Design of an optimized fractional order fuzzy PID controller for a piezoelectric actuator

This paper deals with piezoelectric actuators control. A fractional order fuzzy PID controller is designed for this class of systems with the help of particle swarm optimization (PSO) algorithm. Due to its special characteristics, the modeling and control of piezoelectric actuators has been one of the research topics for the last decade. In this work, the fractional order fuzzy PID controller parameters are defined as an optimization problem and the PSO is used to find their optimal values. First, the dynamic model is introduced based on the Bouc-Wen model which is generally used with a second order linear model to describe piezoelectric actuators behavior. After giving its principle, the fractional order fuzzy PID is designed using the PSO algorithm. Finally, the proposed approach validation and their performances evaluation are done through simulation. The major contribution of this paper is that the proposed controller structure is easy to implement, and has the same structure with the classical PID controller, but it gives better performances compared with classical PID and fuzzy PID controllers.