Linear Systems
Non-Fragile Control and Filtering
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Book 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
Author(s)
Biography
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.