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Simplified Optimization Routine for Tuning Robust Fractional Order Controllers

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DOI: 10.4236/ajcm.2013.33B002    4,117 Downloads   5,582 Views   Citations

ABSTRACT

Fractional order controllers have been used intensively over the last decades in controlling different types of processes. The main methods for tuning such controllers are based on a frequency domain approach followed by optimization routine, generally in the form of the Matlab fminsearch, but also evolving to more complex routines, such as the genetic algorithms. An alternative to these time consuming optimization routines, a simple graphical method has been proposed. However, these graphical methods are not suitable for all combinations of the imposed performance specifications. To preserve their simplicity, but also to make these graphical methods generally applicable, a modified graphical method using a very straightforward and simple optimization routine is proposed within the paper. Two case studies are presented, for tuning fractional order PI and PD controllers.


Cite this paper

C. I. Muresan, "Simplified Optimization Routine for Tuning Robust Fractional Order Controllers," American Journal of Computational Mathematics, Vol. 3 No. 3B, 2013, pp. 7-12. doi: 10.4236/ajcm.2013.33B002.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] C.A. Monje, Y. Chen, B. M. Vinagre, D. Xue and V. Feliu, “Fractional-order Systems and Controls: Fundamentals and Applications,” Springer, London, 2010. doi:10.1007/978-1-84996-335-0
[2] C. I. Pop (Muresan), C. M. Ionescu, R. De Keyser, E. H. Dulf, “Robustness Evaluation of Fractional Order Control for Varying Time Delay Processes,” Signal, Image and Video Processing, Vol. 6, 2012, pp. 453-461. doi:10.1007/s11760-012-0322-4
[3] A. Oustaloup,” La Commande CRONE: Commande Robust d’ordre non entiere,” Hermes, Paris, France, 1991
[4] C. A. Monje, B. Vinagre, Y. Chen and V. Feliu, “On Fractional PIλcontrollers: Some Tuning Rules for Robustness to Plant Uncertainties,” Nonlinear Dynam, Vol. 38, 2004, pp. 369-381. doi:10.1007/s11071-004-3767-3
[5] C. I. Muresan, E. H. Dulf, R. Both, A. Palfi and M. Caprioru, “Microcontroller Implementation of a Multivariable Fractional Order PI Controller,” The 9th International Conference on Control Systems and Computer Science (CSCS19-2013), 29-31 May, Bucharest, Romania, Vol. 1, 2013, pp. 44-51.
[6] Y. Luo and Y. Chen, “Fractional Order Motion Controls,” John Wiley & Sons, 2012. doi:10.1002/9781118387726
[7] Y. Luo, Y. Chen, C.Y. Wang and Y. G. Pi, “Tuning Fractional Order Proportional Integral Controllers for Fractional Order Systems,” Journal of Process Control, Vol. 20, 2010, pp. 823-831. doi:10.1016/j.jprocont.2010.04.011
[8] C.A. Monje, B. Vinagre, Y. Chen and V. Feliu, “On Fractional PIλcontrollers: Some Tuning Rules for Robustness to Plant Uncertainties,” Nonlinear Dynam, Vol. 38, 2004, pp. 369-381. doi:10.1007/s11071-004-3767-3
[9] Y. Q. Chen and K. L. Moore, “Discretization Schemes for Fractional-order Differentiators and Integrators,” IEEE T. Circuits.-I., Vol. 49, 2002, pp. 363-367.
[10] Y. Q. Chen, H. Dou, B. M. Vinagre and C. A. Monje, “A Robust Tuning Method for Fractional Order PI Controllers,” Proceedings of the 2nd IFAC Workshop on Fractional Differentiation and its Applications, Portugal, 2006.

  
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