Fault-Tolerant Control for Time-Varying Delayed T-S Fuzzy Systems

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This book delves into the complexities of fault estimation and fault-tolerant control for nonlinear time-delayed systems. Through the use of multiple-integral observers, it addresses fault estimation and active fault-tolerant control for time-delayed fuzzy systems with actuator faults and both actuator and sensor faults. Additionally, the book explores the use of sliding mode control to solve issues of sensor fault estimation, intermittent actuator fault estimation, and active fault-tolerant control for time-delayed switched fuzzy systems. Furthermore, it presents the use of H∞ guaranteed cost control for both time-delayed switched fuzzy systems and time-delayed switched fuzzy stochastic systems with intermittent actuator and sensor faults. Finally, the problem of delay-dependent finite-time fault-tolerant control for uncertain switched T-S fuzzy systems with multiple time-varying delays, intermittent process faults and intermittent sensor faults is studied. The research on fault estimation and tolerant control has drawn attention from engineers and scientists in various fields such as electrical, mechanical, aerospace, chemical, and nuclear engineering. The book provides a comprehensive framework for this topic, placing a strong emphasis on the importance of stability analysis and the impact of result conservatism on the design and implementation of observers and controllers. It is intended for undergraduate and graduate students interested in fault diagnosis and tolerant control technology, researchers studying time-varying delayed T-S fuzzy systems, and observer/controller design engineers working on system stability applications.

Author(s): Shaoxin Sun, Huaguang Zhang, Xiaojie Su, Jinyu Zhu
Series: Intelligent Control and Learning Systems, 9
Publisher: Springer
Year: 2023

Language: English
Pages: 229
City: Singapore

Preface
Acknowledgements
Contents
1 Introduction
1.1 Problem Background
1.2 Overview of the Stability of Fuzzy Systems with Time Delays
1.3 Overview of Fault Estimation
1.4 Overview of Fault-Tolerant Control
1.4.1 Active Fault-Tolerant Control
1.4.2 Passive Fault-Tolerant Control
1.5 Preparatory Knowledge
1.5.1 Symbol Description
1.5.2 Several Lemmas
1.6 Publication Outline
References
2 Fault Estimation and Tolerant Control for Time-Varying Delayed Fuzzy Systems with Actuator Faults
2.1 Introduction
2.2 System Definition and Description
2.3 A New k-Step Induction Actuator Fault Estimation Method
2.4 Controller Design
2.5 Simulation Results
2.6 Chapter Summary
References
3 Fault Estimation and Tolerant Control for Multiple Time Delayed Fuzzy Systems with Sensor and Actuator Faults
3.1 Introduction
3.2 System Definition and Description
3.3 Observer Design
3.3.1 State Augmentation
3.3.2 Observer Design Based on a k-Step Induction Fault Estimation Method
3.4 Design of Nonlinear Dynamic Output Feedback Fault-Tolerant Controller
3.5 Simulation Results
3.6 Chapter Summary
References
4 Fault Estimation and Tolerant Control for Multiple Time Delayed Switched Fuzzy Stochastic Systems with Sensor Faults and Intermittent Actuator Faults
4.1 Introduction
4.2 System Definition and Description
4.3 Design of Sliding Mode Observer
4.3.1 Design of the Derivative Gain barLjd
4.3.2 Design of the Proportional Gain barLpij
4.4 System Stability Analysis
4.5 Sliding Motion Reachability Control
4.6 Finite-Time Boundedness
4.6.1 Reachability of T*leqT
4.6.2 Finite-Time Boundedness Over Reaching Phase Within [0,T*]
4.6.3 Finite-Time Boundedness Over Sliding Motion Phase Within [T*,T]
4.7 Simulation Results
4.8 Chapter Summary
References
5 Fault-Tolerant Control for Multiple Interval Time Delayed Switched Fuzzy Systems with Intermittent Faults
5.1 Introduction
5.2 System Definition and Description
5.3 Controller Design
5.4 Stability Analysis
5.5 Simulation Results
5.6 Chapter Summary
References
6 Fault-Tolerant Control for Multiple-Delayed Switched Fuzzy Stochastic Systems with Intermittent Faults
6.1 Introduction
6.2 System Definition and Description
6.3 Design of Dynamic Output Feedback Controller
6.4 Stability Analysis
6.5 Simulation Results
6.6 Chapter Summary
References
7 Finite-Time Fault-Tolerant Control for Multiple-Delayed Switched Fuzzy Systems with Intermittent Faults
7.1 Introduction
7.2 System Definition and Description
7.3 Controller Design
7.4 Stability Analysis
7.5 Simulation Results
7.6 Chapter Summary
References
8 Conclusion and Prospects
Reference