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.
"This is a very interesting book. It is a well written and easy to follow. It does require the readers to know some basics of advanced control system theory ... . The book can be used by postgraduate students and researchers who are interested in linear descriptor systems." (Bing Chu, Mathematical Reviews, April, 2018)
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.
Series: Studies in Systems, Decision and Control
Number Of Pages: 142
Published: 10th March 2017
Publisher: Springer Verlag, Singapore
Country of Publication: SG
Dimensions (cm): 24.13 x 15.88
Weight (kg): 0.44