Skip to main content
main-content

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

Without Abstract
Yu Kang, Yun-Bo Zhao, Ping Zhao

Backmatter

Weitere Informationen