Low-cost tuning of Fuzzy Controllers in a chaotic system stabilization problem

Abstract

A heuristic tuning of a Fuzzy Controller to examine the limits of gains that assures a unique control law for stabilization of a Rucklidge chaotic system is presented in this paper. The Rucklidge system is one of the paradigms of chaos that holds possibilities of applications in secure communication schemes and electrical power distribution systems where two identical or hybrid systems can be antisynchronized or synchronized for signal masking over public channels and power outage minimization and control. In this work, a low-cost and less rigorous fuzzy controller tuning strategy is presented where the controller output gain coefficients are tuned within a given bounds to produce unique solutions with better settling times in the context of state vectors stabilization problems. The strategy is less tedious when compared to other tuning methods used for controllers in some chaotic and non-chaotic systems. The approach has been validated on other chaotic systems to be robust for a class of chaotic system control.