A Genetic-Based Design of Auto-Tuning Fuzzy PID Controllers

10.30000/IJFS.200903.0007

Chia-Ju Wu；Chia-Nan Ko；Yu-Yi Fu；Chao-Hsien Tseng

Genetic algorithms ； fuzzy PID controllers ； multi-objective optimization ； multivariable systems

International Journal of Fuzzy Systems

11卷1期（2009 / 03 / 01）

49 - 58

英文

This paper presents genetic algorithms (GAs) to perform the optimal design of an auto-tuning fuzzy proportional-integral-derivative (PID) controller and to determine the minimal number of fuzzy rules simultaneously. Different from PID controllers with fixed gains, the fuzzy PID controller is expressed in terms of fuzzy rules, in which the input variables are the error signals and their derivatives, while the output variables are the PID gains. Based on the proposed GAs, the centers and the widths of the Gaussian membership functions, the fuzzy control rules corresponding to every possible combination of input linguistic variables, and the PID gains are chosen as parameters to be determined. When defining the fitness function of the GA, the concept of multi-objective optimization is used such that the fitness function can be defined in a systematic way. To show the effectiveness and validity of the designed fuzzy PID controller, a typical benchmark, a multivariable seesaw system, is used for illustration.