Takagi-Sugeno Fuzzy Model in Task of Controllers Design

Abstract

The designing of PID controllers is in many cases a discussed problem. Many of the design methods have been developed, classic (analytical tuning methods, optimization methods etc.) or not so common fuzzy knowledge based methods. In this case, the amount of fuzzy knowledge based methods is extended. New way of designing PID controller parameters is created, which is based on the relations of Chien, Hrones and Reswick design method (the modification of Ziegler-Nichols step response method). The proof of efficiency of the proposed method and a numerical experiment is presented including a comparison with the conventional Chien, Hrones and Reswick method (simulated in the software environment Matlab-Simulink). It is defined a class of systems for which - using the new proposed method - the settling time is shorter or the settling time is nearly the same but without overshoot, which could be also very useful.