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Abstract

In recent years the increasing amount of work related to the application of Fractional Calculus (FC) is remarkable in many areas of science and engineering. In relation to automatic control, the use of Fractional Order Control (FOC) needs, for real applications, to develop methods for controller design and parameter tuning, and efficient strategies for controller implementation. On the other hand, the Proportional Integral Derivative (PID) controller is currently by far the most widely used form of feedback controller in industrial applications. This paper, after an introduction to FC and FOC, briefly presents methods for fractional PID controller tuning, including auto-tuning, and some software and hardware strategies for efficient implementations of controllers in industrial applications.

Keywords

Fractional order control PID controller tuning auto-tuning

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References

Aström, K.J. and Hägglund, T. , 2000, “ The future of PID Control ,” in Proceedings of the IFAC Workshop on Digital Control, Terrassa, Spain, pp. 19—30.

Bode, H.W. , 1945, Networks Analysis and Feedback Amplifier Design, Van Nostrand .

Chen, Y.Q. , Hu, C.H. , and Moore, K.L. , 2003, “ Relay feedback tuning of robust PID controllers with iso-damping property ,” in Proceedings of the 42nd IEEE Conference on Decision and Control, Maui , Hawai, pp. 9—12.

Hang, C. , Aström, K.J. , and Wang, Q. , 2002, “ Relay feedback autotuning of process controllers — a tutorial review ,” Journal of Process Control 12, 143—162 .

Monje, C.A. , Vinagre, B.M. , Chen, Y.Q. , Feliu, V. , Lanusse, P. , and Sabatier, J. , 2005, “Optimal tunings for fractional PI1Dμ,” in Fractional Derivatives and Their Applications, A. Le Mehauté , J. A. Tenreiro Machado , J. C. Trigeussou , and J. Sabatier (eds), UBooks, Augsburg , Germany, 1st edn, pp. 675—686.

Monje, C.A. , Calderón, A.J. , Vinagre, B.M. , and Feliu, V. , 2004, “ The fractional order lead compensator ,” in Proceedings of the IEEE International Conference on Computational Cybernetics, Vienna, Austria, pp. 347— 352.

Podlubny, I. , 1999, “ Fractional-order systems and PI1Dμ controllers ,” in IEEE Transactions on Automatic Control 44, 208—214 .

Valério, D. and Sá da Costa, J. , 2002, “ Time domain implementations of non-integer order controllers ,” in Proceedings of the 5th Portuguese Conference on Automatic Control, Aveiro, Portugal, pp. 353—358.

Vinagre, B.M. , Podlubny, I. , Dorcak, L. , and Feliu, V. , 2000, “ On fractional PID controllers — a frequency domain approach ,” in Proceedings of the IFAC Workshop on Digital Control, Terrassa, Spain, pp. 53—58.

10.

Vinagre, B.M. , Podlubny, I. , Hernández, A. , and Feliu, V. , 2000, “ Some approximations of fractional order operators used in control theory and applications ,” in Fractional Calculus & Applied Analysis 3(3), 231—248 .

11.

Ziegler, J.G. and Nichols, N.B. , 1942, “ Optimum settings for automatic controllers ,” Transactions of the ASME 64, 759—768 .

Fractional PID Controllers for Industry Application. A Brief Introduction

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