Genetic robust controller design for uncertain systems with time-delays in both state and control input via LMI approach

In this paper, the robust control for uncertain delay systems in state and control input is considered. The uncertainty is nonlinear time-varying perturbations and does not require a matching condition but is norm-bounded. Based on the constructive use of Lyapunov functional, delay-dependent stabilizability criteria are proposed to guarantee stability for the systems via linear control. Linear matrix inequality (LMI) and Genetic algorithms are used to design a memoryless state-feedback controller. Two numerical examples are given to illustrate that the proposed results are less conservative than some others.