Grading control of dynamic robust stabilization for uncertain systems with a new uncertain parameter model

The paper presents a more general model for uncertain parameters and a notion of grading quadratic robust stabilization, and studies the problem of grading quadratic robust stabilization for such uncertain linear systems via dynamic output feedback. By the Lyapunov stability theory, a sufficient criterion of the existence of such controller is established in a Q-LMIS form. In view of LMI approach, a solving procedure of the Q-LMIS problem is proposed. The solvability for the Q-LMIS problem can be improved by adding some LMI constraints to the Q-LMIS. Based on the Q-LMIS criterion a grading robust control strategy for the robust stabilization is presented. An example is given to illustrate the grading control strategy of grading quadratic robust stabilization.