Mathematical Problems in Engineering 
Volume 4 (1998), Issue 2, Pages 165-185
doi:10.1155/S1024123X98000775

Robust stability and stabilization of a class of uncertain nonlinear systems with delays

Magdi S. Mahmoud

 Dept. of Electrical and Computer Engineering, Kuwait University, PO Box 5969, Safat 13060, Kuwait
Received 4 March 1996; Revised 18 October 1996

Abstract

A class of nonlinear systems with norm-bounded uncertainties and state-delay is considered. Two criteria are developed for the robust stability analysis: one is delay-independent and the other is delay-dependent. Methods for robust feedback synthesis are then examined. It is established that linear memoryless controllers are capable of guaranteeing the delay-dependent and delay-independent stabilizability of the closed-loop systems. All the results are expressed in the form of linear matrix inequalities which can be solved by efficient and numerically-stable routines. The developed theory is applied to the stability robustness problem of an industrial jacketed continuous stirred tank reactor.