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2018 | Buch

Introduction to Markovian Jump Systems Kapitel lesen Erstes Kapitel lesen

Stability Analysis of Markovian Jump Systems

verfasst von: Yu Kang, Yun-Bo Zhao, Ping Zhao

Verlag: Springer Singapore

Enthalten in: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik"

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Über dieses Buch

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.

Inhaltsverzeichnis

Frontmatter
Chapter 1. Introduction to Markovian Jump Systems
Abstract
This chapter first introduces the basic concepts of MJSs, and then some research topics including the robust stochastic stability, the imprecise jumping parameters, the nonlinear Markovian jump systems, the practical stability, etc. Notations, necessary definitions and useful lemmas are also given.
Yu Kang, Yun-Bo Zhao, Ping Zhao
Chapter 2. Robust Stochastic Stability
Abstract
This chapter investigates the robust output feedback \(H_{\infty }\) control for a class of uncertain Markovian jump linear systems with mode-dependent time-varying time delays. With known bounds of the system uncertainties and the control gain variations, we develop the sufficient conditions to guarantee the robust stochastic stability and the \(\gamma \)-disturbance \(H_{\infty }\) attenuation for the closed-loop system.
Yu Kang, Yun-Bo Zhao, Ping Zhao
Chapter 3. System with Imprecise Jumping Parameters
Abstract
This chapter investigates Markovian jump systems with imprecise jumping parameters. Two switching cases are considered.
Yu Kang, Yun-Bo Zhao, Ping Zhao
Chapter 4. Nonlinear Markovian Jump Systems
Abstract
This chapter presents a direct robust adaptive control scheme for a class of nonlinear uncertain Markovian jump systems with nonlinear state-dependent uncertainty. In this scheme the prior knowledge of the upper bounds of the system uncertainties is not required. Furthermore, the scheme is Lyapunov-based and guarantees the closed-loop global asymptotic stability with probability one.
Yu Kang, Yun-Bo Zhao, Ping Zhao
Chapter 5. Practical Stability
Abstract
This chapter investigates stochastic systems with Markovian jump parameters and time-varying delays in terms of their practical stability in probability and in the pth mean, and the practical controllability in probability and in the pth mean, respectively.
Yu Kang, Yun-Bo Zhao, Ping Zhao
Chapter 6. Networked Control System: A Markovian Jump System Approach
Abstract
This chapter proposes a packet-based control approach to networked control systems.
Yu Kang, Yun-Bo Zhao, Ping Zhao
Chapter 7. Applications Based on the Markov Jump Theory
Abstract
This chapter consists of two applications of Markovian jump systems. Section 7.2 considers the fault-tolerant control for wheeled mobile manipulators. We are concerned with the output feedback \(H_{\infty }\) control based on a high-gain observer for wheeled mobile manipulators, since the velocity signals are generally not available and indirectly obtained from the measured positions.
Yu Kang, Yun-Bo Zhao, Ping Zhao
Erratum to: Stability Analysis of Markovian Jump Systems
Yu Kang, Yun-Bo Zhao, Ping Zhao
Backmatter
Metadaten
Titel
Stability Analysis of Markovian Jump Systems
verfasst von
Yu Kang
Yun-Bo Zhao
Ping Zhao
Copyright-Jahr
2018
Verlag
Springer Singapore
Electronic ISBN
978-981-10-3860-0
Print ISBN
978-981-10-3859-4
DOI
https://doi.org/10.1007/978-981-10-3860-0

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