Robust H∞ guaranteed cost control for descriptor systems with time-delay and parameter-uncertainty

The problem of robust Hinfin guaranteed control for the descriptor systems with time-delay and parameter uncertainty is considered. A sufficient condition for the existence of non-fragile Hinfin controller is presented in terms of linear matrix inequality such that the resulting closed-loop system is robustly stable and guarantees Hinfin 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 Hinfin guaranteed cost control is given against the constant initial value. If the Hinfin 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.