Delay-dependent stabilisation and disturbance tolerance for time-delay systems subject to actuator saturation

The problem of delay-dependent stabilisation of linear continuous-time systems with time delay in the state, additive bounded disturbances and limited actuators is presented. A design procedure based on the solution of coupled matrix inequalities and the use of the S-procedure is proposed. The links and the trade-offs between tolerance to both disturbance and delay, and the size of the region inside which the stability of the closed-loop saturated system is assured, are discussed.