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Analysis And Synthesis Of Singular Systems

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Analysis and Synthesis of Singular Systems

Analysis and Synthesis of Singular Systems Book
Author : Zhiguang Feng,Jiangrong Li,Peng Shi,Haiping Du,Zhengyi Jiang
Publisher : Academic Press
Release : 2020-11-02
ISBN : 0128237406
Language : En, Es, Fr & De

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Book Description :

Analysis and Synthesis of Singular Systems provides a base for further theoretical research and a design guide for engineering applications of singular systems. The book presents recent advances in analysis and synthesis problems, including state-feedback control, static output feedback control, filtering, dissipative control, H∞ control, reliable control, sliding mode control and fuzzy control for linear singular systems and nonlinear singular systems. Less conservative and fresh novel techniques, combined with the linear matrix inequality (LMI) technique, the slack matrix method, and the reciprocally convex combination approach are applied to singular systems. This book will be of interest to academic researchers, postgraduate and undergraduate students working in control theory and singular systems. Discusses recent advances in analysis and synthesis problems for linear singular systems and nonlinear singular systems Offers a base for further theoretical research as well as a design guide for engineering applications of singular systems Presents several necessary and sufficient conditions for delay-free singular systems and some less conservative results for time-delay singular systems

Analysis and Synthesis of Singular Systems with Time Delays

Analysis and Synthesis of Singular Systems with Time Delays Book
Author : Zheng-Guang Wu,Hongye Su,Peng Shi,Jian Chu
Publisher : Springer
Release : 2013-04-13
ISBN : 9783642374982
Language : En, Es, Fr & De

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Book Description :

Singular time-delay systems are very suitable to describe a lot of practical systems such as manufacturing systems, networked control systems, power systems and electrical circuits. Thus, the past two decades have witnessed a significant progress on the theory of singular time-delay systems, and many fundamental and important topics have been successfully investigated including stability analysis, stabilization, guaranteed cost control, filtering, observer design, sliding mode control and so on. The main objective of this book is to present the latest developments and references in the analysis and synthesis of singular time-delay systems with or without Markov jumping parameters in a unified framework. The materials adopted in this book are mainly based on research results of the authors. This book will be of interest to academic researchers working in singular systems, time-delay systems and Markov jump systems and to graduate students interested in systems and control theory.

Stability Analysis and Design for Nonlinear Singular Systems

Stability Analysis and Design for Nonlinear Singular Systems Book
Author : Chunyu Yang,Qingling Zhang,Linna Zhou
Publisher : Springer
Release : 2012-08-14
ISBN : 3642321445
Language : En, Es, Fr & De

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Book Description :

Singular systems which are also referred to as descriptor systems, semi-state systems, differential- algebraic systems or generalized state-space systems have attracted much attention because of their extensive applications in the Leontief dynamic model, electrical and mechanical models, etc. This monograph presented up-to-date research developments and references on stability analysis and design of nonlinear singular systems. It investigated the problems of practical stability, strongly absolute stability, input-state stability and observer design for nonlinear singular systems and the problems of absolute stability and multi-objective control for nonlinear singularly perturbed systems by using Lyapunov stability theory, comparison principle, S-procedure and linear matrix inequality (LMI), etc. Practical stability, being quite different from stability in the sense of Lyapunov, is a significant performance specification from an engineering point of view. The basic concepts and results on practical stability for standard state-space systems were generalized to singular systems. For Lur’e type descriptor systems (LDS) which were the feedback interconnection of a descriptor system with a static nonlinearity, strongly absolute stability was defined and Circle criterion and Popov criterion were derived. The notion of input-state stability (ISS) for nonlinear singular systems was defined based on the concept of ISS for standard state-space systems and the characteristics of singular systems. LMI-based sufficient conditions for ISS of Lur’e singular systems were proposed. Furthermore, observer design for nonlinear singular systems was studied and some observer design methods were proposed by the obtained stability results and convex optimization algorithms. Finally, absolute stability and multi-objective control of nonlinear singularly perturbed systems were considered. By Lyapunov functions, absolute stability criteria of Lur’e singularly perturbed systems were proposed and multi-objective control of T-S fuzzy singularly perturbed systems was achieved. Compared with the existing results, the obtained methods do not depend on the decomposition of the original system and can produce a determinate upper bound for the singular perturbation parameter.

Analysis and Synthesis of Singular Systems with Time Delays

Analysis and Synthesis of Singular Systems with Time Delays Book
Author : Zheng-Guang Wu,Hongye Su,Peng Shi,Jian Chu
Publisher : Springer
Release : 2013-04-10
ISBN : 3642374972
Language : En, Es, Fr & De

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Book Description :

Singular time-delay systems are very suitable to describe a lot of practical systems such as manufacturing systems, networked control systems, power systems and electrical circuits. Thus, the past two decades have witnessed a significant progress on the theory of singular time-delay systems, and many fundamental and important topics have been successfully investigated including stability analysis, stabilization, guaranteed cost control, filtering, observer design, sliding mode control and so on. The main objective of this book is to present the latest developments and references in the analysis and synthesis of singular time-delay systems with or without Markov jumping parameters in a unified framework. The materials adopted in this book are mainly based on research results of the authors. This book will be of interest to academic researchers working in singular systems, time-delay systems and Markov jump systems and to graduate students interested in systems and control theory.

Singular Control Systems

Singular Control Systems Book
Author : Liyi Dai
Publisher : Springer
Release : 2014-03-12
ISBN : 9783662193914
Language : En, Es, Fr & De

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Book Description :

This monograph is sums up the development of singular system theory and provides the control circle with a systematic theory of the system. It focuses on the analysis and synthesis of singular control systems. Its distinctive features include systematic discussion of controllabilities and observabilities, design of singular or normal observers and compensators with their structural stability, systems analysis via transfer matrix, and studies of discrete-time singular systems. Some acquaintance with linear algebra and linear systems is assumed. Prospective readers are graduate students, scientists, and other researchers in control theory and its applications. Much of the material in the book is new.

Complexity Analysis and Control of Singular Biological Systems

Complexity  Analysis and Control of Singular Biological Systems Book
Author : Qingling Zhang,Chao Liu,Xue Zhang
Publisher : Springer
Release : 2012-02-16
ISBN : 1447123034
Language : En, Es, Fr & De

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Book Description :

Complexity, Analysis and Control of Singular Biological Systems follows the control of real-world biological systems at both ecological and phyisological levels concentrating on the application of now-extensively-investigated singular system theory. Much effort has recently been dedicated to the modelling and analysis of developing bioeconomic systems and the text establishes singular examples of these, showing how proper control can help to maintain sustainable economic development of biological resources. The book begins from the essentials of singular systems theory and bifurcations before tackling the use of various forms of control in singular biological systems using examples including predator-prey relationships and viral vaccination and quarantine control. Researchers and graduate students studying the control of complex biological systems are shown how a variety of methods can be brought to bear and practitioners working with the economics of biological systems and their control will also find the monograph illuminating.

Proceedings of the 2015 Chinese Intelligent Automation Conference

Proceedings of the 2015 Chinese Intelligent Automation Conference Book
Author : Zhidong Deng,Hongbo Li
Publisher : Springer
Release : 2015-04-20
ISBN : 3662464632
Language : En, Es, Fr & De

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Book Description :

Proceedings of the 2015 Chinese Intelligent Automation Conference presents selected research papers from the CIAC’15, held in Fuzhou, China. The topics include adaptive control, fuzzy control, neural network based control, knowledge based control, hybrid intelligent control, learning control, evolutionary mechanism based control, multi-sensor integration, failure diagnosis, reconfigurable control, etc. Engineers and researchers from academia, industry and the government can gain valuable insights into interdisciplinary solutions in the field of intelligent automation.

Sliding Mode Control of Uncertain Parameter Switching Hybrid Systems

Sliding Mode Control of Uncertain Parameter Switching Hybrid Systems Book
Author : Ligang Wu,Peng Shi,Xiaojie Su
Publisher : John Wiley & Sons
Release : 2014-07-14
ISBN : 1118862597
Language : En, Es, Fr & De

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Book Description :

Presents new, state-of-the-art sliding mode control (SMC) methodologies for uncertain parameter-switching hybrid systems Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems presentsnew, state-of-the-art sliding mode control (SMC) methodologies for uncertain parameter-switching hybrid systems (including Markovian jump systems, switched hybrid systems, singular systems, stochastic systems and time-delay systems). The first part of this book establishes a unified framework for SMC of Markovian jump singular systems and proposes new SMC methodologies based on the analysis results. In the second part, the problem of SMC of switched state-delayed hybrid systems is investigated, and finally the parallel theories and techniques that have been developed are extended to deal with switched stochastic hybrid systems. Solved problems with new approaches for analysis and synthesis of continuous- and discrete-time switched hybrid systems, (including stability analysis and stabilization, dynamic output feedback control,) are also included throughout. Presents new, state-of-the-art sliding mode control (SMC) methodologies for uncertain parameter-switching hybrid systems Provides a unified, systematic framework for handling SMC problems Introduces new concepts, models and techniques Includes solved problems throughout

Finite Frequency Analysis and Synthesis for Singularly Perturbed Systems

Finite Frequency Analysis and Synthesis for Singularly Perturbed Systems Book
Author : Chenxiao Cai,Zidong Wang,Jing Xu,Yun Zou
Publisher : Springer
Release : 2016-09-28
ISBN : 3319454056
Language : En, Es, Fr & De

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Book Description :

This book is a self-contained collection of recent research findings providing a comprehensive and systematic unified framework for both analysis and synthesis for singularly perturbed systems. It paves the way for the gap between frequency-domain-transfer-function-based results and time-domain-state-space-based results to be bridged. It is divided into three parts focusing on: fundamental background of singular perturbation; general singular perturbation methodologies and time-scale techniques and the theoretical foundation of finite-frequency control; the analysis and synthesis of singularly perturbed systems; and real-world engineering applications implementing the results developed in systems like wind turbines and autonomous-aerial-vehicle hovering. It also presents solutions to analysis and design problems in terms of linear matrix inequalities. Lastly, it provides valuable reference material for researchers who wish to explore the design of controllers for such systems.

Filtering and Control of Stochastic Jump Hybrid Systems

Filtering and Control of Stochastic Jump Hybrid Systems Book
Author : Xiuming Yao,Ligang Wu,Wei Xing Zheng
Publisher : Springer
Release : 2016-04-20
ISBN : 3319319159
Language : En, Es, Fr & De

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Book Description :

This book presents recent research work on stochastic jump hybrid systems. Specifically, the considered stochastic jump hybrid systems include Markovian jump Ito stochastic systems, Markovian jump linear-parameter-varying (LPV) systems, Markovian jump singular systems, Markovian jump two-dimensional (2-D) systems, and Markovian jump repeated scalar nonlinear systems. Some sufficient conditions are first established respectively for the stability and performances of those kinds of stochastic jump hybrid systems in terms of solution of linear matrix inequalities (LMIs). Based on the derived analysis conditions, the filtering and control problems are addressed. The book presents up-to-date research developments and novel methodologies on stochastic jump hybrid systems. The contents can be divided into two parts: the first part is focused on robust filter design problem, while the second part is put the emphasis on robust control problem. These methodologies provide a framework for stability and performance analysis, robust controller design, and robust filter design for the considered systems. Solutions to the design problems are presented in terms of LMIs. The book is a timely reflection of the developing area of filtering and control theories for Markovian jump hybrid systems with various kinds of imperfect information. It is a collection of a series of latest research results and therefore serves as a useful textbook for senior and/or graduate students who are interested in knowing 1) the state-of-the-art of linear filtering and control areas, and 2) recent advances in stochastic jump hybrid systems. The readers will also benefit from some new concepts, new models and new methodologies with practical significance in control engineering and signal processing.

Stability Control and Application of Time Delay Systems

Stability  Control and Application of Time Delay Systems Book
Author : Qingbin Gao,Hamid Reza Karimi
Publisher : Butterworth-Heinemann
Release : 2019-06-27
ISBN : 0128149299
Language : En, Es, Fr & De

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Book Description :

Stability, Control and Application of Time-Delay Systems gives a systematic description of these systems. It includes adequate designs of integrated modeling and control and frequency characterizations. Common themes revolve around creating certain synergies of modeling, analysis, control, computing and applications of time delay systems that achieve robust stability while retaining desired performance quality. The book provides innovative insights into the state-of-the-art of time-delay systems in both theory and practical aspects. It has been edited with an emphasis on presenting constructive theoretical and practical methodological approaches and techniques. Unifies existing and emerging concepts concerning time delay dynamical systems Provides a series of the latest results in large-delay analysis and multi-agent and thermal systems with delays Gives in each chapter numerical and simulation results in order to reflect the engineering practice

Control of Singular Systems with Random Abrupt Changes

Control of Singular Systems with Random Abrupt Changes Book
Author : El-Kébir Boukas
Publisher : Springer Science & Business Media
Release : 2008-01-12
ISBN : 3540743456
Language : En, Es, Fr & De

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Book Description :

This book deals with the class of singular systems with random abrupt changes also known as singular Markovian jump systems. Various problems and their robustness are tackled. The book examines both the theoretical and practical aspects of the control problems from the angle of the structural properties of linear systems. It can be used as a textbook as well as a reference for researchers in control or mathematics with interest in control theory.

Control and Dynamic Systems V27

Control and Dynamic Systems V27 Book
Author : C.T. Leonides
Publisher : Elsevier
Release : 2012-12-02
ISBN : 0323152724
Language : En, Es, Fr & De

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Book Description :

Control and Dynamic Systems: Advances in Theory and Application, Volume 27: System Identification and Adaptive Control, Part 3 of 3 deals with system parameter identification and adaptive control. It presents useful techniques for adaptive control systems. This volume begins by presenting a powerful approach to multivariable model reference adaptive control based on the ideas and techniques of disturbance-accommodating control theory. It then discusses the modeling of biological systems; optimal control for air conditioning systems; linear programming for constrained multivariable process control; finite element approximation; development of irreducible state space singular systems; and discrete systems with multiple time scales. This book is an important reference for practitioners in the field who want a comprehensive source of techniques with significant applied implications.

Mechatronics and Intelligent Materials II

Mechatronics and Intelligent Materials II Book
Author : Ran Chen,Wen Pei Sung
Publisher : Trans Tech Publications Ltd
Release : 2012-03-15
ISBN : 3038138118
Language : En, Es, Fr & De

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Book Description :

Volume is indexed by Thomson Reuters CPCI-S (WoS). This work comprises 798 peer-reviewed papers on Mechatronics and Intelligent Materials, and seeks to promote the development of those topics by strengthening international academic cooperation and communication via the exchange of research ideas. It will provide readers with a broad overview of the latest advances made in the fields of mechatronics and intelligent materials.

Descriptor Systems of Integer and Fractional Orders

Descriptor Systems of Integer and Fractional Orders Book
Author : Tadeusz Kaczorek,Kamil Borawski
Publisher : Springer Nature
Release : 2021-04-13
ISBN : 3030724808
Language : En, Es, Fr & De

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Book Description :

This book covers some selected problems of the descriptor integer and fractional order positive continuous-time and discrete-time systems. The book consists of 3 chapters, 4 appendices and the list of references. Chapter 1 is devoted to descriptor integer order continuous-time and discrete-time linear systems. In Chapter 2, descriptor fractional order continuous-time and discrete-time linear systems are considered. Chapter 3 is devoted to the stability of descriptor continuous-time and discrete-time systems of integer and fractional orders. In Appendix A, extensions of the Cayley–Hamilton theorem for descriptor linear systems are given. Some methods for computation of the Drazin inverse are presented in Appendix B. In Appendix C, some basic definitions and theorems on Laplace transforms and Z-transforms are given. Some properties of the nilpotent matrices are given in Appendix D.

Singular Perturbation Methodology in Control Systems

Singular Perturbation Methodology in Control Systems Book
Author : Desineni S. Naidu
Publisher : IET
Release : 1988
ISBN : 9780863411076
Language : En, Es, Fr & De

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Book Description :

This book presents the twin topics of singular perturbation methods and time scale analysis to problems in systems and control. The heart of the book is the singularly perturbed optimal control systems, which are notorious for demanding excessive computational costs. The book addresses both continuous control systems (described by differential equations) and discrete control systems (characterised by difference equations). Another feature is the extensive bibilography, which will hopefully be of great help for future study and research. Also of particular interest is the categorisation of an impressive record of applications of the methodology of singular pertubations and time scales (SPTS) in a wide spectrum of fields, such as circuits and networks, fluid mechanics and flight mechanics, biology and ecology and robotics.

Linear Systems Theory

Linear Systems Theory Book
Author : Ben M. Chen,Zongli Lin,Yacov Shamash
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 1461220467
Language : En, Es, Fr & De

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Book Description :

Includes MATLAB-based computational and design algorithms utilizing the "Linear Systems Toolkit." All results and case studies presented in both the continuous- and discrete-time settings.

Experimental and Computational Investigations in Engineering

Experimental and Computational Investigations in Engineering Book
Author : Nenad Mitrovic,Goran Mladenovic,Aleksandra Mitrovic
Publisher : Springer Nature
Release : 2020-09-04
ISBN : 3030583627
Language : En, Es, Fr & De

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Book Description :

This proceedings book is a collection of high-quality peer-reviewed research papers presented at the International Conference of Experimental and Numerical Investigations and New Technologies (CNNTech2020) held at Zlatibor, Serbia, from 29th June to 2nd July 2020. The book discusses a wide variety of industrial, engineering and scientific applications of the engineering techniques. Researchers from academia and industry present their original work and exchange ideas, experiences, information, techniques, applications and innovations in the field of mechanical engineering, materials science, chemical and process engineering, experimental techniques, numerical methods and new technologies.

Surveys in Differential Algebraic Equations I

Surveys in Differential Algebraic Equations I Book
Author : Achim Ilchmann,Timo Reis
Publisher : Springer Science & Business Media
Release : 2013-03-19
ISBN : 3642349285
Language : En, Es, Fr & De

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Book Description :

The need for a rigorous mathematical theory for Differential-Algebraic Equations (DAEs) has its roots in the widespread applications of controlled dynamical systems, especially in mechanical and electrical engineering. Due to the strong relation to (ordinary) differential equations, the literature for DAEs mainly started out from introductory textbooks. As such, the present monograph is new in the sense that it comprises survey articles on various fields of DAEs, providing reviews, presentations of the current state of research and new concepts in - Controllability for linear DAEs - Port-Hamiltonian differential-algebraic systems - Robustness of DAEs - Solution concepts for DAEs - DAEs in circuit modeling. The results in the individual chapters are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.

Robust Control and Filtering of Singular Systems

Robust Control and Filtering of Singular Systems Book
Author : Shengyuan Xu,James Lam
Publisher : Lecture Notes in Control and Information Sciences
Release : 2006-04-21
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Singular systems have been widely studied in the past two decades due to their extensive applications in modelling and control of electrical circuits, power systems, economics and other areas. Interest has grown recently in the stability analysis and control of singular systems with parameter uncertainties due to their frequent presence in dynamic systems, which is much more complicated than that of state-space systems because controllers must be designed so that the closed-loop system is not only robustly stable, but also regular and impulse-free (in the continuous case) or causal (in the discrete case), while the latter two issues do not arise in the state-space case. This monograph aims to present up-to-date research developments and references on robust control and filtering of uncertain singular systems in a unified matrix inequality setting. It provides a coherent approach to studying control and filtering problems as extensions of state-space systems without the commonly used slow-fast decomposition. It contains valuable reference material for researchers wishing to explore the area of singular systems, and its contents are also suitable for a one-semester graduate course.