Linear Systems: Non-Fragile Control and Filtering, 1st Edition (Paperback) book cover

Linear Systems

Non-Fragile Control and Filtering, 1st Edition

By Guang-Hong Yang, Xiang-Gui Guo, Wei-Wei Che, Wei Guan

CRC Press

288 pages | 31 B/W Illus.

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Description

Linear Systems: Non-Fragile Control and Filtering presents the latest research results and a systematic approach to designing non-fragile controllers and filters for linear systems. The authors combine the algebraic Riccati technique, the linear matrix inequality (LMI) technique, and the sensitivity analysis method to establish a set of new non-fragile (insensitive) control methods. This proposed method can optimize the closed-loop system performance and make the designed controllers or filters tolerant of coefficient variations in controller or filter gain matrices.

A Systematic Approach to Designing Non-Fragile Controllers and Filters for Linear Systems

The text begins with developments and main research methods in non-fragile control. It then systematically presents novel methods for non-fragile control and filtering of linear systems with respect to additive/multiplicative controller/filter gain uncertainties. The book introduces the algebraic Riccati equation technique to solve additive/multiplicative norm-bounded controller/filter gain uncertainty, and proposes a structured vertex separator to deal with the numerical problem resulting from interval-bounded coefficient variations. It also explains how to design insensitive controllers and filters in the framework of coefficient sensitivity theory. Throughout, the book includes numerical examples to demonstrate the effectiveness of the proposed design methods.

More Effective Design Methods for Non-Fragile Controllers and Filters

The design and analysis tools described will help readers to better understand and analyze parameter uncertainties and to design more effective non-fragile controllers and filters. Providing a coherent approach, this book is a valuable reference for researchers, graduate students, and anyone who wants to explore the area of non-fragile control and filtering.

Table of Contents

Introduction

Preliminaries

Delta Operator Definition

H∞ Performance Index

Operations on Systems

Some Other Definitions and Lemmas

Non-Fragile State Feedback Control with Norm-Bounded Gain Uncertainty

Introduction

Problem Statement

Non-Fragile Guaranteed Cost Controller Design

Example

Conclusion

Non-Fragile Dynamic Output Feedback Control with Norm-Bounded Gain Uncertainty

Introduction

Problem Statement

Non-Fragile H∞ Dynamic Output Feedback Controller Design

Example

Conclusion

Robust Non-Fragile Kalman Filtering with Norm-Bounded Gain Uncertainty

Introduction

Problem Statement

Robust Non-Fragile Filter Design

Example

Conclusion

Non-Fragile Output Feedback Control with Interval-Bounded Coefficient Variations

Introduction

Non-Fragile H∞ Controller Design for Discrete-Time Systems

Non-Fragile H∞ Controller Design for Continuous-Time Systems

Non-Fragile H∞ Controllers Design with Sparse Structures

Conclusion

Non-Fragile H∞ Filtering with Interval-Bounded Coefficient Variations

Introduction

Non-Fragile H∞ Filtering for Discrete-Time Systems

Non-Fragile H∞ Filter Design for Linear Continuous-Time Systems

Sparse Structured H∞ Filter Design

Conclusion

Insensitive H∞ Filtering of Continuous-Time Systems

Introduction

Problem Statement

Insensitive H∞ Filter Design

Computation of Robust H∞ Performance Index

Comparison with the Existing Design Method

Example

Conclusion

Insensitive H∞ Filtering of Delta Operator Systems

Introduction

Problem Statement

Insensitive H∞ Filter Design

Example

Conclusion

Insensitive H∞ Output Tracking Control

Introduction

Problem Statement

Insensitive H∞ Tracking Control Design

Example

Conclusion

Insensitive H∞ Dynamic Output Feedback Control

Introduction

Problem Statement

Insensitive H∞ Controller Design

Example

Conclusion

Bibliography

Index

About the Authors

Guang-Hong Yang is currently a professor and director of the Institute of Control Theory and Navigation Technology at the College of Information Science and Engineering, Northeastern University, China. His research interests include fault tolerant control, fault detection and isolation, non-fragile control systems design, robust control, networked control, nonlinear control, and flight control systems. Dr. Yang has published more than 200 fully-refereed papers in technical journals and conference proceedings and has coauthored two books. He is an associate editor for the IEEE Transactions on Fuzzy Systems and the International Journal of Systems Science (IJSS). He is the chair of the IEEE Harbin Section Control Systems Society Chapter and general chair/program chair of the Chinese Control and Decision Conference (CCDC) (2008-2013).

Xiang-Gui Guo is a lecturer in the School of Electrical Engineering at Tianjin University of Technology, China. His research interests include insensitive control, non-fragile control, reliable control, and their applications to flight control systems design.

Wei-Wei Che is currently an associate professor at Shenyang University, China. She is a member of the IEEE. Her research interest includes non-fragile control, quantization control, and their applications to networked control system design.

Wei Guan is a lecturer in the School of Automation at Shenyang Aerospace University, China. His research interests include non-fragile control, actuator saturation, and state constraints.

Subject Categories

BISAC Subject Codes/Headings:
TEC007000
TECHNOLOGY & ENGINEERING / Electrical
TEC008000
TECHNOLOGY & ENGINEERING / Electronics / General
TEC009070
TECHNOLOGY & ENGINEERING / Mechanical