Observer-based hybrid control of sampled-data uncertain system with input time delay

This paper proposes a new digital redesign method for determining the hybri d controller of a continuous-time system with input time delay using an obs erver-based digital controller. The proposed method together with the genet ic algorithms is used to determine: (1) the interval digital model of a con tinuous-time uncertain System with input time delay, (2) the interval digit al redesign control law and (3) the interval digital observer of the origin al continuous-time uncertain observer with input time delay. Moreover, the result is less conservative than those obtained by the existing interval me thods. A discrete-time observer is built by the original continuous-time ob server with input-time-delay control law and a predictor such that the esti mated states of the redesigned discrete-time observer closely match those o f the original continuous-time observer with input time delay not only at s ampling instants but also the behavior of the system state during the sampl ing interval is optimal by minimizing the hybrid performance index. The dig itally redesigned observer-based controller can closely match the states of the digitally redesigned uncertain sampled-data system with those of the o riginal continuous-time observer-based controlled uncertain system with inp ut time delay.