In this article, we introduce a robust nonfragile state feedback controller which is also optimal with respect to a quadratic performance index, using linear matrix inequalities (LMI). The uncertainties are assumed to be polytopic, both in the controller gains and the system dynamics. A numerical example is presented to demonstrate the efficiency of this method, and the controller turns out to be robust with respect to the uncertainties in the plant and the controller.
Proceedings of the 1998 American Control Conference
Non-fragile controller, Linear Matrix Inequalities, robust stability, Polytopic LDIs
Abdallah, Chaouki T.; Ali Jadbabaie; Domenico Famularo; and Peter Dorato. "Robust, non-fragile and optimal controller design via linear matrix inequalities." Proceedings of the 1998 American Control Conference (1998): 2842-2846. doi:10.1109/ACC.1998.688374.