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Talar Sadalla, Dariusz Horla, Wojciech Giernacki and Piotr Kozierski

References [1] Azarmi R., Tavakoli-Kakhki M., Sedigh A.K., Fatehi A., Robust Fractional Order PI Controller Tuning Based on Bode's Ideal Transfer Function, 6th IFAC Symposium on System Structure and Control (SSSC), Istanbul, vol. 49, no. 9, pp. 158-163 (2016). [2] Bellmann R., Cooke K.L., Differential-Difference Equations, Academic Press (1963). [3] Caponetto R., Dongola G., Fortuna L., Petras L., Fractional Order Systems Modeling and Control Applications, World Scientific Series on Nonlinear Science, series A

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Sudalaiandi Sivananaithaperumal and Subramanian Baskar

References [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

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Isabela R. Birs, Cristina I. Muresan, Silviu Folea and Ovidiu Prodan

Mechanics and Materials Journal 598 534 538 10.4028/www.scientific.net/AMM.598.534 [16] C. A. Monje, Y.Q. Chen, B.M. Vinagre, D. Xue, and V. Feliu, 2010, Fractional order Systems and Controls: Fundamentals and Applications, Springer-Verlag, London. Monje C. A. Chen Y.Q. Vinagre B.M. Xue D. Feliu V. 2010 Fractional order Systems and Controls: Fundamentals and Applications Springer-Verlag London [17] Y. Luo and Y. Chen, (2011), Stabilizing and robust FOPI controller synthesis for first order plus time delay systems, In Proceedings of the IEEE Conference on Decision and