A descriptor system approach to H∞ control for a class of uncertain Lur´e time-delay systems

In this paper, the problem concerning a descriptor system approach to H_∞ control for a class of uncertain Lur´e systems with both time-delays and parameter uncertainties are studied. A robust H_∞ state feedback controller based on the Linear Matrix Inequalities (LMIs) is developed to guarantee both the robust stability and the H_∞ performance of the resultant closed-loop system. The presented design approach is expected to be the lesser conservative as compared to reported design methods. Finally, some numerical examples are illustrated to demonstrate the superiority of the obtained method.