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To handle the control difficulties caused by high-order dynamics, a controlstructure based on fractional order [proportional integral] (PI) controller andfractional order Smith-like predictor for a class of high order systems in thetype of K/(Ts+1)n is proposed in this paper. The analysis of the tracking anddisturbance rejection is illustrated based on the terminal value theorem andshows that the proposed control structure can ensure that the closed-loopsystem converges to the set point without static error and the closed-loopsystem recovers to its original state when the input disturbance occurs. Then,simulations about the influence on the control performance and control signalwith different are carried out based on multi-objective genetic algorithm(MO-GA). The results show that the control performance can be improved and theenergy of the control signal can be reduced simultaneously when the order ischosen no more than one. This can verify that the fractional order Smith-likepredictor with has an advantage over that of the integral order Smith-likepredictor.

Fractional order [PI] Controller and Smith-like Predictor Design for A Class of High Order Systems