The Application Of Adaptive Control In The Two Types Of The Actual System

This paper mainly deals with the applications of adaptive control in two practical systems. It includes four parts and is arranged according to the following sequence:First: ProlegomenonThe first part briefly introduced adaptive control development, and then give an overview of the backstepping control, the fuzzy control and the chaos control.Second: Adaptive fuzzy-backstepping control for inverted pendulum systemFor a inverted pendulum system, by the approximation property of fuzzy systems and backstepping design approach, the design of a adaptive fuzzy backstepping control is given in this part. The singular problem is avoided by using integral Lyapunov function. It is proved that all the signals in the closed-loop system are global uniformly bounded. In a simulation example, a comparison between the controller with some fuzzy rules and the one without any fuzzy rule is given. When the controller uses fuzzy rules, the performance improved markedly.Third: Adaptive backstepping control for nonlinear oscillatorThe problem of adaptive backstepping control for the nonlinear oscillator is considered in this part. By using the adaptive backstepping approach, the non-periodic oscillating signal is transformed into the periodic one, global stability of the closed-loop system is guaranteed. Meanwhile, the output of the nonlinear oscillator asymptotically tracks an arbitrarily given reference signal. The effectiveness of the approach is demonstrated by simulation results.Fourth: ConclusionThis part provides a summary of the paper, and give a specification to the drawback and some point that should be improved in this paper.