Design of adaptive fuzzy PID tuner using optimization method

The main scope of this paper is to investigate the research of fuzzy PID control by utilizing the SQP (sequential quadratic programming) algorithm which is one of the constrained optimization algorithms. This paper presents a novel method to design the fuzzy PID tuners which combine the PID control and fuzzy control in order to improve the system performance for complex systems in which the normal PID controller is not suitable in such a case. The optimization algorithm is utilized to develop an optimization scheme in order to search the optimal fuzzy tuner design parameters, including the position and the shape of membership functions and the scaling factors based on the cost function. By using optimization algorithms, the fuzzy PID tuner design problem is transferred to the parameter optimal problem and the fuzzy controller design parameters are optimized such that the minimum cost function can be achieved based on the given performance index. The proposed method is applied to several numerical experiments and the results are presented to demonstrate its efficiency and performance.