Robust H∞ Guaranteed Cost Control for Descriptor Systems with Time-Delay and Parameter-Uncertainty

The problem of robust H infinity guaranteed control for the descriptor systems with time-delay and parameter uncertainty is considered. A sufficient condition for the existence of non-fragile H infinity controller is presented in terms of linear matrix inequality such that the resulting closed-loop system is robustly stable and guarantees H infinity performance index. It is proved that the condition also satisfies the requirement of guaranteed cost control and an upper bound on the given cost function can be given. Furthermore, a design method of the optimal H infinity guaranteed cost control is given against the constant initial value. If the H infinity performance index and the upper bound are optimized by a series of proportion, the relationship of them can be derived. A numerical example is provided to demonstrate the effectiveness and feasibility of the proposed results.