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E-raamat: Stability Analysis of Markovian Jump Systems

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  • Formaat: EPUB+DRM
  • Ilmumisaeg: 08-Sep-2017
  • Kirjastus: Springer Verlag, Singapore
  • Keel: eng
  • ISBN-13: 9789811038600
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Stability Analysis of Markovian Jump SystemsSuurem pilt
  • Formaat: EPUB+DRM
  • Ilmumisaeg: 08-Sep-2017
  • Kirjastus: Springer Verlag, Singapore
  • Keel: eng
  • ISBN-13: 9789811038600
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This book focuses on the stability analysis of Markovian jump systems (MJSs) with various settings and discusses its applications in several different areas. It also presents general definitions of the necessary concepts and an overview of the recent developments in MJSs. Further, it addresses the general robust problem of Markovian jump linear systems (MJLSs), the asynchronous stability of a class of nonlinear systems, the robust adaptive control scheme for a class of nonlinear uncertain MJSs, the practical stability of MJSs and its applications as a modelling tool for networked control systems, Markovian-based control for wheeled mobile manipulators and the jump-linear-quadratic (JLQ) problem of a class of continuous-time MJLSs. It is a valuable resource for researchers and graduate students in the field of control theory and engineering.

Arvustused

This book presents the results of investigation of the stability problem of Markovian jump systems. The systems under consideration include time-varying delay and time-varying transition rates. This book is a valuable resource for researchers and graduate students in the field of control theory and engineering. (Mikhail P. Moklyachuk, zbMath 1416.93003, 2019) This book is an advanced research monograph on Markovian jump systems, detailing stability analysis under some imperfect cases. the book is well written and summarizes recent advances in stability analysis of Markovian jump systems in a brief and clear presentation. This good research monograph on stability of Markovian jump systems is recommended for its novelty and the timeliness of its technical contents. (Zhan Shu, Mathematical Reviews, July, 2018)

1 Introduction to Markovian Jump Systems
1(14)
1.1 Background
1(5)
1.1.1 Robust Stochastic Stability
2(1)
1.1.2 Imprecise Jumping Parameters
3(1)
1.1.3 Nonlinear Markovian Jump Systems
4(1)
1.1.4 Practical Stability
5(1)
1.1.5 Networked Control Systems
5(1)
1.2 Model Description and Preliminaries
6(9)
References
10(5)
2 Robust Stochastic Stability
15(28)
2.1 Introduction
15(1)
2.2 Uncertain Markovian Jump Linear Systems with Time Delays
16(4)
2.3 Robust Control
20(11)
2.4 Robust H∞ Disturbance Attenuation
31(6)
2.5 Numerical Simulation
37(3)
2.6 Summary
40(3)
References
40(3)
3 System with Imprecise Jumping Parameters
43(54)
3.1 Introduction
43(2)
3.2 Asynchronous and Extended Asynchronous Switching
45(6)
3.2.1 Asynchronous Switching
47(2)
3.2.2 Extended Asynchronous Switching
49(2)
3.3 Stability Analysis Under the Two Switchings
51(23)
3.3.1 Stability Analysis Under Asynchronous Switching
51(11)
3.3.2 Stability Analysis Under Extended Asynchronous Switching
62(12)
3.4 Numerical Simulation
74(19)
3.4.1 Asynchronous Switching
74(9)
3.4.2 Extended Asynchronous Switching
83(10)
3.5 Summary
93(4)
References
94(3)
4 Nonlinear Markovian Jump Systems
97(16)
4.1 Introduction
97(1)
4.2 Description of Nonlinear Uncertain Jump System
98(2)
4.3 Robust Adaptive Control for Nonlinear Uncertain Jump Systems
100(8)
4.4 Numerical Simulation
108(3)
4.5 Summary
111(2)
References
112(1)
5 Practical Stability
113(18)
5.1 Introduction
113(1)
5.2 Markovian Jump Nonlinear Systems with Time Delays
114(1)
5.3 Comparison Principle
115(1)
5.4 Practical Stability
116(3)
5.5 Practical Controllability
119(2)
5.6 Optimal Control
121(7)
5.7 Summary
128(3)
References
128(3)
6 Networked Control System: A Markovian Jump System Approach
131(18)
6.1 Introduction
131(1)
6.2 Description of Networked Control Systems
132(2)
6.3 Packet-Based Control for NCSs
134(3)
6.4 Stochastic Modeling and Stabilization
137(6)
6.4.1 The MJS Model of the Packet-Based Control Approach for NCSs
138(2)
6.4.2 Stochastic Stability and Stabilization
140(3)
6.5 Numerical Simulation
143(3)
6.6 Summary
146(3)
References
146(3)
7 Applications Based on the Markov Jump Theory
149(42)
7.1 Introduction
149(3)
7.2 Robotic Manipulator System
152(17)
7.2.1 Introduction to the System
152(3)
7.2.2 Output Feedback Controller Based on High-Gain Observer
155(1)
7.2.3 Markovian Model and Problem Statement
156(3)
7.2.4 Stability Analysis
159(6)
7.2.5 Numerical Simulation
165(4)
7.3 Optimal Control Problem of MJLS
169(17)
7.3.1 An Description of Optimal Control Problem
169(2)
7.3.2 Two-Level Regulating Method
171(7)
7.3.3 Two Special Cases
178(6)
7.3.4 Numerical Simulation
184(2)
7.4 Summary
186(5)
References
187(4)
Index 191
CVs of the authors are attached in which the publications related with the envisaged book are highlighted.
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