书籍详情
时滞系统的鲁棒控制和稳定性分析（英文版）
作者：Min Wu，Yong He，JinHua She 主编
出版社：科学出版社
出版时间：2010-01-01
ISBN：9787030260055
定价：¥78.00
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内容简介
Stability Analysis and Robust Control of Time-Delay Systems focuses on essential aspects of this field， including the stability analysis，stabilization， control design， and filtering of various time-delay systems：Primarily based on the most recent research， this monograph presents all the above areas using a free-weighting matrix approach first developed by the authors. The effectiveness of this method and its advantages over other existing ones are proven theoretically and illustrated by means of various examples. The book will give readers an overview of the latest advances in this active research area and equip them with a pioneering method for studying time-delay systems.It will be of significant interest to researchers and practitioners engaged in automatic control engineering.
作者简介
Min Wu，School of Information Science & Engineering Central South UniversityChangsha， Hunan， 410083， ChinaYong He，School of Information Science & Engineering Central South UniversityChangsha， Hunan， 410083， ChinaJin-Hua ，She School of Computer Science Tokyo University of TechnologyMin Wu， senior member of the IEEE， works at the Central South University， China.
目录
1.Introduction
1.1 Review of Stability Analysis for Time-Delay Systems
1.2 Introduction to FWMs
1.3 Outline of This Book
References
2.Preliminaries
2.1 Lyapunov Stability and Basic Theorems
2.1.1 Types of Stability
2.1.2 Lyapunov Stability Theorems
2.2 Stability of Time-Delay Systems
2.2.1 Stability-Related Topics
2.2.2 Lyapunov-Krasovskii Stability Theorem
2.2.3 Razumikhin Stability Theorem
2.3 H∞ Norm
2.3.1 Norm
2.3.2 H∞ Norm
2.4 H∞ Control
2.5 LMI Method
2.5.1 Common Specifications of LMIs
2.5.2 Standard LMI Problems
2.6 Lemmas
2.7 Conclusion
References
3.Stability of Systems with Time-Varying Delay
3.1 Problem Formulation
3.2 Stability of Nominal System
3.2.1 Replacing the Term x(t)
3.2.2 Retaining the Term x(t)
3.2.3 Equivalence Analysis
3.3 Stability of Systems with Time-Varying Structured Uncertainties
3.3.1 Robust Stability Analysis
3.3.2 Numerical Example
3.4 Stability of Systems with Polytopic-Type Uncertainties
3.4.1 Robust Stability Analysis
3.4.2 Numerical Example
3.5 IFWM Approach
3.5.1 Retaining Useful Terms
3.5.2 Further Investigation
3.5.3 Numerical Examples
3.6 Conclusion
References
4.Stability of Systems with Multiple Delays
4.1 Problem Formulation
4.2 Two Delays
4.2.1 Nominal Systems
4.2.2 Equivalence Analysis
4.2.3 Systems with Time-Varying Structured Uncertainties
4.2.4 Numerical Examples
4.3 Multiple Delays
4.4 Conclusion
References
5.Stability of Neutral Systems
5.1 Neutral Systems with Time-Varying Discrete Delay
5.1.1 Problem Formulation
5.1.2 Nominal Systems
5.1.3 Systems with Time-Varying Structured Uncertainties
5.1.4 Numerical Example
5.2 Neutral Systems with Identical Discrete and Neutral Delays
5.2.1 FWM Approach
5.2.2 FWM Approach in Combination with Parameterized Model Transformation
5.2.3 FWM Approach in Combination with Augmented Lyapunov-Krasovskii Functional
5.2.4 Numerical Examples
5.3 Neutral Systems with Different Discrete and Neutral Delays
5.3.1 Nominal Systems
5.3.2 Equivalence Analysis
5.3.3 Systems with Time-Varying Structured Uncertainties
5.3.4 Numerical Example
5.4 Conclusion
References
6.Stabilization of Systems with Time-Varying Delay
6.1 Problem Formulation
6.2 Iterative Nonlinear Minimization Algorithm
6.3 Parameter-Tuning Method
6.4 Completely LMI-Based Design Method
6.5 Numerical Example
6.6 Conclusion
References
7.Stability and Stabilization of Discrete-Time Systems with Time-Varying Delay
7.1 Problem Formulation
7.2 Stability Analysis
7.3 Controller Design
7.3.1 SOF Controller
7.3.2 DOF Controller
7.4 Numerical Examples
7.5 Conclusion
References
8.H∞ Control Design for Systems with Time-Varying Delay
8.1 Problem Formulation
8.2 BRL
8.3 Design of State-Feedback H∞ Controller
8.4 Numerical Examples
8.5 Conclusion
References
9.H∞ Filter Design for Systems with Time-Varying Delay
9.1 H∞ Filter Design for Continuous-Time Systems
9.1.1 Problem Formulation
9.1.2 H∞ Performance Analysis
9.1.3 Design of H∞ Filter
9.1.4 Numerical Examples
9.2 H∞ Filter Design for Discrete-Time Systems
9.2.1 Problem Formulation
9.2.2 H∞ Performance Analysis
9.2.3 Design of H∞ Filter
9.2.4 Numerical Example
9.3 Conclusion
References
10.Stability of Neural Networks with Time-Varying Delay.
10.1 Stability of Neural Networks with Multiple Delays
10.1.1 Problem Formulation
10.1.2 Stability Criteria
10.1.3 Numerical Examples
10.2 Stability of Neural Networks with Interval Delay
10.2.1 Problem Formulation
10.2.2 Stability Criteria
10.2.3 Numerical Examples
10.3 Exponential Stability of Continuous-Time Neural Networks
10.3.1 Problem Formulation
10.3.2 Stability Criteria Derived by FWM Approach
10.3.3 Stability Criteria Derived by IFWM Approach
10.3.4 Numerical Examples
10.4 Exponential Stability of Discrete-Time Recurrent Neural Networks
10.4.1 Problem Formulation
10.4.2 Stability Criterion Derived by IFWM Approach
10.4.3 Numerical Examples
10.5 Conclusion
References
11.Stability of T-S Fuzzy Systems with Time-Varying Delay
11.1 Problem Formulation
11.2 Stability Analysis
11.3 Numerical Examples
11.4 Conclusion
References
12.Stability and Stabilization of NCSs
12.1 Modeling of NCSs with Network-Induced Delay
12.2 Stability Analysis
12.3 Controller Design
12.4 Numerical Examples
12.5 Conclusion
References
13.Stability of Stochastic Systems with Time-Varying Delay
13.1 Robust Stability of Uncertain Stochastic Systems
13.1.1 Problem Formulation
13.1.2 Robust Stability Analysis
13.1.3 Numerical Example
13.2 Exponential Stability of Stochastic Markovian Jump Systems with Nonlinearities
13.2.1 Problem Formulation
13.2.2 Exponential-Stability Analysis
13.2.3 Numerical Example
13.3 Conclusion
References
14.Stability of Nonlinear Time-Delay Systems
14.1 Absolute Stability of Nonlinear Systems with Delay and Multiple Nonlinearities
14.1.1 Problem Formulation
14.1.2 Nominal Systems
14.1.3 Systems with Time-Varying Structured Uncertainties
14.1.4 Numerical Examples
14.2 Absolute Stability of Nonlinear Systems with Time-Varying Delay
14.2.1 Problem Formulation
14.2.2 Nominal Systems
14.2.3 Systems with Time-Varying Structured Uncertainties
14.2.4 Numerical Example
14.3 Stability of Systems with Interval Delay and Nonlinear Perturbations
14.3.1 Problem Formulation
14.3.2 Stability Results
14.3.3 Further Results Obtained with Augmented Lyapunov-Krasovskii Functional
14.3.4 Numerical Examples
14.4 Conclusion
References
Index
1.1 Review of Stability Analysis for Time-Delay Systems
1.2 Introduction to FWMs
1.3 Outline of This Book
References
2.Preliminaries
2.1 Lyapunov Stability and Basic Theorems
2.1.1 Types of Stability
2.1.2 Lyapunov Stability Theorems
2.2 Stability of Time-Delay Systems
2.2.1 Stability-Related Topics
2.2.2 Lyapunov-Krasovskii Stability Theorem
2.2.3 Razumikhin Stability Theorem
2.3 H∞ Norm
2.3.1 Norm
2.3.2 H∞ Norm
2.4 H∞ Control
2.5 LMI Method
2.5.1 Common Specifications of LMIs
2.5.2 Standard LMI Problems
2.6 Lemmas
2.7 Conclusion
References
3.Stability of Systems with Time-Varying Delay
3.1 Problem Formulation
3.2 Stability of Nominal System
3.2.1 Replacing the Term x(t)
3.2.2 Retaining the Term x(t)
3.2.3 Equivalence Analysis
3.3 Stability of Systems with Time-Varying Structured Uncertainties
3.3.1 Robust Stability Analysis
3.3.2 Numerical Example
3.4 Stability of Systems with Polytopic-Type Uncertainties
3.4.1 Robust Stability Analysis
3.4.2 Numerical Example
3.5 IFWM Approach
3.5.1 Retaining Useful Terms
3.5.2 Further Investigation
3.5.3 Numerical Examples
3.6 Conclusion
References
4.Stability of Systems with Multiple Delays
4.1 Problem Formulation
4.2 Two Delays
4.2.1 Nominal Systems
4.2.2 Equivalence Analysis
4.2.3 Systems with Time-Varying Structured Uncertainties
4.2.4 Numerical Examples
4.3 Multiple Delays
4.4 Conclusion
References
5.Stability of Neutral Systems
5.1 Neutral Systems with Time-Varying Discrete Delay
5.1.1 Problem Formulation
5.1.2 Nominal Systems
5.1.3 Systems with Time-Varying Structured Uncertainties
5.1.4 Numerical Example
5.2 Neutral Systems with Identical Discrete and Neutral Delays
5.2.1 FWM Approach
5.2.2 FWM Approach in Combination with Parameterized Model Transformation
5.2.3 FWM Approach in Combination with Augmented Lyapunov-Krasovskii Functional
5.2.4 Numerical Examples
5.3 Neutral Systems with Different Discrete and Neutral Delays
5.3.1 Nominal Systems
5.3.2 Equivalence Analysis
5.3.3 Systems with Time-Varying Structured Uncertainties
5.3.4 Numerical Example
5.4 Conclusion
References
6.Stabilization of Systems with Time-Varying Delay
6.1 Problem Formulation
6.2 Iterative Nonlinear Minimization Algorithm
6.3 Parameter-Tuning Method
6.4 Completely LMI-Based Design Method
6.5 Numerical Example
6.6 Conclusion
References
7.Stability and Stabilization of Discrete-Time Systems with Time-Varying Delay
7.1 Problem Formulation
7.2 Stability Analysis
7.3 Controller Design
7.3.1 SOF Controller
7.3.2 DOF Controller
7.4 Numerical Examples
7.5 Conclusion
References
8.H∞ Control Design for Systems with Time-Varying Delay
8.1 Problem Formulation
8.2 BRL
8.3 Design of State-Feedback H∞ Controller
8.4 Numerical Examples
8.5 Conclusion
References
9.H∞ Filter Design for Systems with Time-Varying Delay
9.1 H∞ Filter Design for Continuous-Time Systems
9.1.1 Problem Formulation
9.1.2 H∞ Performance Analysis
9.1.3 Design of H∞ Filter
9.1.4 Numerical Examples
9.2 H∞ Filter Design for Discrete-Time Systems
9.2.1 Problem Formulation
9.2.2 H∞ Performance Analysis
9.2.3 Design of H∞ Filter
9.2.4 Numerical Example
9.3 Conclusion
References
10.Stability of Neural Networks with Time-Varying Delay.
10.1 Stability of Neural Networks with Multiple Delays
10.1.1 Problem Formulation
10.1.2 Stability Criteria
10.1.3 Numerical Examples
10.2 Stability of Neural Networks with Interval Delay
10.2.1 Problem Formulation
10.2.2 Stability Criteria
10.2.3 Numerical Examples
10.3 Exponential Stability of Continuous-Time Neural Networks
10.3.1 Problem Formulation
10.3.2 Stability Criteria Derived by FWM Approach
10.3.3 Stability Criteria Derived by IFWM Approach
10.3.4 Numerical Examples
10.4 Exponential Stability of Discrete-Time Recurrent Neural Networks
10.4.1 Problem Formulation
10.4.2 Stability Criterion Derived by IFWM Approach
10.4.3 Numerical Examples
10.5 Conclusion
References
11.Stability of T-S Fuzzy Systems with Time-Varying Delay
11.1 Problem Formulation
11.2 Stability Analysis
11.3 Numerical Examples
11.4 Conclusion
References
12.Stability and Stabilization of NCSs
12.1 Modeling of NCSs with Network-Induced Delay
12.2 Stability Analysis
12.3 Controller Design
12.4 Numerical Examples
12.5 Conclusion
References
13.Stability of Stochastic Systems with Time-Varying Delay
13.1 Robust Stability of Uncertain Stochastic Systems
13.1.1 Problem Formulation
13.1.2 Robust Stability Analysis
13.1.3 Numerical Example
13.2 Exponential Stability of Stochastic Markovian Jump Systems with Nonlinearities
13.2.1 Problem Formulation
13.2.2 Exponential-Stability Analysis
13.2.3 Numerical Example
13.3 Conclusion
References
14.Stability of Nonlinear Time-Delay Systems
14.1 Absolute Stability of Nonlinear Systems with Delay and Multiple Nonlinearities
14.1.1 Problem Formulation
14.1.2 Nominal Systems
14.1.3 Systems with Time-Varying Structured Uncertainties
14.1.4 Numerical Examples
14.2 Absolute Stability of Nonlinear Systems with Time-Varying Delay
14.2.1 Problem Formulation
14.2.2 Nominal Systems
14.2.3 Systems with Time-Varying Structured Uncertainties
14.2.4 Numerical Example
14.3 Stability of Systems with Interval Delay and Nonlinear Perturbations
14.3.1 Problem Formulation
14.3.2 Stability Results
14.3.3 Further Results Obtained with Augmented Lyapunov-Krasovskii Functional
14.3.4 Numerical Examples
14.4 Conclusion
References
Index
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