Tensor Product Model Transformation in Polytopic Model-Based Control

Book description

This reference describes a novel method in multi-objective control system design with examples drawn from aerospace engineering and a free MATLAB® toolbox for easy implementation. It unites two well-known areas of multi-objective control system design—quasi Linear Parameter Varying (LPV) models and the Linear Matrix Inequality (LMI) method. The book introduces a methodology to automatically generate from any given quasi LPV model a set of invariant, canonical, and convex poly topic representations that are readily executable for LMI-based system control design.

Table of contents

  1. Front Cover (1/2)
  2. Front Cover (2/2)
  3. Contents
  4. Preface
  5. Acronyms and Abbreviations
  6. Chapter 1: Introduction (1/2)
  7. Chapter 1: Introduction (2/2)
  8. Part I: Tensor Product (TP) Model Formulation
    1. Chapter 2: TP Model (1/2)
    2. Chapter 2: TP Model (2/2)
    3. Chapter 3: TP Model Transformation (1/3)
    4. Chapter 3: TP Model Transformation (2/3)
    5. Chapter 3: TP Model Transformation (3/3)
    6. Chapter 4: TP Canonical Model Form (1/4)
    7. Chapter 4: TP Canonical Model Form (2/4)
    8. Chapter 4: TP Canonical Model Form (3/4)
    9. Chapter 4: TP Canonical Model Form (4/4)
    10. Chapter 5: Approximation and Complexity Trade-Off (1/3)
    11. Chapter 5: Approximation and Complexity Trade-Off (2/3)
    12. Chapter 5: Approximation and Complexity Trade-Off (3/3)
    13. Chapter 6: TP Model Convexity Incorporation (1/4)
    14. Chapter 6: TP Model Convexity Incorporation (2/4)
    15. Chapter 6: TP Model Convexity Incorporation (3/4)
    16. Chapter 6: TP Model Convexity Incorporation (4/4)
    17. Chapter 7: Introduction to the TPtool Toolbox (1/2)
    18. Chapter 7: Introduction to the TPtool Toolbox (2/2)
    19. Chapter 8: Centralized Model Form (1/2)
    20. Chapter 8: Centralized Model Form (2/2)
    21. Chapter 9: Computational Relaxed TP Model Transformation (1/4)
    22. Chapter 9: Computational Relaxed TP Model Transformation (2/4)
    23. Chapter 9: Computational Relaxed TP Model Transformation (3/4)
    24. Chapter 9: Computational Relaxed TP Model Transformation (4/4)
  9. Part II: TP Model-Based Control System Design
    1. Chapter 10: Overview of TP Model-Based Design Strategy (1/2)
    2. Chapter 10: Overview of TP Model-Based Design Strategy (2/2)
    3. Chapter 11: LMI Theorems under the PDC Framework (1/5)
    4. Chapter 11: LMI Theorems under the PDC Framework (2/5)
    5. Chapter 11: LMI Theorems under the PDC Framework (3/5)
    6. Chapter 11: LMI Theorems under the PDC Framework (4/5)
    7. Chapter 11: LMI Theorems under the PDC Framework (5/5)
    8. Chapter 12: Convex Hull Manipulation (1/2)
    9. Chapter 12: Convex Hull Manipulation (2/2)
  10. Part III: Control Design Examples
    1. Chapter 13: Control Design with TPtool Toolbox
    2. Chapter 14: 2-D Prototypical Aeroelastic Wing Section with Structural Nonlinearity (1/5)
    3. Chapter 14: 2-D Prototypical Aeroelastic Wing Section with Structural Nonlinearity (2/5)
    4. Chapter 14: 2-D Prototypical Aeroelastic Wing Section with Structural Nonlinearity (3/5)
    5. Chapter 14: 2-D Prototypical Aeroelastic Wing Section with Structural Nonlinearity (4/5)
    6. Chapter 14: 2-D Prototypical Aeroelastic Wing Section with Structural Nonlinearity (5/5)
    7. Chapter 15: 3-D Prototypical Aeroelastic Wing Section with Structural Nonlinearity (1/3)
    8. Chapter 15: 3-D Prototypical Aeroelastic Wing Section with Structural Nonlinearity (2/3)
    9. Chapter 15: 3-D Prototypical Aeroelastic Wing Section with Structural Nonlinearity (3/3)
    10. Chapter 16: 3-DoF Helicopter with Four Propellers (1/3)
    11. Chapter 16: 3-DoF Helicopter with Four Propellers (2/3)
    12. Chapter 16: 3-DoF Helicopter with Four Propellers (3/3)
    13. Chapter 17: Heavy Vehicle Rollover Prevention Problem (1/2)
    14. Chapter 17: Heavy Vehicle Rollover Prevention Problem (2/2)
  11. References (1/3)
  12. References (2/3)
  13. References (3/3)

Product information

  • Title: Tensor Product Model Transformation in Polytopic Model-Based Control
  • Author(s): Péter Baranyi, Yeung Yam, Péter Várlaki
  • Release date: September 2018
  • Publisher(s): CRC Press
  • ISBN: 9781439818176