内容简介:
In control theory, sliding mode control (SMC) is a nonlinear control method that alters the dynamics of a nonlinear system by application of a discontinuous control signal that forces the system to slide along a cross-section of the system's normal behaviour. In recent years, SMC has been successfully applied to a wide variety of practical engineering systems including robot manipulators, aircraft, underwater vehicles, spacecraft, flexible space structures, electrical motors, power systems, and automotive engines.
Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems addresses the increasing demand for developing SMC technologies and comprehensively presents the new, state-of-the-art sliding mode control methodologies for uncertain parameter-switching hybrid systems. It establishes a unified framework for SMC of Markovian jump singular systems and proposes new SMC methodologies based on the analysis results. A series of problems are solved with new approaches for analysis and synthesis of switched hybrid systems, including stability analysis and stabilization, dynamic output feedback control, and SMC. A set of newly developed techniques (e.g. average dwell time, piecewise Lyapunov function, parameter-dependent Lyapunov function, cone complementary linearization) are exploited to handle the emerging mathematical/computational challenges.
Key features:
Covers new concepts, new models and new methodologies with theoretical significance in system analysis and control synthesis
Includes recent advances in Markovian jump systems, switched hybrid systems, singular systems, stochastic systems and time-delay systems
Includes solved problems
Introduces advanced techniques
Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems is a comprehensive reference for researchers and practitioners working in control engineering, system sciences and applied mathematics, and is also a useful source of information for senior undergraduate and graduates studying in these areas.
英文目录:
Preface
Acknowledgements
List of Notations
List of Abbreviations
1 Introduction
1.1 Sliding Mode Control
1.1.1 Fundamental Theory of SMC
1.1.2 Overview of SMC Methodologies
1.2 Uncertain Parameter-Switching Hybrid Systems
1.2.1 Analysis and Synthesis of Switched Hybrid Systems
1.2.2 Analysis and Synthesis of Markovian Jump Linear Systems
1.3 Contribution of the Book
1.4 Outline of the Book
Part One SMC of Markovian Jump Singular Systems
2 State Estimation and SMC of Markovian Jump Singular Systems
2.1 Introduction
2.2 System Description and Preliminaries
2.3 Stochastic Stability Analysis
2.4 Main Results
2.4.1 Observer and SMC Law Design
2.4.2 Sliding Mode Dynamics Analysis
2.5 Illustrative Example
2.6 Conclusion
3 Optimal SMC of Markovian Jump Singular Systems with Time-Delay
3.1 Introduction
3.2 System Description and Preliminaries
3.3 Bounded L2 Gain Performance Analysis
3.4 Main Results
3.4.1 Sliding Mode Dynamics Analysis
3.4.2 SMC Law Design
3.5 Illustrative Example
3.6 Conclusion
4 SMC of Markovian Jump Singular Systems with Stochastic Perturbation
4.1 Introduction
4.2 System Description and Preliminaries
4.3 Integral SMC
4.3.1 Sliding Mode Dynamics Analysis
4.3.2 SMC Law Design
4.4 Optimal H∞ Integral SMC
4.4.1 Performance Analysis and SMC Law Design
4.4.2 Computational Algorithm
4.5 Illustrative Example
4.6 Conclusion
Part Two SMC of Switched State-Delayed Hybrid Systems
5 Stability and Stabilization of Switched State-Delayed Hybrid Systems
5.1 Introduction
5.2 Continuous-Time Systems
5.2.1 System Description
5.2.2 Main Results
5.2.3 Illustrative Example
5.3 Discrete-Time Systems
5.3.1 System Description
5.3.2 Main Results
5.3.3 Illustrative Example
5.4 Conclusion
6 Optimal DOF Control of Switched State-Delayed Hybrid Systems
6.1 Introduction
6.2 Optimal L2-L∞ DOF Controller Design
6.2.1 System Description and Preliminaries
6.2.2 Main Results
6.2.3 Illustrative Example
6.3 Guaranteed Cost DOF Controller Design
6.3.1 System Description and Preliminaries
6.3.2 Main Results
6.3.3 Illustrative Example
6.4 Conclusion
7 SMC of Switched State-Delayed Hybrid Systems: Continuous-Time Case
7.1 Introduction
7.2 System Description and Preliminaries
7.3 Main Results
7.3.1 Sliding Mode Dynamics Analysis
7.3.2 SMC Law Design
7.4 Illustrative Example
7.5 Conclusion
8 SMC of Switched State-Delayed Hybrid Systems: Discrete-Time Case
8.1 Introduction
8.2 System Description and Preliminaries
8.3 Main Results
8.3.1 Sliding Mode Dynamics Analysis
8.3.2 SMC Law Design
8.4 Illustrative Example
8.5 Conclusion
Part Three SMC of Switched Stochastic Hybrid Systems
9 Control of Switched Stochastic Hybrid Systems: Continuous-Time Case
9.1 Introduction
9.2 System Description and Preliminaries
9.3 Stability Analysis and Stabilization
9.4 H∞ Control
9.4.1 H∞ Performance Analysis
9.4.2 State Feedback Control
9.4.3 H∞ DOF Controller Design
9.5 Illustrative Example
9.6 Conclusion
10 Control of Switched Stochastic Hybrid Systems: Discrete-Time Case
10.1 Introduction
10.2 System Description and Preliminaries
10.3 Stability Analysis and Stabilization
10.4 H∞ Control
10.5 Illustrative Example
10.6 Conclusion
11 State Estimation and SMC of Switched Stochastic Hybrid Systems
11.1 Introduction
11.2 System Description and Preliminaries
11.3 Main Results
11.3.1 Sliding Mode Dynamics Analysis
11.3.2 SMC Law Design
11.4 Observer-Based SMC Design
11.5 Illustrative Example
11.6 Conclusion
12 SMC with Dissipativity of Switched Stochastic Hybrid Systems
12.1 Introduction
12.2 Problem Formulation and Preliminaries
12.2.1 System Description
12.2.2 Dissipativity
12.3 Dissipativity Analysis
12.4 Sliding Mode Control
12.4.1 Sliding Mode Dynamics
12.4.2 Sliding Mode Dynamics Analysis
12.4.3 SMC Law Design
12.5 Illustrative Example
12.6 Conclusion
References
Index