Frequency Domain Design of Fractional Order PID Controller for AVR System Using Chaotic Multi-objective Optimization

TL;DR

This paper presents a frequency domain design method for fractional order PID controllers in AVR systems using a chaotic multi-objective optimization approach, improving trade-offs and robustness over traditional methods.

Contribution

It introduces a chaotic Henon map-enhanced NSGA-II algorithm for better multi-objective optimization of FOPID controllers in frequency domain.

Findings

Chaotic Henon map improves Pareto front quality.

Frequency domain design guarantees stability and robustness.

FOPID controllers outperform traditional PID in trade-offs.

Abstract

A fractional order (FO) PID or FOPID controller is designed for an Automatic Voltage Regulator (AVR) system with the consideration of contradictory performance objectives. An improved evolutionary Non-dominated Sorting Genetic Algorithm (NSGA-II), augmented with a chaotic Henon map is used for the multi-objective optimization based design procedure. The Henon map as the random number generator outperforms the original NSGA-II algorithm and its Logistic map assisted version for obtaining a better design trade-off with an FOPID controller. The Pareto fronts showing the trade-offs between the different design objectives have also been shown for both the FOPID controller and the conventional PID controller to enunciate the relative merits and demerits of each. The design is done in frequency domain and hence stability and robustness of the design is automatically guaranteed unlike the other time domain optimization based controller design methods.