Robust Control of Linear Descriptor Systems

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 differentexistingways 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.

Provides a uniformed way to handle unstable and nonproper weighing filters Explicitly exhibits the control's structure achieving stabilization under weights Covers different applications of the descriptor framework for solving sensitivity constrained linear optimal control Includes supplementary material: sn.pub/extras

Autorentext
Feng Yu is a professor at Information Engineering College, Zhejiang University of Technology, China. He received his Ph.D. from Ecole des Mines de Nantes, France, in 2011. He has been listed in the Qianjiang Talent Plan since 2013 by the Zhejiang Province Human Resources and Social Security Bureau and as an entitled Qianjiang Distinguished Professor by the Department of Education of Zhejiang Province, China since 2015. Yagoubi Mohamed is an associate professor at the Department of Automatic Control, Production and Computing, Ecole des Mines de Nantes. He is a member of the Control Research team at the Institut de Recherche et Communication et Cybernétique de Nantes (IRCCyN).

Inhalt
Introduction.- Linear Time-Variant Descriptor Systems.- Dilated Linear Matrix Inequality.- Dissipative Control under Output Regulation.- Admissibility with Unstable and Nonproper Weights.- Performance with Unstable and Nonproper Weights.- Parametric Sensitivity Constrained Linear Quadratic Conrtrol.- Concluding Remarks.