Non-fragile H∞ and Guaranteed Cost Control for a Class of UncertainDescriptor Systems

Based on linear matrix inequality (LMI), the problem of H∞ guaranteed cost control for a class of descriptor system is addressed, where the uncertainties exist in the systematic matrix and the controller gain. Under the additive perturbation, the sufficient condition of non-fragile H∞ guaranteed cost is presented, and corresponding controller design is given in terms of the feasible solutions of LMI.