《Analysis and Synthesis of Nonlinear Singular Semi-Markov Jump Systems》

王继民 王亚东 马树萍

定价：116.00元

出版时间：2026-03

ISBN：978-7-5240-0482-0

内容简介

本书综合探讨了非线性连续时间半马尔可夫跳跃系统的稳定性分析、稳定化设计，以及T-S模糊系统的有限时间H∞控制、鲁棒估计等问题，深入研究了非线性半马尔可夫跳跃系统的稳定性分析与控制问题。其中第1章研究了非线性连续时间半马尔可夫跳跃系统的随机稳定性和一般设计问题；第2章关注了T-S模糊半马尔可夫跳跃系统的有限时间H∞控制问题，为模糊控制系统的设计提供了新的思路和方法；第3章进一步研究了T-S模糊系统在半马尔可夫跳跃环境下的鲁棒估计问题，提出了有效的滤波方法；第4章则是对快速非马尔可夫跳跃系统的有限时间H∞滤波问题的研究，通过设计有效的滤波策略，提高了系统的滤波性能和鲁棒性，为信号处理和控制系统的设计提供了新的解决方案。

目录

Chapter 1Introduction1

1.1Introduction to stability analysis and control1

1.2Overview of finite-time control research3

1.3Background on resilient estimator design5

1.4Introduction to filter design research7

1.5Research background on asynchronous state estimation9

1.6Overview of finite-time filtering11

1.7Notations12

Chapter 2Stability Analysis and Stabilization for Nonlinear Continuous-Time

Descriptor Semi-Markov Jump Systems142.1Preliminaries14

2.2Main results15

2.2.1Stability analysis15

2.2.2State feedback controller design21

2.3Examples26

Chapter 3Finite-Time H∞ Control for T-S Fuzzy Descriptor Semi-Markov

Jump Systems via Static Output Feedback313.1Preliminaries31

3.2Main results36

3.2.1A sufficient condition for the SSH∞FTB36

3.2.2Finite-time H∞ static output feedback controller design47

3.3Examples49

Chapter 4Resilient Estimation for T-S Fuzzy Descriptor Systems with  

Semi-Markov Jumps and Time-Varying Delay564.1Preliminaries56

4.2Main results62

4.2.1A delay-dependent condition62

4.2.2Resilient H∞ filter design77

4.3Examples81

Chapter 5Finite-Time H∞ Filtering for Nonlinear Singular Systems with

Nonhomogeneous Markov Jumps915.1Preliminaries91

5.2Main results94

5.2.1A novel synthesis approach for SSFTB of FSNMJSs95

5.2.2Finite-time H∞ filtering design101

5.3Examples107

Chapter 6H∞ State Estimation via  Asynchronous Filtering for Descriptor

Markov Jump Systems with Packet Losses1126.1Preliminaries112

6.2Main results115

6.3Examples126

Chapter 7Finite-Time H∞ Filtering  for Nonlinear Continuous-Time Singular

Semi-Markov Jump Systems1327.1Problem formulation132

7.2Main results134

7.3Examples143

References147