This book provides robust analysis and synthesis tools for Markovian jump systems in the finite-time domain with specified performances. It explores how these tools can make the systems more applicable to fields such as economic systems, ecological systems and solar thermal central receivers, by limiting system trajectories in the desired bound in a given time interval.
Robust Control for Discrete-Time Markovian Jump Systems in the Finite-Time Domain focuses on multiple aspects of finite-time stability and control, including:
- finite-time H-infinity control;
- finite-time sliding mode control;
- finite-time multi-frequency control;
- finite-time model predictive control; and
- high-order moment finite-time control for multi-mode systems
and also provides many methods and algorithms to solve problems related to Markovian jump systems with simulation examples that illustrate the design procedure and confirm the results of the methods proposed.
The thorough discussion of these topics makes the book a useful guide for researchers, industrial engineers and graduate students alike, enabling them systematically to establish the modeling, analysis and synthesis for Markovian jump systems in the finite-time domain.
Author(s): Xiaoli Luan, Shuping He, Fei Liu
Series: Lecture Notes in Control and Information Sciences, 492
Publisher: Springer
Year: 2023
Language: English
Pages: 211
City: Cham
Preface
Acknowledgements
Contents
1 Introduction
1.1 Markovian Jump Systems (MJSs)
1.1.1 Nonlinear MJSs
1.1.2 Switching MJSs
1.1.3 Non-homogenous MJSs
1.2 Finite-Time Stability and Control
1.2.1 FTS for Deterministic Systems
1.2.2 FTS for Stochastic MJSs
1.3 Outline
References
2 Finite-Time Stability and Stabilization for Discrete-Time Markovian Jump Systems
2.1 Introduction
2.2 Preliminaries and Problem Formulation
2.3 Stochastic Finite-Time Stabilization for Linear MJSs
2.4 Stochastic Finite-Time Stabilization for Nonlinear MJSs
2.5 Simulation Analysis
2.6 Conclusion
References
3 Finite-Time Stability and Stabilization for Switching Markovian Jump Systems
3.1 Introduction
3.2 Preliminaries and Problem Formulation
3.3 Stochastic Finite-Time Hinfty Control
3.4 Observer-Based Finite-Time Hinfty Control
3.5 Simulation Analysis
3.6 Conclusion
References
4 Finite-Time Stability and Stabilization for Non-homegeneous Markovian Jump Systems
4.1 Introduction
4.2 Preliminaries and Problem Formulation
4.3 Stochastic Finite-Time Stabilization
4.4 Stochastic Finite-Time Hinfty Control
4.5 Observer-Based Finite-Time Control
4.6 Simulation Analysis
4.7 Conclusion
References
5 Asynchronous Finite-Time Passive Control for Discrete-Time Markovian Jump Systems
5.1 Introduction
5.2 Finite-Time Passive Control
5.3 Asynchronous Finite-Time Passive Control
5.4 Simulation Analysis
5.5 Conclusions
References
6 Finite-Time Sliding Mode Control for Discrete-Time Markovian Jump Systems
6.1 Introduction
6.2 Finite-Time Sliding Mode Control
6.3 Asynchronous Finite-Time Sliding Mode Control
6.4 Simulation Analysis
6.5 Conclusion
References
7 Finite-Frequency Control with Finite-Time Performance for Markovian Jump Systems
7.1 Introduction
7.2 Finite-Time Stabilization with Finite-Frequency Performance
7.3 Finite-Time Multiple-Frequency Control Based on Derandomization
7.4 Simulation Analysis
7.5 Conclusion
References
8 Stochastic Finite-Time Consensualization for Markovian Jump Networks with Disturbances
8.1 Introduction
8.2 Preliminaries and Problem Formulation
8.3 Finite-Time Consensualization with State Feedback
8.4 Finite-Time Consensualization with Output Feedback
8.5 Simulation Analysis
8.6 Conclusion
References
9 Higher-Order Moment Finite-Time Stabilization for Discrete-Time Markovian Jump Systems
9.1 Introduction
9.2 Preliminaries and Problem Formulation
9.3 Higher-Order Moment Stabilization in the Finite-Time Domain
9.4 Higher-Order Moment Finite-Time Stabilization with Finite-Frequency Performance
9.5 Simulation Analysis
9.6 Conclusion
References
10 Model Predictive Control for Markovian Jump Systems in the Finite-Time Domain
10.1 Introduction
10.2 Stochastic Finite-Time MPC for MJSs
10.3 Stochastic Finite-Time MPC for Semi-MJSs
10.4 Simulation Analysis
10.5 Conclusion
References
11 Conclusion
Index
