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

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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.

    Author(s): Jun Song, Zidong Wang, Yugang Niu
    Publisher: CRC Press
    Year: 2022

    Language: English
    Pages: 298
    City: Boca Raton

    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