Modern Anti-windup Synthesis ：Control Augmentation for Actuator Saturation ( Princeton Series in Applied Mathematics )

Publication subTitle ：Control Augmentation for Actuator Saturation

Publication series ：Princeton Series in Applied Mathematics

Author： Zaccarian Luca;Teel Andrew R.

Publisher： Princeton University Press‎

Publication year： 2011

E-ISBN: 9781400839025

P-ISBN(Paperback): 9780691147321

Subject： TP273 自动控制、自动控制系统

Keyword：一般工业技术,数理科学和化学

Language： ENG

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Description

This book provides a wide variety of state-space--based numerical algorithms for the synthesis of feedback algorithms for linear systems with input saturation. Specifically, it addresses and solves the anti-windup problem, presenting the objectives and terminology of the problem, the mathematical tools behind anti-windup algorithms, and more than twenty algorithms for anti-windup synthesis, illustrated with examples. Luca Zaccarian and Andrew Teel's modern method--combining a state-space approach with algorithms generated by solving linear matrix inequalities--treats MIMO and SISO systems with equal ease. The book, aimed at control engineers as well as graduate students, ranges from very simple anti-windup construction to sophisticated anti-windup algorithms for nonlinear systems.

Describes the fundamental objectives and principles behind anti-windup synthesis for control systems with actuator saturation
Takes a modern, state-space approach to synthesis that applies to both SISO and MIMO systems
Presents algorithms as linear matrix inequalities that can be readily solved with widely available software
Explains mathematical concepts that motivate synthesis algorithms
Uses nonlinear performance curves to quantify performance relative to disturbances of varying magnitudes
Includes anti-windup algorithms for a class of Euler-Lagrange

Chapter

1. The Windup Phenomenon and Anti-windup Illustrated

1.1 Introduction

1.2 Illustrative examples

1.3 Summary

1.4 Notes and references

2. Anti-windup: Definitions, and Architectures

2.1 Preliminaries

2.2 Qualitative objectives

2.3 Anti-windup augmentation

2.4 Quantitative performance objectives

2.5 Notes and references

3. Analysis and Synthesis of Feedback Systems: Quadratic Functions and LMIS

3.1 Introduction

3.2 Unconstrained feedback systems

3.3 Linear matrix inequalities

3.4 Constrained feedback systems: global analysis

3.5 Constrained feedback systems: regional analysis

3.6 Analysis examples

3.7 Regional synthesis for external stability

3.8 Notes and references

PART 2. DIRECT LINEAR ANTI-WINDUP AUGMENTATION

4. Static Linear Anti-windup Augmentation

4.1 Overview

4.2 Key state-space representations

4.3 Algorithms providing global guarantees

4.4 Algorithms providing regional guarantees

4.5 Notes and references

5. Dynamic Linear Anti-windup Augmentation

5.1 Overview

5.2 Key state-space representations

5.3 Factoring rank-deficient matrices

5.4 Algorithms providing global guarantees

5.5 Algorithms providing regional guarantees

5.6 Notes and references

PART 3. MODEL RECOVERY ANTI-WINDUP AUGMENTATION

6. The MRAW Framework

6.1 Introduction

6.2 A block diagram/transfer function description

6.3 A state-space description (linearity not needed)

6.4 Robust, fragile, or both?

6.5 Notes and references

7. Linear MRAW Synthesis

7.1 Introduction

7.2 Global stability-based algorithms

7.3 Regional stability and performance algorithms

7.4 Notes and references

8. Nonlinear MRAW Synthesis

8.1 Introduction

8.2 Switching and scheduling linear controllers

8.3 Model predictive control for anti-windup design

8.4 Global designs for non-exponentially unstable plants

8.5 Designs for exponentially unstable plants that maximize the basin of attraction

8.6 Notes and references

9. The MRAW Structure Applied to Other Problems

9.1 Rate- and magnitude-saturated plants

9.2 Anti-windup for dead-time plants

9.3 Bumpless transfer in multicontroller schemes

9.4 Reliable control via hardware redundancy

9.5 Notes and references

10. Anti-windup for Euler-Lagrange Plants

10.1 Fully actuated Euler-Lagrange plants

10.2 Anti-windup construction and selection of the stabilizer v

10.3 Simulation examples

10.4 Notes and references

11. Annotated Bibliography

11.1 Overview

11.2 Problem discovery

11.3 The first constructive techniques

11.4 Call for systematization

11.5 Modern anti-windup schemes

11.6 Additional references

Index

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