Tuning of fractional order PID controller for higher order process based on ITAE minimization

This paper presents the time domain optimal tuning of fractional order Proportional Integral Derivative (FOPID) controller designed for higher order fractional model by using optimization with integral performance indices. The Integral Time Absolute Error (ITAE) is chosen as performance measure because it is one of the good tuning criterion to obtain controller parameters and widely used in PID controller design. The minimization of the ITAE is carried out by using Genetic Algorithm (GA). GA minimizes the ITAE and gives the optimum values of FOPID controller parameters. The purpose of this paper is to apply GA based ITAE minimization on higher order fractional delayed system to track the set point. Simulation results show the effectiveness of the proposed method.

[1]  I. Podlubny.  Fractional-Order Systems and -Controllers , 1999 .

[2]  Thomas F. Coleman,et al.  Optimization Toolbox User's Guide , 1998 .

[3]  Serdar Ethem Hamamci.  An Algorithm for Stabilization of Fractional-Order Time Delay Systems Using Fractional-Order PID Controllers , 2007, IEEE Transactions on Automatic Control.

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

[5]  Dingyu Xue,et al.  Fractional-Order Controller Design for Oscillatory Fractional Time-Delay Systems Based on the Numerical Inverse Laplace Transform Algorithms , 2015 .

[6]  Amit Konar,et al.  Tuning PID and PI/λDδ Controllers using the Integral Time Absolute Error Criterion , 2008, 2008 4th International Conference on Information and Automation for Sustainability.

[7]  Y. Chen,et al.  Sub-Optimum H2 Rational Approximations to Fractional Order Linear Systems , 2005 .

[8]  Suman Saha,et al.  On the Selection of Tuning Methodology of FOPID Controllers for the Control of Higher Order Processes , 2011, ISA transactions.

[9]  YangQuan Chen,et al.  Fractional-order systems and control : fundamentals and applications , 2010 .

[10]  Jun-yi Cao,et al.  Design of Fractional Order Controllers Based on Particle Swarm Optimization , 2006, 2006 1ST IEEE Conference on Industrial Electronics and Applications.

[11]  Mohammad Saleh Tavazoei,et al.  Notes on integral performance indices in fractional-order control systems , 2010 .

[12]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[13]  B. M. Patre,et al.  Robust FOPI controller design for power control of PHWR under step-back condition , 2014 .

[14]  Bing-Gang Cao,et al.  Optimization of fractional order PID controllers based on genetic algorithms , 2005, 2005 International Conference on Machine Learning and Cybernetics.

[15]  G. M. Malwatkar,et al.  Tuning PID controllers for higher-order oscillatory systems with improved performance. , 2009, ISA transactions.

[16]  R. Vinodha,et al.  Genetic Algorithm Based PID Controller Tuning Approach for Continuous Stirred Tank Reactor , 2014, Adv. Artif. Intell..

[17]  Shantanu Das,et al.  Optimum weight selection based LQR formulation for the design of fractional order PIλDμ controllers to handle a class of fractional order systems , 2013, 2013 International Conference on Computer Communication and Informatics.