Guaranteed cost control and robust bound for linear fractional uncertain system
线性分式不确定系统保成本控制及其鲁棒界

The dynamic output feedback guaranteed cost control for systems with linear fractional uncertainty was addressed.Based on linear matrix inequality(LMI),it was proved that necessary and sufficient condition for the existence of guaranteed cost controller was equivalent to the feasibility of a certain linear matrix inequality .A convex optimization problem was introduced to minimize the upper bound for the cost function of the closed-loop system,and the output feedback controllers were characterized by the solutions to this problem.By Finsler's lemma,an algorithm for finding a maximum perturbation bound for all admissbile perturbation parameters was also presented.