Conventional controller design based on Takagi–Sugeno fuzzy models

Abstract

Although it is long since the first PID controller design method was developed, new methods are still being created and no general applicable method has been found. The paper extends the set of designing methods of PID controllers. Design methods can be divided into classic (analytical tuning methods, optimization methods etc.) and not so common fuzzy knowledge based methods. In this case, a conjunction of both methods is presented. The classic design methods (Ziegler–Nichols step response method and Chien, Hrones and Reswick design method) are used for achieving the knowledge of fuzzy knowledge based design methods. The fuzzy knowledge based design methods are based on Takagi–Sugeno model. It is defined as 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. The proof of efficiency of the proposed methods and a numerical experiment is presented including a comparison with the conventional methods (simulated in the software environment Matlab-Simulink).