Application of ellipsoid optimization algorithm and state feedback control in ellipsoidal parametric uncertainty system

摘要

An state feedback control is presented for systems with ellipsoidal parametric uncertainty,the stable analysis is based on linear matrix inequality and lyapunov method,then the robust control gain can be easily derived by solving linear matrix inequality.In addtion, ellipsoid optimization algorithm is proposed to generate a sequence of ellipsoids with decreasing volume to identify the ellipsoidal parameter in the systems considering input-output measurement datas and the constrain conditions. Finally robust control and parameter optimization are combined to get a state feedback controller for systems considering ellipsoidal uncertainy parameter. The efficiency of this method is illustrated with a simulation example.