Tuning Fuzzy PD^{αlpha} Sliding-Mode Controller using PSO algorithm for trajectory tracking of a chaotic system

Abstract

This paper deals with the comparison between fuzzy sliding mode controller (FSMC) and novel approach of FSMC using a PDα sliding surface, for a trajectory tracking of a chaotic system. In order to alleviate the chattering phenomenon due to the discontinuity in the signum function, a Takagi-Sugeno fuzzy logic controller is used, and to ensure optimal performance in the closed loop system, the PSO algorithm is also used.
Finally the effectiveness of the proposed approach of FPDαSMC-based PSO algorithm is demonstrated by simulation results.