Robust Fractional Order Proportional Integral Control for Large Time-Delay System

Abstract:

In this paper, a new control method for large time delay system is proposed. Firstly, the decreasing time delay controller is used to remodel large delay time plant into small delay time plant. Then, a fractional robust proportional-integral controller (FOPI) is designed, using the phase margin and cut-off frequency at a specified point in the Bode plot of flat robust conditions, to guarantee the desired control performance and the robustness of the high order system to the gain order system. For comparison between the fractional order proportional integral controller and the traditional integer order PID (IOPID) controller, the IOPID controller is also designed following the same proposed tuning specifications. The simulation results indicates that the both designed controllers work efficiently. Furthermore, the FOPI controller makes the large time-delay system get better control effect, the system has high robustness, adaptive ability and anti-jamming ability.

• Periodical: Applied Mechanics and Materials (Volumes 716-717)
• Pages: 1614-1619
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.716-717.1614
• Online since: December 2014
• Authors: Rui Hao Xin, Chun Yang Wang*, Xue Lian Liu, Ming Qiu Li, Duan Yuan Bai
• Keywords: Decreasing Time-Delay Controller, Fractional Controller, Large Time-Delay System, Phase Margin, Robustness

References

[1] Z.S. Li. Neural network to join the big lag time lag weaken PID control system. Journal of Electronic Measurement and Instrument. 2008(03).

[2] K.S. Miller and B. Ross, An introduction to the fractional calculus and fractional differential equations, Wiley, New York, (1993).

[3] C.Y. Wang, W.C. Fu, Y.W. Shi. An Analytical Design of Fractional Order Proportional Integral Differential Controller for Robust Velocity Servo. In Proc. of the The 25th Chinese Control and Decision Conference (CCDC), Guiyang, China in May 25-27, 2013 in Guiyang, China.

DOI: 10.1109/ccdc.2013.6561527

[4] H.S. Li, Ying Luo, and Yangquan Chen, A fractional order proportional and derivative (FOPD) motion controller: Tuning rule and experiments, IEEE Transactions on Control System Technology (accepted to appear).

DOI: 10.1109/tcst.2009.2019120

[5] Y. Luo and Y.Q. Chen, Fractional-order [proportional derivative] controller for robust motion control: Tuning procedure and validation, in Proc. of American Control Conference (accepted to appear), St. Louis, Missouri, June 10-12 (2009).

DOI: 10.1109/acc.2009.5160284

[6] H.S. Li and Y.Q. Chen. A fractional order proportional and derivative FOPD controller tuning algorithm. In Proceedings of the Chinese Control and Decision Conference 2008, 4059-4063.

DOI: 10.1109/ccdc.2008.4598094

[7] C.Y. Wang, Y. Luo, and Y.Q. Chen, An analytical design of fractional order proportional Integral and proportional integral controllers for robust velocity servo[C]. The 4th IEEE Conference on Industrial Electronics and Applications, USA: IEEE, 2009: 3448-3453.

DOI: 10.1109/iciea.2009.5138847

[8] Y. Luo, Y.Q. Chen. Stabilizing and robust fractional order PI controller synthesis for first order plus time delay systems. Automatica. Volume 48, Issue 9, 2012, 2159-2167.

DOI: 10.1016/j.automatica.2012.05.072

[9] H. Wei, L.D. Pan. Robust Continuous-time Generalized Predictive Control for Large Time-delay System. Journal of Donghua University(English Edition). 2008(05).

[10] Y. Luo, Y.Q. Chen, C.Y. Wang, Y.G. Chen. Tuning fractional order proportional integral controllers for fractional order systems. Journal of Process Control. 20 (2010) 823C831.

DOI: 10.1016/j.jprocont.2010.04.011