A New PID Tuning Technique Using Differential Evolution for Unstable and Integrating Processes with Time Delay

  • Zafer Bingul
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3316)


In this paper, differential evolution algorithm (DEA), one of the most promising Evolutionary Algorithm’s, was employed to tune a PID controller and to design a set-point filter for unstable and integrating processes with time delay. The proposed cost function used in DEA gives the shortest trajectory with minimum time in the phase plane. The results obtained from the proposed tuning method here were also compared with the results of the method used in [1]. A time-domain cost function is deployed in order to obtain good compromise between the input step response and disturbance rejection design. The PID controllers optimized with DE algorithm and the proposed cost function gives a performance that is at least as good as that of the PID tuning method from [1]. With PID tuning method using DEA, a faster settling time, less or no overshoot and higher robustness were obtained. Furthermore, the tuning method used here is successful in the presence of high noise.


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  1. 1.
    Lee, Y., Lee, J., Park, S.: PID Controller Tuning for Integrating and Unstable Processes with Time Delay. Chemical Engineering Science 55, 3481–3493 (2000)CrossRefGoogle Scholar
  2. 2.
    Storn, R., Price, K.: Differential Evolution - A Simple and Efficient Heuristic for Global Optimization Over Continuous Spaces. Journal of Global Optimization 11(4), 341–359 (1997)MATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Price, K., Storn, R.: Minimizing the Real Functions of the ICEC 1996 contest by Differential Evolution. In: IEEE International Conference on Evolutionary Computation (ICEC 1996), pp. 842–844 (1996)Google Scholar
  4. 4.
    Huang, H.P., Chen, C.C.: Control-System Synthesis for Open-Loop Unstable Process with Time Delay. IEE Process-Control Theory and Applications 144(4), 334–336 (1997)MATHCrossRefGoogle Scholar
  5. 5.
    Aström, K.J., Hägglund, T.: PID Controllers: Theory, Design, and Tuning, The Instrmentation, Systems, and Automation Society (1995)Google Scholar
  6. 6.
    Varol, H.A., Bingul, Z.: A New PID Tuning Technique Using Ant Algorithm, American Control Conference, Boston, USA, 2154-2159 (2004)Google Scholar
  7. 7.
    Rad, A.B., Lo, W.L.: Predictive PI controller. Int. J. Control 60(5), 953–975 (1994)MATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Zafer Bingul
    • 1
  1. 1.Mechatronics EngineeringKocaeli UniversityKocaeliTurkey

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