Jump Linear Systems
Discrete-Time Markov Jump Linear Systems

Author: O.L.V. Costa

Publisher: Springer Science & Business Media

Published: 2006-03-30

Total Pages: 287

ISBN-13: 1846280826

DOWNLOAD EBOOK

This will be the most up-to-date book in the area (the closest competition was published in 1990) This book takes a new slant and is in discrete rather than continuous time

Control and Estimation Methods over Communication Networks
Control and Estimation Methods over Communication Networks

Author: Magdi S. Mahmoud

Publisher: Springer

Published: 2014-07-08

Total Pages: 532

ISBN-13: 3319041533

DOWNLOAD EBOOK

This book provides a rigorous framework in which to study problems in the analysis, stability and design of networked control systems. Four dominant sources of difficulty are considered: packet dropouts, communication bandwidth constraints, parametric uncertainty, and time delays. Past methods and results are reviewed from a contemporary perspective, present trends are examined, and future possibilities proposed. Emphasis is placed on robust and reliable design methods. New control strategies for improving the efficiency of sensor data processing and reducing associated time delay are presented. The coverage provided features: · an overall assessment of recent and current fault-tolerant control algorithms; · treatment of several issues arising at the junction of control and communications; · key concepts followed by their proofs and efficient computational methods for their implementation; and · simulation examples (including TrueTime simulations) to provide hands-on experience. In addition to the theoretical coverage, the author describes a number of applications that demonstrate the real-world relevance of this material, and these include: · a servo system; · a triple inverted pendulum; · power system control; · wireless control of a cart with inverted pendulum and wireless servo application with emphasis on controller area networks; and · switched ethernet and wireless area networks. Researchers and graduate students working in networked and distributed control will find this text a useful guide in avoiding and ameliorating common and serious problems with these systems. The increasing prevalence of networks in many fields of engineering will make Control and Estimation Methods over Communication Networks of interest to practitioners with backgrounds in communications, process engineering, robotics, power, automotive and other areas.

Analysis and Synthesis of Delta Operator Systems with Actuator Saturation
Analysis and Synthesis of Delta Operator Systems with Actuator Saturation

Author: Hongjiu Yang

Publisher: Springer

Published: 2019-04-02

Total Pages: 419

ISBN-13: 9811336601

DOWNLOAD EBOOK

This book presents basic research on delta operator systems (DOS) with actuator saturation. It proposes null controllable regions of delta operator systems, introduces the enlarging of the domain of attraction and analyzes the performance of DOSs subject to actuator saturation. It also discusses the domain of attraction on different systems in delta domain, and investigates the applications in complicated systems using delta operator approaches.