Chaotic multi-objective optimization based design of fractional order PIλDμ controller in AVR system

Abstract In this paper, a fractional order (FO) PI λ D μ controller is designed to take care of various contradictory objective functions for an automatic voltage regulator (AVR) system. An improved evolutionary non-dominated sorting genetic algorithm II (NSGA II), which is augmented with a chaotic map for greater effectiveness, is used for the multi-objective optimization problem. The Pareto fronts showing the trade-off between different design criteria are obtained for the PI λ D μ and PID controller. A comparative analysis is done with respect to the standard PID controller to demonstrate the merits and demerits of the fractional order PI λ D μ controller.

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