Not Sure The Robust Control Problem Of A Class Of Linear System Research

This paper considers the issue of robust control for uncertain time-delay system.Based on the existing theory, we study the problem of robust control for uncertain time-delay system depended on Lyapunov Krasovskii functional approach and combinedwith the linear matrix inequality etc and then we obtain some new results. The maincontents of this paper are summarized as follows:(1) The issue of H-infnity control for the multi-delay uncertain continuous systemsare studied in the following state equationBased on linear matrix inequality and Lyapunov function, sufcient conditions for theexistences of H-infnity controllers are formulated. The controller can be constructedby solving linear matrix inequalities.(2) The issue of H-infnity control for uncertain Ito type stochastic systems withtime-varying delays are studied in the following state equationBased on Lyapunov function, sufcient conditions for the existences of H-infnity con-trollers are formulated by using linear matrix inequality and Ito diferential formula.The controller can be constructed by solving linear matrix inequalities.(3) The issue of guaranteed cost control for uncertain Ito type stochastic systemswith time-varying delays are studied in the following state equation Based on Lyapunov function, sufcient conditions for the existences of guaranteed costcontrollers are formulated by using linear matrix inequality and Ito diferential formula.The guaranteed cost controller can be constructed by solving linear matrix inequalities.