Robust L(2)-L(infinity) control for uncertain singular systems with time-varying delay

We study the problem of L(2)-L(infinity) control for a class of uncertain singular systems with time-delay and norm-bounded parameter uncertainties in this paper. A new delay-dependent robust stability criterion is obtained in terms of linear matrix inequalities (LMIs). Based on this criterion, a state feedback controller is designed to guarantee that the closed-loop system is regular, impulse free and stable with a prescribed L(2)-L(infinity) performance satisfied for all admissible parameter uncertainties. A simulation example is included to illustrate the effectiveness of the proposed method. (C) 2008 National Natural Science Foundation of China and Chinese Academy of Sciences. Published by Elsevier Limited and Science in China Press. All rights reserved.Materials Science, MultidisciplinaryMultidisciplinary SciencesSCI(E)EI12ARTICLE81015-10211