%0 Journal Article
%T Minimiza£¿£¿o do custo H¡Þ de sistemas incertos discretos no tempo com atraso nos estados
%A Caldeira
%A Andr¨¦ F.
%A Miranda
%A M¨¢rcio F.
%A Leite
%A Valter J. S.
%A Gon£¿alves
%A Eduardo N.
%J Sba: Controle & Automa£¿£¿o Sociedade Brasileira de Automatica
%D 2011
%I Sociedade Brasileira de Autom¨¢tica
%R 10.1590/S0103-17592011000300004
%X this paper deals with uncertain discrete-time systems with time varying delay affecting the state vector. it is considered that the uncertainties are represented in a polytopic domain and they may be present in all matrices of the model of the system. conditions expressed as linear matrix inequalities (lmis) are proposed for the h¡Þ guaranteed cost computation and for the design of robust state feedback control gains that minimize the h¡Þ norm from the perturbation input to the system output. these conditions are established by using parameter dependent lyapunov-krasovskii (l-k) functions. slack matrix variables - via finsler's lemma - are employed to decouple the matrices of the system from the l-k function ones. the "jensen's inequality" is used to handle crossed terms in the development of the conditions, yielding a less conservative over bound w.r.t. other approaches in the literature. the provided conditions are delay-dependent. numerical examples are presented to illustrate the eficacy of the proposed conditions and they are used to establish comparisons with other techniques available in the literature.
%K time-varying delay
%K discrete-time systems
%K h¡Þ robust control
%K linear matrix inequalities
%K parameter dependent lyapunov-krasovskii function
%K finsler's lemma
%K jensen's inequality.
%U http://www.scielo.br/scielo.php?script=sci_abstract&pid=S0103-17592011000300004&lng=en&nrm=iso&tlng=en