劉磊坡著的《滑模控制繫統的分析與設計（英文
版）》 mainly introduces some new design
methods and ideas about sliding mode
control, which are applied to the
differential inclusion systems,nonlinear
systems, discrete systems, chaotic systems
and the delta operator systems, etc. In
particular, the effect of input nonlinearity
is fully considered in analyzing and
implementing a sliding mode control scheme.
Incorporating some control algorithms, such
as H∞ control, passive control, adaptive
control and generalized H2 control, etc,
into sliding mode control extends the
application range.
This book is suitable for professional
researchers in the fields of control science
and engineering, industrial automation,
electrical automation and mechanical
engineering, but also can be used as a
reference material for relevant scientific
and technical engineers.

Preface
1 Introduction: An overview of sliding mode control
1.1 Introduction
1.2 The basic concepts of sliding mode control
1.3 Sliding mode control design
1.3.1 Reaching condition
1.3.2 The invariance of sliding mode control
1.4 The chattering phenomenon
1.5 The content of this book
References
2 New sliding surface design
2.1 Generalized H2 sliding mode control of uncertain chaotic systems'
2.1.1 Problem formulation
2.1.2 Sliding surface design and stability analysis
2.1.3 Sliding mode controller design
2.1.4 Numerical example
2.2 H∞ sliding mode control of discrete singular systems
2.2.1 Problem formulation
2.2.2 Sliding surface design and stability analysis
2.2.3 Sliding mode controller design
2.2.4 Numerical example
2.3 Conclusion
References
3 New reaching law design
3.1 The reaching law with an exponential decay term
3.2 Global sliding mode control of continuous systems
3.2.1 Problem formulation
3.2.2 Sliding surface design
3.2.3 The sliding mode controller design
3.2.4 Numerical example
3.3 The reaching law with a boundary layer
3.4 Sliding mode control of discrete systems
3.4.1 Problem formulation
3.4.2 Sliding surface design
3.4.3 Sliding mode controller design
3.4.4 Numerical example
3.5 Conclusion
References
4 Sliding mode control of differential inclusion systems
4.1 Sliding mode control of polytopic differential inclusion systems
4.1.1 Problem formulation
4.1.2 Main results
4.1.3 Numerical example
4.2 Sliding mode tracking control ofpolytopic differential inclusion systems
4.2.1 Problem formulation
4.2.2 Sliding surface design
4.2.3 The sliding mode controller design
4.2.4 Numerical example
4.3 Passivity-based sliding mode control ofpolytopic stochastic differential
inclusion systems
4.3.1 Problem formulation
4.3.2 Sliding surface design and stability analysis
4.3.3 The sliding mode controller design
4.3.4 Numerical examples
4.4 Conclusion
References
5 Sliding mode control for robust output tracking of nonlinear systems
5.1 Problem Formulation
5.2 Sliding surface design and stability analysis
5.3 Sliding mode controller design
5.4 Numerical example
5.5 Conclusion
References
6 H∞ sliding mode control of uncertain time delay systems with input nonlinearity
6.1 H∞ sliding mode control
6.1.1 Problem formulation
6.1.2 Sliding surface design and the stability analysis
6.1.3 The sliding mode controller design
6.2 H∞ non-fragile observer-based sliding mode control
6.2.1 Problem formulation
6.2.2 Non-fragile observer design
6.2.3 Sliding mode controller design
6.2.4 Stability analysis
6.2.5 Numerical example
6.3 Conclusion
References
7 Non-fragile observer-based sliding mode passive control of uncertain time delay systems
7.1 Problem formulation
7.2 Non-fragile observer-based passive control
7.2.1 The non-fragile observer design
7.2.2 The passivity and asymptotic stability
7.2.3 The sliding mode controller design
7.3 Numerical example
7.4 Conclusion
References
8 Adaptive sliding mode control of uncertain chaotic systems
8.1 Problem formulation
8.2 Main results
8.2.1 Adaptive sliding mode controller design
8.2.2 Stability analysis of the sliding mode dynamics
8.3 Extending to sliding mode Hoo control
8.4 Numerical example
8.5 Conclusion and discussion
References
9 Observer-based adaptive sliding mode control of delta operator systems
9.1 Problem formulation
9.2 Observer-based adaptive sliding mode control
9.2.1 The observer design
9.2.2 The analysis of asymptotic stability
9.2.3 Adaptive sliding mode controller design
9.3 Numerical example
9.4 Conclusion
References
10 Sliding mode control with disturbance observer for a class of nonlinear systems
10.1 Problem formulation
10.2 Main results
10.2.1 Disturbance observer design
10.2.2 Sliding mode controller design
10.3 Numerical example
10.4 Conclusions
References