Analysis and Design of Uncertain Time-Delay Systems Subject to Actuator Saturation

This paper is devoted to stability analysis of uncertain continuous-time systems with time-delay in state and input saturation. The domain of attraction of the origin resulting from an a priori designed state feedback law is analyzed using Lyapunov-Razumikhin function approach. Delay-dependent estimation of the domain of attraction is presented using linear matrix inequality (LMI) technique which can be easily used for controller synthesis. The problem of designing linear state feedback laws such that the domain of attraction is enlarged is formulated and solved as an optimization problem with LMI constraints. The effectiveness of the developed method is illustrated with example.