Stability of nonlinearly-perturbed systems with time varying delay using LMIs  

作　　者：S.Jeeva Sathya Theesar P.Balasubramaniam 

机构地区：[1]Institute for Mathematical Sciences,University of Malaya [2]Department of Mathematics,Gandhigram Rural Institute-Deemed University

出　　处：《Journal of Systems Engineering and Electronics》2013年第6期1011-1018,共8页系统工程与电子技术（英文版）

摘　　要：This paper studies delay dependent robust stability and the stabilization problem of nonlinear perturbed systems with time varying delay. A new set of sufficient conditions for the stability of open as well as close loop systems are obtained in the sense of Lyapunov-Krasovskii. To reduce the conservatism, the work exploits the idea of splitting the delay interval into multiple equal regions so that less information on the time delay can be imposed to derive the results. The derived criterion not only improves the upper bounds of the time delay but also does not require the derivative of the delay to be known at prior. Easily testable sufficient criteria are presented in terms of linear matrix inequalities. It is shown that the derived conditions are very less conservative while comparing the maximum allowable upper bound of delay with the existing results in literature.This paper studies delay dependent robust stability and the stabilization problem of nonlinear perturbed systems with time varying delay. A new set of sufficient conditions for the stability of open as well as close loop systems are obtained in the sense of Lyapunov-Krasovskii. To reduce the conservatism, the work exploits the idea of splitting the delay interval into multiple equal regions so that less information on the time delay can be imposed to derive the results. The derived criterion not only improves the upper bounds of the time delay but also does not require the derivative of the delay to be known at prior. Easily testable sufficient criteria are presented in terms of linear matrix inequalities. It is shown that the derived conditions are very less conservative while comparing the maximum allowable upper bound of delay with the existing results in literature.

关 键 词：delay dependent stability time-varying delay nonlinear perturbations 

分 类 号：O231[理学—运筹学与控制论]