A Design Method of Control System Described by Transfer Function Using Fuzzy Partition

Abstract

In this paper, for the two dimensional linear control system described by the transfer function, a design method of the unity feedback control system using the fuzzy partition of the design plane is proposed. That is, according to the design specifications, we fuzzily part the design plane and assign the gain which gives characteristic roots satisfying the design specifications on each partition. And, we infere the whole gain of the system from the each gain by the fuzzy reasoning. Then, we obtain the simulation results of the systems with the special damping ratio ζ of the characteristic roots. One of the damping ratio is chosen from Butterworth pattern, the other is ζ=(1.5, 0.2). Next, using those simulation results, we show a design method of the unity feedback control system. Lastly, we apply this design method to the fuzzy compensation element design.