Robust Control and Parameter Identification with Ellipsoidal Parametric Uncertainty System

For systems with ellipsoidal parametric uncertainty,an condition for robust state feedback control is proposed by means of linear matrix inequality principle.The condition takes the form of a linear matrix inequality.When this condition is satisfied,the robust state feedback gain matrix can be easily derived to guarantee robust stability and prescribed closed-loop performance.Based on prediction error identification,the estimate values of the unknown parameters are derived using input-output measurement datas.The positive answer to robust control and parameter identification can be obtained from the semidefinite program.Finally the efficiency of this method is illustrated with a simulation example.