Nonrecursive Control Design for Nonlinear Systems

Nonrecursive Control Design for Nonlinear Systems

by Chuanlin Zhang, Jun Yang
Released June 2023
Publisher(s): CRC Press
ISBN: 9781000892475

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Book description

Based on authors’ recent advances, this book focuses on a class of nonlinear systems with mismatched uncertainties/disturbances and discusses their typical control problems. It aims to provide a comprehensive view of the non-recursive control theory and application guidelines.

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Title Page
  4. Copyright Page
  5. Dedication Page
  6. Contents
  7. List of Figures
  8. List of Tables
  9. Preface
  10. About the Authors
  11. Acknowledgments
  12. Symbol Description
  13. 1 Introduction
    1. 1.1 Overview of Nonlinear System Control
    2. 1.2 Overview of Nonrecursive Control Design for Nonlinear Systems
    3. 1.3 Preliminaries
      1. 1.3.1 Introduction of nonsmooth control
      2. 1.3.2 Definitions and useful lemmas
  14. 2 Nonrecursive Robust Stabilization for Uncertain Nonlinear Systems
    1. 2.1 Problem Formulation
    2. 2.2 Motivation—A Linear Case Study
    3. 2.3 Nonrecursive Robust Stabilization—A Unified Framework
      1. 2.3.1 Global unified nonrecursive control design framework
      2. 2.3.2 Extension to non-triangular systems
      3. 2.3.3 Numerical simulation
  15. 3 Practically Oriented Finite-Time Tracking Control for Nonlinear Systems
    1. 3.1 Practically Oriented Finite-Time Control via State Feedback
      1. 3.1.1 Problem formulation
      2. 3.1.2 One-step controller construction
      3. 3.1.3 Semi-global stability analysis
    2. 3.2 Practically Oriented Finite-Time Control via Output Feedback
      1. 3.2.1 Global finite-time output feedback control
        1. 3.2.1.1 Change of coordinates
        2. 3.2.1.2 Nonsmooth observer design
        3. 3.2.1.3 Output feedback controller construction
        4. 3.2.1.4 Explicit global stability analysis
      2. 3.2.2 Semi-global finite-time output feedback control
        1. 3.2.2.1 Saturated observer design
        2. 3.2.2.2 Saturated dynamic control law design
        3. 3.2.2.3 Explicit semi-global stability analysis
        4. 3.2.2.4 Extension to practical tracking control
        5. 3.2.2.5 Numerical simulations
  16. 4 Nonrecursive Adaptive Control for Nonlinear Systems with Non-Parametrized Uncertainties
    1. 4.1 Nonrecursive ℂ1 Adaptive Control Design
      1. 4.1.1 Problem formulation
      2. 4.1.2 System pre-treatment
      3. 4.1.3 Stabilizing control law construction
      4. 4.1.4 Explicit stability analysis
      5. 4.1.5 Extension to a linear control case
      6. 4.1.6 Extension to non-triangular nonlinear systems
    2. 4.2 Nonrecursive ℂ0 Adaptive Stabilization via State Feedback
      1. 4.2.1 Problem formulation
      2. 4.2.2 Parameter configuration
      3. 4.2.3 Change of coordinates
      4. 4.2.4 Nonsmooth control law construction
      5. 4.2.5 Stability analysis
      6. 4.2.6 An illustrative example
    3. 4.3 Nonrecursive ℂ0 Adaptive Stabilization via Output Feedback
      1. 4.3.1 Parameter configuration
      2. 4.3.2 Controller construction
      3. 4.3.3 Stability analysis
      4. 4.3.4 Numerical simulation
  17. 5 Nonrecursive Robust Output Regulation for Nonlinear Systems with Mismatched Disturbances
    1. 5.1 Problem Formulation
    2. 5.2 Disturbance Observer Design
      1. 5.2.1 A nonrecursive finite-time disturbance observer design
      2. 5.2.2 A practical nonrecursive disturbance observer
      3. 5.2.3 Higher-order sliding mode observer design
    3. 5.3 Robust Output Regulation—A Linear Case Study
      1. 5.3.1 System pre-treatment
      2. 5.3.2 Composite output regulation law design
      3. 5.3.3 Stability analysis
      4. 5.3.4 An illustrative example
    4. 5.4 Nonrecursive ℂ0 Robust Output Regulation
      1. 5.4.1 Controller construction
      2. 5.4.2 Stability analysis
      3. 5.4.3 Extensions
      4. 5.4.4 Illustrative examples and numerical simulations
  18. 6 Nonrecursive Adaptive Output Regulation for Nonlinear Systems with Mismatched Disturbances
    1. 6.1 Linear Nonrecursive Adaptive Output Regulation
      1. 6.1.1 System pre-treatment
      2. 6.1.2 Controller construction
      3. 6.1.3 Stability analysis
      4. 6.1.4 Numerical simulations
    2. 6.2 Nonrecursive ℂ0 Adaptive Output Regulation
      1. 6.2.1 Problem formulation
      2. 6.2.2 Disturbance reconstruction
      3. 6.2.3 Coordinates transformation
      4. 6.2.4 Nonsmooth dynamic tracking control law design
      5. 6.2.5 Stability analysis
      6. 6.2.6 An illustrative example and numerical simulations
  19. 7 Application to Permanent Magnet Synchronous Motor Systems
    1. 7.1 Introduction
    2. 7.2 Modeling of PMSM
    3. 7.3 Nonsmooth Robust Control for Speed Regulation of PMSM Systems
      1. 7.3.1 Controller design
      2. 7.3.2 Simulation studies
      3. 7.3.3 Experimental tests
    4. 7.4 Adaptive Control for Speed Regulation of PMSM Systems
      1. 7.4.1 Linear adaptive composite control
        1. 7.4.1.1 Controller design
        2. 7.4.1.2 Experimental tests
      2. 7.4.2 Nonsmooth adaptive composite control
        1. 7.4.2.1 Controller design
        2. 7.4.2.2 Simulation studies
        3. 7.4.2.3 Experimental tests
  20. 8 Application to Series Elastic Actuator Systems
    1. 8.1 Introduction
    2. 8.2 Modeling of SEAs
      1. 8.2.1 Parameters in experimental setup
    3. 8.3 Practically Oriented Finite-Time Control for SEA
      1. 8.3.1 Controller design
      2. 8.3.2 Experimental studies
    4. 8.4 Nonsmooth Composite Control for SEA
      1. 8.4.1 Controller design
      2. 8.4.2 Experimental studies
  21. 9 Applications to DC Microgrid Systems
    1. 9.1 Introduction of DC Microgrids
    2. 9.2 A Decentralized Composite Controller Design for DC Microgrids
      1. 9.2.1 Standardized modeling of DC microgrids
      2. 9.2.2 Decentralized composite controller design
      3. 9.2.3 Experimental tests
      4. 9.2.4 Extension to other types of converters
    3. 9.3 Finite-Time Performance Recovery and Decentralized Control for DC Microgrids
      1. 9.3.1 Large-signal modeling process
      2. 9.3.2 Composite controller construction
      3. 9.3.3 Simulation studies
      4. 9.3.4 Experimental verification
    4. 9.4 Decentralized Adaptive Controller Design
      1. 9.4.1 Pre-treatment and system modeling
      2. 9.4.2 Decentralized adaptive controller design
      3. 9.4.3 Simulation studies
      4. 9.4.4 Experimental tests
    5. 9.5 Nonsmooth Control Design for Multi-Bus DC Microgrids
      1. 9.5.1 Controller design
      2. 9.5.2 Discussions
      3. 9.5.3 Simulation studies
      4. 9.5.4 Experimental tests
    6. 9.6 Nonsmooth Adaptive Controller Design for DC Microgrids
      1. 9.6.1 Controller design
      2. 9.6.2 Experimental tests
  22. References

Product information

  • Title: Nonrecursive Control Design for Nonlinear Systems
  • Author(s): Chuanlin Zhang, Jun Yang
  • Release date: June 2023
  • Publisher(s): CRC Press
  • ISBN: 9781000892475