Protocol-Based Sliding Mode Control: 1D and 2D System Cases

✍ Scribed by Jun Song, Zidong Wang, Yugang Niu

• Publisher: CRC Press
• Year: 2022
• Tongue: English
• Leaves: 299
• Category: Library

✦ Synopsis

This book discusses the Sliding Mode Control (SMC) problems of networked control systems (NCSs) under various communication protocols including static/dynamic/periodic event-triggered mechanism, and stochastic communication, Round-Robin, weighted try-once-discard, multiple-packet transmission, and the redundant channel transmission protocol. The super-twisting algorithm and the extended-state-observer-based SMC scheme are described in this book for suppressing chattering. Besides, the SMC designs for two-dimensional (1-D) and two-dimensional (2-D) NCSs are illustrated as well.

Features:

• Captures recent advances of theories, techniques, and applications of networked sliding mode control from an engineering-oriented perspective.

• Includes new design ideas and optimization techniques of networked sliding mode control theory.

• Provides advanced tools to apply networked sliding mode control techniques in the practical applications.

• Discusses some new tools to the engineering applications while dealing with the model uncertainties and external disturbances.

This book aims at Researchers and professionals in Control Systems, Computer Networks, Internet of Things, and Communication Systems.

✦ Table of Contents

Cover
Half Title
Title Page
Copyright Page
Dedication
Contents
List of Figures
List of Tables
Preface
Author's Biography
Acknowledgments
Symbols
1. Introduction
1.1. Sliding Mode Control
1.2. Network Communication Protocols
1.3. Outline
PART I: 1-D System Case
2. H∞ Sliding Mode Control Under Stochastic Communication Protocol
2.1. Problem Formulation
2.2. Main Results
2.2.1. Analysis of reachability
2.2.2. Analysis of stochastic stability with H∞ performance
2.2.3. Solving algorithm
2.3. Example
2.4. Conclusion
3. Static Output-Feedback Sliding Mode Control Under Round-Robin
3.1. Problem Formulation
3.2. Main Results
3.2.1. Token-dependent static output-feedback SMC law
3.2.2. Analysis of the asymptotic stability
3.2.3. Analysis of the reachability
3.2.4. Solving algorithm
3.3. Example
3.4. Conclusion
4. Observer-Based Sliding Mode Control Under Weighted Try-Once-Discard Protocol
4.1. Problem Formulation
4.2. Main Results
4.2.1. Token-dependent state-saturated observer
4.2.2. Token-dependent sliding mode controller
4.2.3. Analysis of the asymptotic stability
4.2.4. Analysis of the reachability
4.2.5. Solving algorithm
4.3. Example
4.4. Conclusion
5. Asynchronous Sliding Mode Control Under Static Event-Triggered Protocol
5.1. Problem Formulation
5.2. Main Results
5.2.1. Designing of sliding surface and sliding mode controller
5.2.2. Analysis of sliding mode dynamics
5.2.3. Analysis of reachability
5.2.4. Synthesis of SMC law
5.2.5. Solving algorithm
5.3. Example
5.4. Conclusion
6. Sliding Mode Control Under Dynamic Event-Triggered Protocol
6.1. Problem Formulation
6.2. Main Results
6.2.1. A novel sliding surface
6.2.2. Dynamic event-triggered SMC law
6.2.3. The reachability of sliding surface
6.2.4. The stability of sliding mode dynamics
6.2.5. Further discussions
6.2.5.1. Special case: Static event-triggered SMC of slow-sampling SPSs
6.2.5.2. Convergence of the quasi-sliding motion
6.2.6. Solving algorithm
6.3. Example
6.4. Conclusion
7. Reliable Sliding Mode Control Under Redundant Channel Transmission Protocol
7.1. Problem Formulation
7.2. Main Results
7.2.1. Sliding function and sliding mode controller
7.2.2. MSEUB of closed-loop system
7.2.3. The reachability of sliding surface
7.2.4. Solving algorithm
7.3. Example
7.4. Conclusion
8. State-Saturated Sliding Mode Control Under Multiple-Packet Transmission Protocol
8.1. Problem Formulation
8.2. Main Results
8.2.1. Sliding function and sliding mode controller
8.2.2. Analysis of sliding mode dynamics
8.2.3. Analysis of reachability
8.2.4. Synthesis of SMC law
8.2.5. Solving algorithm
8.3. Example
8.4. Conclusion
9. ESO-Based Terminal Sliding Mode Control Under Periodic Event-Triggered Protocol
9.1. Problem Formulation
9.2. Main Results
9.2.1. The design of ESO
9.2.2. Design of periodic event-triggered TSMC based on ESO
9.2.3. Estimation of actual bound for ||e(t)||
9.2.4. Selection criterion for periodic sampling period λ
9.2.5. Reachability and stability
9.2.6. Solving algorithm
9.3. Simulation and Experiment
9.3.1. Simulation
9.3.2. Experiment
9.4. Conclusion
PART II: 2-D System Case
10. 2-D Sliding Mode Control Under Event-Triggered Protocol
10.1. Problem Formulation
10.2. Main Results
10.2.1. 2-D sliding surface
10.2.2. Design of 2-D event generator
10.2.3. Stability of sliding mode dynamics
10.2.4. Solving algorithm
10.3. Example
10.4. Conclusion
11. 2-D Sliding Mode Control Under Round-Robin Protocol
11.1. Problem Formulation
11.2. Main Results
11.2.1. A novel 2-D common sliding function
11.2.2. First-order sliding mode case
11.2.3. Second-order sliding mode case
11.3. Solving Algorithms and Examples
11.3.1. Solving algorithms
11.3.2. Example 1: 2-D SMC without Round-Robin protocol
11.3.3. Example 2: 2-D SMC with Round-Robin protocol
11.4. Conclusion
12. Conclusions and Future Topics
12.1. Conclusions
12.2. Future Topics
Bibliography
Index