Robust stabilizing control for uncertain time-delay systems containing saturating actuators

The delay-dependent memoryless robust stabilization problem for a class of uncertain linear time-delay systems containing saturating actuator is considered in this paper. The uncertain time-delay systems under consideration are described by state differential equations with time-varying unknown-but-bounded uncertain parameters and time-delays in both state and control, the delays are assumed to be constant bounded but unknown. Razumikhin-type theorem, Lyapunov theorem and Linear Matrix Inequality (LMI) approach are employed to investigate these control problems. A new robust stability criteria and a sufficient condition for the existence of memoryless robust stabilizing control law are derived. The results depend on the size of delays and are given in terms of several linear matrix inequalities (LMIs). Copyright (C) 1998 IFAC.