Optimal non-fragile guaranteed cost control for linear discrete-time systems with structured uncertainty
结构不确定离散系统的最优非脆弱保成本控制

The problem of the optimal non-fragile guaranteed cost control for uncertain linear discrete-time systems is considered. Both the system and the state feedback controller under consideration are assumed to have the time - varying structured uncertainties. Based on the linear matrix inequality technology, a sufficient condition is established to guarantee the existence of the desired non - fragile controllers and can be used to design such controllers. Two convex optimization algorithms are also proposed to select the optimal non - fragile controller in the sense of minimizing the upper bound of the quadratic performance index. A numerical example is given to show that the conservation of the upper bound is reduced by using the developed approach.