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In this paper, a fractional order (FO) PI{\lambda}D\mu controller is designedto take care of various contradictory objective functions for an AutomaticVoltage Regulator (AVR) system. An improved evolutionary Non-dominated SortingGenetic Algorithm II (NSGA II), which is augmented with a chaotic map forgreater effectiveness, is used for the multi-objective optimization problem.The Pareto fronts showing the trade-off between different design criteria areobtained for the PI{\lambda}D\mu and PID controller. A comparative analysis isdone with respect to the standard PID controller to demonstrate the merits anddemerits of the fractional order PI{\lambda}D\mu controller.

Chaotic multi-objective optimization based design of fractional order PI{\lambda}D{\mu} controller in AVR system