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by Xiaojie Su, Peng Shi, Ligang Wu
Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems
Series Preface
Preface
Acknowledgments
Abbreviations and Notations
Abbreviations
Notations
Chapter 1: Introduction
1.1 Sliding Mode Control
1.2 Uncertain Parameter-Switching Hybrid Systems
1.3 Contribution of the Book
1.4 Outline of the Book
Part One: SMC of Markovian Jump Singular Systems
Chapter 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
2.5 Illustrative Example
2.6 Conclusion
Chapter 3: Optimal SMC of Markovian Jump Singular Systems with Time Delay
3.1 Introduction
3.2 System Description and Preliminaries
3.3 Bounded Gain Performance Analysis
3.4 Main Results
3.5 Illustrative Example
3.6 Conclusion
Chapter 4: SMC of Markovian Jump Singular Systems with Stochastic Perturbation
4.1 Introduction
4.2 System Description and Preliminaries
4.3 Integral SMC
4.4 Optimal Integral SMC
4.5 Illustrative Example
4.6 Conclusion
Part Two: SMC of Switched State-Delayed Hybrid Systems
Chapter 5: Stability and Stabilization of Switched State-Delayed Hybrid Systems
5.1 Introduction
5.2 Continuous-Time Systems
5.3 Discrete-Time Systems
5.4 Conclusion
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Index
Admissible
Adaptive law
Arbitrary switching
Asymptotically stable
Asymptotic stability
Asynchronous switching
Average dwell time
Autonomous system
Balanced truncation
Boundary layer
Bounded L
2
gain performance
Brownian motion
Brownian path
CCL
Chattering
Chattering elimination
Closed-loop system
Common quadratic Lyapunov function
Cone complementary linearization
Congruence transformation
Continuous-time
Control input
Controlled output
Controllable
Controllability
CQLF
Delay-dependent
Delay-independent
Delay partitioning
Discontinuous control
Descriptor system
Discrete-time
Discretization
Dissipative
Dissipativity
Dissipativity-based SMC
Disturbance attenuation
Disturbances
DOF
Dwell time
Dynamic output feedback
Eigenvalue allocation
Equivalent control
Estimation
Exponentially stable
Fault detection
Fault-tolerant control
Feedback control
Feedback gain
Filter
Filtering
Finite time
Full column rank
Full-order
Guaranteed cost
H
∞
control
H
∞
filtering
H
∞
performance
H
2
filtering
Hankel-norm
High-order
Incompletely modeled
Initial condition
Impulse free
Input-output method
Integral SMC
Integral sliding surface
Integral switching function
Kalman filter
Krylov projection
L
2
-
L
∞
L
2
-
L
∞
control
L
2
-
L
∞
filtering
Less conservativeness
Linear-quadratic regulator
Linear sliding surface
Linear switching function
Linear time-invariant
Linearizing variable transforms
LMIs
LMI Toolbox
LTI
Lyapunov approach
Lyapunov function
Lyapunov-like function
Markov chain
Markov process
Markovian jump linear systems
Markovian jump singular systems
Markovian jump singular time-delay systems
Markovian jump systems
Matlab
Matching condition
Matrix equality constraints
Matrix inequality
Mean-square exponential stability
MIMO
Minimization problem
Mismatched
Mixed H2/H∞
MJLS
MLF
Mode-dependent
Model reduction
Model transformation
Multiple-input multiple-output
Multiple Lyapunov functions
Necessary and sufficient
Neutral delay
Nonconvex
Nonlinear systems
Nonlinearities
Nonsingular
Norm-bounded
Observability
Observer
Observer-based SMC
Optimal control
Optimal performance
Output feedback
Padé reduction
Parameter-switching
Parameter-switching hybrid systems
Parameter-switching systems
Parametrization
Passivity
Performance analysis
Piecewise Lyapunov function
Positive definite
Positive realness
Reachability
Reaching condition
Reaching law
Reaching motion
Reaching phase
Reduced-order
Regular form
Robust control
Robust filtering
Robustness
Saturation
Schur complement
Single-input single-output
Singular matrix
Singular systems
SISO
Slack matrix approach
Sliding mode
Sliding mode control
Sliding mode controller
Sliding mode dynamics
Sliding mode observer
Sliding surface
SMC
SMC law
SOF
Solvability conditions
SQLF
Stability analysis
Stability condition
Stabilizable
Stabilization
State estimation
State feedback
State feedback control
State trajectories
Static output feedback
Stochastic admissibility
Stochastic perturbation
Stochastic stability
Stochastic stabilizability
Stochastic systems
Stochastically admissible
Stochastically stable
Strict LMI
Subsystems
Sufficient condition
Supply rate
Switched delayed hybrid systems
Switched quadratic Lyapunov functions
Switched hybrid systems
Switched state-delayed hybrid systems
Switched stochastic hybrid systems
Switched stochastic systems
Switching function
Switching rule
Switching signal
Symmetric
Synthesis
System state
Terminal sliding surface
Terminal SMC
Terminal switching function
Time-delay
Time-delay systems
Time-varying
Time-varying delay
Tracking control
Transient performance
Transition probability
Two-dimensional
Uncertain parameter-switching hybrid systems
Uncertain systems
Uncertain transition probabilities
Uncertainties
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