Mahmoud M.S.Zribi M.Faculty of EngineeringMSA UniversityAmer StreetMesaha SquareDokkiEgypt; Department of Electrical and Computer EngineeringKuwait UniversityP.O. Box 5969Safat 13060Kuwait2020-01-252020-01-252002457906https://doi.org/10.1016/S0045-7906(01)00056-8PubMed ID :https://t.ly/mpEqxScopusIn this paper, we investigate the robust passivity synthesis problem for a class of uncertain systems with multiple state delays. Both the delay-independent and the delay-dependent cases are treated. In each case, a sufficient condition for which the uncertain multi-state delay system is robustly stable and strictly passive (SP) for all admissible uncertainties is provided in terms of a linear matrix inequality. Then, we propose a dynamic feedback design methodology based on either state measurements or output measurements. For both types of controllers, it is proven that the closed-loop uncertain time-delay system is asymptotically stable and SP for all admissible uncertainties. A detailed simulation example is given to illustrate the theoretical developments. � 2002 Published by Elsevier Science Ltd.EnglishPassive controlState delaysUncertain systemsClosed loop control systemsComputer simulationFeedbackMatrix algebraRobustness (control systems)Passive control synthesisUncertain systemsArticlehttps://doi.org/10.1016/S0045-7906(01)00056-8PubMed ID :