Multi-Objective Optimal Fuzzy Fractional-Order PID Controller Design

The design of the optimal fuzzy fractional-order PID controller is addressed in this work. A multi-objective genetic algorithm is proposed to design rule base and membership functions of the fuzzy logic systems. Three conflicting objective functions in both time and frequency domains have been used in Pareto design of the fuzzy fractional-order PID controller. The simulation results reveal the effectiveness of the proposed method in comparison with the results produced by the fractional-order PID controllers.

[1]  Ajith Abraham,et al.  Design of fractional-order PIlambdaDµ controllers with an improved differential evolution , 2009, Eng. Appl. Artif. Intell..

[2]  Nader Nariman-zadeh,et al.  Pareto optimal robust design of fractional-order PID controllers for systems with probabilistic uncertainties , 2012 .

[3]  YangQuan Chen,et al.  Fractional order control - A tutorial , 2009, 2009 American Control Conference.

[4]  Xavier Blasco Ferragud,et al.  A new graphical visualization of n-dimensional Pareto front for decision-making in multiobjective optimization , 2008, Inf. Sci..

[5]  YangQuan Chen,et al.  Tuning and auto-tuning of fractional order controllers for industry applications , 2008 .

[6]  P. T. Chan,et al.  Tuning of fuzzy controller for an open-loop unstable system: a genetic approach , 2000, Fuzzy Sets Syst..

[7]  YangQuan Chen,et al.  Fractional-order Systems and Controls , 2010 .

[8]  Hyungsuck Cho,et al.  Genetic algorithm-based optimization of fuzzy logic controller using characteristic parameters , 1995, Proceedings of 1995 IEEE International Conference on Evolutionary Computation.

[9]  R. Toscano A simple robust PI/PID controller design via numerical optimization approach , 2004 .

[10]  Nasser Sadati,et al.  Design of a fractional order PID controller for an AVR using particle swarm optimization , 2009 .

[11]  Igor Podlubny,et al.  Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1999 .

[12]  Mohamed Karim Bouafoura,et al.  PI λ D μ controller design for integer and fractional plants using piecewise orthogonal functions , 2010 .

[13]  I. Podlubny Fractional-order systems and PIλDμ-controllers , 1999, IEEE Trans. Autom. Control..

[14]  Ajith Abraham,et al.  Design of fractional order PIλDμ controllers with an improved differential evolution , 2008, GECCO '08.

[15]  Alexandra M. Galhano,et al.  Performance of Fractional PID Algorithms Controlling Nonlinear Systems with Saturation and Backlash Phenomena , 2007 .