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Design of multivariable fractional order PID controller using covariance matrix adaptation evolution strategy

Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper presents an automatic tuning of multivariable Fractional-Order Proportional, Integral and Derivative controller (FO-PID) parameters using Covariance Matrix Adaptation Evolution Strategy (CMAES) algorithm. Decoupled multivariable FO-PI and FO-PID controller structures are considered. Oustaloup integer order approximation is used for the fractional integrals and derivatives. For validation, two Multi-Input Multi- Output (MIMO) distillation columns described byWood and Berry and Ogunnaike and Ray are considered for the design of multivariable FO-PID controller. Optimal FO-PID controller is designed by minimizing Integral Absolute Error (IAE) as objective function. The results of previously reported PI/PID controller are considered for comparison purposes. Simulation results reveal that the performance of FOPI and FO-PID controller is better than integer order PI/PID controller in terms of IAE. Also, CMAES algorithm is suitable for the design of FO-PI / FO-PID controller.
Rocznik
Strony
235--251
Opis fizyczny
Bibliogr. 16 poz., rys., tab., wzory
Twórcy
  • Aditanar College of Engineering, Thiruchendur, India
autor
  • Electrical and Electronics Engineering, Thiagarajar College of Engineering, Madurai, India
Bibliografia
  • [1] R. S. Barbosa, J. A. T. Machado and I. S. Jesus: Fractional PID control of an experimental servo system. Computers & Mathematics with Applications, 59(5), (2010), 1679-1686.
  • [2] A. Biswas, S. Das, A. Abraham and S. Dasgupta: Design of fractional-order PID controllers with an improved differential evolution. Engineering Applications of Artificial Intelligence, 22 (2009), 343-350.
  • [3] J. Y. Cao, J. Liang and B. G. Cao: Optimization of fractional order PID controllers based on genetic algorithms. Proc. Int. Conf. Machine Learning and Cybernetics, 9 (2005), 5686-5689.
  • [4] J. Y. Cao and B. G.Cao: Design of fractional order controller based on particle swarm optimization. Int. J. of Control, Automation, and Systems, 4(6), (2006), 775-781.
  • [5] Y. Q. Chen, I. Petras and D. Xue: Fractional order control - A Tutorial. Proc.American Control Conf., St. Louis, MO, USA. (2009), 1397-1411.
  • [6] M. A.Chengbin and Y. Hori: Fractional order control: Theory and applications in motion control [past and present]. IEEE. Industrial Electronics Magazine, 1(4), (2007), 6-16.
  • [7] N. Hansen: The CMA evolution strategy: A comparing eeview. Studies in fuzziness and soft computing, 192 (2006a), 75-102.
  • [8] N. Hansen: CMA-ES in MATLAB. Available from : http://www.lri.fr/hansen/cmaesinmatlab.html , (2006b).
  • [9] M. W. Iruthayarajan and S. Baskar: Evolutionary algorithms based design of multivariable PID controller. Expert Systems with Applications, 36(5), (2009), 9159-9167.
  • [10] M. W. Iruthayarajan and S. Baskar: Covariance matrix adaptation evolution strategy based design of centralized PID controller. Expert systems with Applications, 37(8), (2010), 5775-5781.
  • [11] C. A. Monje, Y. Q. Chen, B. M. Vinagre, D. Xue and V. Feliu: Fractional Order Systems and Controls - Fundamentals and Applications. Springer-Verlag, London Ltd. 2010.
  • [12] F. Padula and A. Visioli: Tuning rules for optimal PID and fractional-order PID controllers. J. of Process Control, 21(1), (2011), 69-81.
  • [13] I. Petras: The fractional order controllers: methods for their synthesis and application.J. of Electrical Engineering, 50(9), (1999), 284-288.
  • [14] I. Podlubny: Fractional-order systems and PIλDμ-controllers. IEEE Trans. Automatic Control, 44(1), (1999), 208-214.
  • [15] B. M. Vinagre, I. Podlubny, L. Dorcak and V. Feliu: On fractional PID controllers: a frequency domain approach. Proc. IFAC Workshop on Digital Control, Terrassa, Spain. (2000).
  • [16] M. Zamani, M. K.Ghartemani, N. Sadati and M. Parniani: Design of a fractional order PID controller for an AVR using particle swarm optimization. Control Engineering Practice, 179(12), (2009), 1380-1387.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-037009e4-a3fa-4d58-8e33-4732b34e3d29
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