Title: Guaranteed cost control of linear uncertain time-delay switched singular systems based on an LMI approach

Authors: Xuemin Tian; Chun-ming Li; Sheng Chen

Addresses: College of Information and Control Engineering, China University of Petroleum, Dongying 257061, China. ' College of Information and Control Engineering, China University of Petroleum, Dongying 257061, China. ' Electronics and Computer Science, Faculty of Physical and Applied Sciences, University of Southampton, Southampton SO17 1BJ, UK; Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Abstract: This contribution considers the guaranteed cost control for a class of linear uncertain time-delay switched singular systems under arbitrary switching laws with a given quadratic performance index. Based on a Lyapunov function approach and a linear matrix inequality (LMI) technique, a sufficient condition on the existence of guaranteed cost state feedback controllers is derived, which ensures that the uncertain time-delay switched singular system is admissible and a desired level of cost index can be guaranteed. The design problem of guaranteed cost controller is turned into the solvable problem of a set of LMIs. A numerical example is given to show the effectiveness and feasibility of the presented method.

Keywords: switched singular systems; uncertainty; time delay; guaranteed cost control; linear matrix inequalities; LMIs; feedback control.

DOI: 10.1504/IJMIC.2012.048917

International Journal of Modelling, Identification and Control, 2012 Vol.17 No.2, pp.109 - 115

Published online: 17 Dec 2014 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article