FRACTIONAL FUZZY LOGIC PID CONTROLLER
Belal Abou-Zalam, S. G. ELNASHAR · Menoufia Journal of Electronic Engineering Research · 2008
An algorithm for designing a fuzzy controller for fractional systems is presented. The essential idea is to design a nonlinear PID controller using fuzzy reasoning logic at the same time fuzzying the fractional orders of both the integrator and the differentiator, to produce a fractional order fuzzy controller. The gains of the fractional order controller are automatically and continuously adjusted. The fractional orders of the integration and differentiation are obtained based on a designed rule base, so they will be changed according to the error and the change of the error. Numerical simulation results demonstrate the effectiveness of the proposed algorithm in handling linear and nonlinear fractional systems as well as chaotic systems.