Stochastic H2 H Control A Nash Game Approach

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Stochastic H2 H Control A Nash Game Approach

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Author : Weihai Zhang
language : en
Publisher: CRC Press
Release Date : 2017-08-07

Stochastic H2 H Control A Nash Game Approach written by Weihai Zhang and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-07 with Computers categories.

The H∞ control has been one of the important robust control approaches since the 1980s. This book extends the area to nonlinear stochastic H2/H∞ control, and studies more complex and practically useful mixed H2/H∞ controller synthesis rather than the pure H∞ control. Different from the commonly used convex optimization method, this book applies the Nash game approach to give necessary and sufficient conditions for the existence and uniqueness of the mixed H2/H∞ control. Researchers will benefit from our detailed exposition of the stochastic mixed H2/H∞ control theory, while practitioners can apply our efficient algorithms to address their practical problems.

Stochastic H2 H Control A Nash Game Approach

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Author : Weihai Zhang
language : en
Publisher: CRC Press
Release Date : 2017-08-07

Stochastic H2 H Control A Nash Game Approach written by Weihai Zhang and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-07 with Computers categories.

The H∞ control has been one of the important robust control approaches since the 1980s. This book extends the area to nonlinear stochastic H2/H∞ control, and studies more complex and practically useful mixed H2/H∞ controller synthesis rather than the pure H∞ control. Different from the commonly used convex optimization method, this book applies the Nash game approach to give necessary and sufficient conditions for the existence and uniqueness of the mixed H2/H∞ control. Researchers will benefit from our detailed exposition of the stochastic mixed H2/H∞ control theory, while practitioners can apply our efficient algorithms to address their practical problems.

Stochastic Game Strategies And Their Applications

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Author : Bor-Sen Chen
language : en
Publisher: CRC Press
Release Date : 2019-07-31

Stochastic Game Strategies And Their Applications written by Bor-Sen Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-31 with Mathematics categories.

Game theory involves multi-person decision making and differential dynamic game theory has been widely applied to n-person decision making problems, which are stimulated by a vast number of applications. This book addresses the gap to discuss general stochastic n-person noncooperative and cooperative game theory with wide applications to control systems, signal processing systems, communication systems, managements, financial systems, and biological systems. H∞ game strategy, n-person cooperative and noncooperative game strategy are discussed for linear and nonlinear stochastic systems along with some computational algorithms developed to efficiently solve these game strategies.

Multi Objective Optimization System Designs And Their Applications

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Author : Bor-Sen Chen
language : en
Publisher: CRC Press
Release Date : 2023-12-05

Multi Objective Optimization System Designs And Their Applications written by Bor-Sen Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-05 with Technology & Engineering categories.

This book introduces multi-objective design methods to solve multi-objective optimization problems (MOPs) of linear/nonlinear dynamic systems under intrinsic random fluctuation and external disturbance. The MOPs of multiple targets for systems are all transformed into equivalent linear matrix inequality (LMI)-constrained MOPs. Corresponding reverse-order LMI-constrained multi-objective evolution algorithms are introduced to solve LMI-constrained MOPs using MATLAB®. All proposed design methods are based on rigorous theoretical results, and their applications are focused on more practical engineering design examples. Features: Discusses multi-objective optimization from an engineer’s perspective Contains the theoretical design methods of multi-objective optimization schemes Includes a wide spectrum of recent research topics in control design, especially for stochastic mean field diffusion problems Covers practical applications in each chapter, like missile guidance design, economic and financial systems, power control tracking, minimization design in communication, and so forth Explores practical multi-objective optimization design examples in control, signal processing, communication, and cyber-financial systems This book is aimed at researchers and graduate students in electrical engineering, control design, and optimization.

Variance Constrained Multi Objective Stochastic Control And Filtering

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Author : Lifeng Ma
language : en
Publisher: John Wiley & Sons
Release Date : 2015-04-24

Variance Constrained Multi Objective Stochastic Control And Filtering written by Lifeng Ma and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-24 with Mathematics categories.

Unifies existing and emerging concepts concerning multi-objective control and stochastic control with engineering-oriented phenomena Establishes a unified theoretical framework for control and filtering problems for a class of discrete-time nonlinear stochastic systems with consideration to performance Includes case studies of several nonlinear stochastic systems Investigates the phenomena of incomplete information, including missing/degraded measurements, actuator failures and sensor saturations Considers both time-invariant systems and time-varying systems Exploits newly developed techniques to handle the emerging mathematical and computational challenges

Recent Results On Time Delay Systems

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Author : Emmanuel Witrant
language : en
Publisher: Springer
Release Date : 2016-02-02

Recent Results On Time Delay Systems written by Emmanuel Witrant and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-02 with Technology & Engineering categories.

This book mostly results from a selection of papers presented during the 11th IFAC (International Federation of Automatic Control) Workshop on Time-Delay Systems, which took place in Grenoble, France, February 4 - 6, 2013. During this event, 37 papers were presented. Taking into account the reviewers' evaluation and the papers' presentation the best papers have been selected and collected into the present volume. The authors of 13 selected papers were invited to participate to this book and provided a more detailed and improved version of the conference paper. To enrich the book, three more chapters have been included from specialists on time-delay systems who presented their work during the 52nd IEEE Conference on Decision and Control, which held in December 10 - 13, 2013, at Florence, Italy. The content of the book is divided into four main parts as follows: Modeling, Stability analysis, Stabilization and control, and Input-delay systems. Focusing on various topics of time-delay systems, this book will be interesting for researchers and graduate students working on control and system theory.

Robust H Team Formation Tracking Design Methods Of Large Scale Uav Networked Control Systems

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Author : Bor-Sen Chen
language : en
Publisher: CRC Press
Release Date : 2024-11-15

Robust H Team Formation Tracking Design Methods Of Large Scale Uav Networked Control Systems written by Bor-Sen Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-15 with Technology & Engineering categories.

This book introduces the centralized robust H∞ team formation tracking control strategy of multi-unmanned aerial vehicle (multi-UAV) network system under intrinsic random fluctuation, time-varying delay and packet dropout in wireless communication, and external disturbance. A simple robust decentralized H∞ proportional-integral-derivative (PID) reference tracking network control strategy is introduced for practical applications of team formation of large-scale UAV under control saturation constraint, external disturbance, and vortex coupling. It provides practical design procedures based on linear matrix inequalities (LMIs) solvable via LMI TOOLBOX in MATLAB®. Features: Focuses on the stabilization of a QUAV under finite-time switching model control (SMC) Discusses robustness control design for formation tracking in UAV networks Introduces different robust centralized and decentralized H∞ attack-tolerant observer-based reference team formation tracking control of large-scale UAVs Reviews practical case studies in each chapter to introduce the design procedures Includes design examples of team formation of 25 quadrotor UAVs and a team formation example of five hybrid quadrotor/biped robot sub-teams This book is aimed at researchers and graduate students in control and electrical engineering.

Non Cooperative Stochastic Differential Game Theory Of Generalized Markov Jump Linear Systems

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Author : Cheng-ke Zhang
language : en
Publisher: Springer
Release Date : 2016-09-02

Non Cooperative Stochastic Differential Game Theory Of Generalized Markov Jump Linear Systems written by Cheng-ke Zhang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-02 with Technology & Engineering categories.

This book systematically studies the stochastic non-cooperative differential game theory of generalized linear Markov jump systems and its application in the field of finance and insurance. The book is an in-depth research book of the continuous time and discrete time linear quadratic stochastic differential game, in order to establish a relatively complete framework of dynamic non-cooperative differential game theory. It uses the method of dynamic programming principle and Riccati equation, and derives it into all kinds of existence conditions and calculating method of the equilibrium strategies of dynamic non-cooperative differential game. Based on the game theory method, this book studies the corresponding robust control problem, especially the existence condition and design method of the optimal robust control strategy. The book discusses the theoretical results and its applications in the risk control, option pricing, and the optimal investment problem in the field of finance and insurance, enriching the achievements of differential game research. This book can be used as a reference book for non-cooperative differential game study, for graduate students majored in economic management, science and engineering of institutions of higher learning.

Mathematical Control Theory For Stochastic Partial Differential Equations

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Author : Qi Lü
language : en
Publisher: Springer Nature
Release Date : 2021-09-17

Mathematical Control Theory For Stochastic Partial Differential Equations written by Qi Lü and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-17 with Science categories.

This is the first book to systematically present control theory for stochastic distributed parameter systems, a comparatively new branch of mathematical control theory. The new phenomena and difficulties arising in the study of controllability and optimal control problems for this type of system are explained in detail. Interestingly enough, one has to develop new mathematical tools to solve some problems in this field, such as the global Carleman estimate for stochastic partial differential equations and the stochastic transposition method for backward stochastic evolution equations. In a certain sense, the stochastic distributed parameter control system is the most general control system in the context of classical physics. Accordingly, studying this field may also yield valuable insights into quantum control systems. A basic grasp of functional analysis, partial differential equations, and control theory for deterministic systems is the only prerequisite for reading this book.

Essays On Pareto Optimality In Cooperative Games

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Author : Yaning Lin
language : en
Publisher: Springer Nature
Release Date : 2022-09-21

Essays On Pareto Optimality In Cooperative Games written by Yaning Lin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-21 with Technology & Engineering categories.

The book focuses on Pareto optimality in cooperative games. Most of the existing works focus on the Pareto optimality of deterministic continuous-time systems or for the regular convex LQ case. To expand on the available literature, we explore the existence conditions of Pareto solutions in stochastic differential game for more general cases. In addition, the LQ Pareto game for stochastic singular systems, Pareto-based guaranteed cost control for uncertain mean-field stochastic systems, and the existence conditions of Pareto solutions in cooperative difference game are also studied in detail. Addressing Pareto optimality for more general cases and wider systems is one of the major features of the book, making it particularly suitable for readers who are interested in multi-objective optimal control. Accordingly, it offers a valuable asset for researchers, engineers, and graduate students in the fields of control theory and control engineering, economics, management science, mathematics, etc.