Robust Control of Linear Descriptor Systems

✍ Scribed by Yu Feng, Mohamed Yagoubi (auth.)

• Publisher: Springer Singapore
• Year: 2017
• Tongue: English
• Leaves: 148
• Series: Studies in Systems, Decision and Control 102
• Edition: 1
• Category: Library

✦ Synopsis

This book develops original results regarding singular dynamic systems following two different paths. The first consists of generalizing results from classical state-space cases to linear descriptor systems, such as dilated linear matrix inequality (LMI) characterizations for descriptor systems and performance control under regulation constraints. The second is a new path, which considers descriptor systems as a powerful tool for conceiving new control laws, understanding and deciphering some controller’s architecture and even homogenizing different—existing—ways of obtaining some new and/or known results for state-space systems. The book also highlights the comprehensive control problem for descriptor systems as an example of using the descriptor framework in order to transform a non-standard control problem into a classic stabilization control problem. In another section, an accurate solution is derived for the sensitivity constrained linear optimal control also using the descriptor framework. The book is intended for graduate and postgraduate students, as well as researchers in the field of systems and control theory.

✦ Table of Contents

Front Matter....Pages i-xi
Introduction....Pages 1-6
Linear Time-Invariant Descriptor Systems....Pages 7-22
Dilated Linear Matrix Inequalities....Pages 23-43
Dissipative Control Under Output Regulation....Pages 45-59
Admissibility with Unstable and Nonproper Weights....Pages 61-83
Performance with Unstable and Nonproper Weights....Pages 85-103
Parametric Sensitivity Constrained LQ Control....Pages 105-118
Concluding Remarks....Pages 119-120
Back Matter....Pages 121-142

✦ Subjects

Control;Systems Theory, Control;Vibration, Dynamical Systems, Control