Gain and Order Scheduling of Optimal Fractional Order PID Controllers for Random Delay and Packet Dropout in Networked Control Systems

Article Preview

Abstract:

Application of fractional order (FO) PID controllers has been proposed over an unreliable network with random delays and packet dropouts. The gain and order of the controllers have been tuned offline to obtain optimal time domain performance for different network conditions with the help of Genetic Algorithm (GA). The FO controller parameters are then scheduled for time varying network conditions and the performance is compared with their integer order counterparts.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 403-408)

Pages:

4814-4820

Citation:

Online since:

November 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Mo-Yuen Chow and Yodyium Tipsuwan, Network-based control systems: a tutorial", The 27th Annual Conference of the IEEE Industrial Electronics Society, 2001. IECON , 01, 2001, vol. 3, pp.1593-1602.

DOI: 10.1109/iecon.2001.975529

Google Scholar

[2] J. P. Hespanha, P. Naghshtabrizi, and Yonggang Xu, A survey of recent results in networked control systems, Proceedings of the IEEE, vol. 95, no. 1, pp.138-162, (2007).

DOI: 10.1109/jproc.2006.887288

Google Scholar

[3] Y. Tipsuwan and M. Chow, Control methodologies in networked control systems, Control Engineering Practice, vol. 11, no. 10, pp.1099-1111, Oct. (2003).

DOI: 10.1016/s0967-0661(03)00036-4

Google Scholar

[4] Mo-Yuen Chow and Y. Tipsuwan, Gain adaptation of networked DC motor controllers based on QoS variations, IEEE Transactions on Industrial Electronics, vol. 50, no. 5, pp.936-943, (2003).

DOI: 10.1109/tie.2003.817576

Google Scholar

[5] Y. Tipsuwan and Mo-Yuen Chow, On the gain scheduling for networked PI controller over IP network, IEEE/ASME Transactions on Mechatronics, vol. 9, no. 3, pp.491-498, (2004).

DOI: 10.1109/tmech.2004.834645

Google Scholar

[6] K. Hirai and Y. Satoh, Stability of a system with variable time delay, IEEE Transactions on Automatic Control, vol. 25, no. 3, pp.552-554, (1980).

DOI: 10.1109/tac.1980.1102355

Google Scholar

[7] Hongbo Li, Mo-Yuen Chow and Zengqi Sun, Optimal stabilizing gain selection for networked control systems with time delays and packet losses, IEEE Transactions on Control Systems Technology, vol. 17, no. 5, pp.1154-1162, (2009).

DOI: 10.1109/tcst.2008.2004346

Google Scholar

[8] N. B. Almutairi, Mo-Yuen Chow and Y. Tipsuwan, Network-based controlled DC motor with fuzzy compensation", The 27th Annual Conference of the IEEE Indutrial Electronics Society, 2001, IECON , 01, vol. 3, pp.1844-1849, (2001).

DOI: 10.1109/iecon.2001.975571

Google Scholar

[9] L. M. Eriksson and M. Johansson, Simple PID tuning rules for varying time-delay systems, 46th IEEE Conference on Decision and Control, 2007, pp.1801-1807, (2007).

DOI: 10.1109/cdc.2007.4434620

Google Scholar

[10] Indranil Pan, Saptarshi Das, and Amitava Gupta, Tuning of an optimal fuzzy PID controller with stochastic algorithms for networked control systems with random time delay, ISA Transactions, vol. 50, no. 1, pp.28-36, Jan. (2011).

DOI: 10.1016/j.isatra.2010.10.005

Google Scholar

[11] Ivo Petras, Yang Quan Chen, and C. Coopmans, Fractional-order memristive systems, IEEE Conference on Emerging Technologies & Factory Automation, 2009. ETFA 2009, pp.1-8, (2009).

DOI: 10.1109/etfa.2009.5347142

Google Scholar

[12] Igor Podlubny, Fractional-order systems and PIλDμ-controllers, IEEE Transactions on Automatic Control, vol. 44, no. 1, pp.208-214, (1999).

DOI: 10.1109/9.739144

Google Scholar

[13] Suman Saha, Saptarshi Das, Ratna Ghosh, Bhaswati Goswami, R. Balasubramanian, A.K. Chandra, Shantanu Das and Amitava Gupta, Design of a Fractional Order Phase Shaper for Iso-Damped Control of a PHWR Under Step-Back Condition, IEEE Transactions on Nuclear Science, vol. 57, no. 3, pp.1602-1612, (2010).

DOI: 10.1109/tns.2010.2047405

Google Scholar

[14] Shantanu Das, Functional fractional calculus for system identification and controls, Springer-Verlag, (2008).

Google Scholar

[15] Varsha Bhambhani, Yiding Han, Shayok Mukhopadhyay, Ying Luo, and YangQuan Chen, Hardware-in-the-loop experimental study on a fractional order networked control system testbed, Communications in Nonlinear Science and Numerical Simulation, vol. 15, no. 9, pp.2486-2496, Sep. (2010).

DOI: 10.1016/j.cnsns.2009.10.010

Google Scholar

[16] M. Zhuang and D.P. Atherton, Automatic tuning of optimum PID controllers, IEE Proceedings D: Control Theory and Applications, vol. 140, no. 3, pp.216-224, (1993).

DOI: 10.1049/ip-d.1993.0030

Google Scholar

[17] Yaochu Jin and J. Branke, Evolutionary optimization in uncertain environments-a survey, IEEE Transactions on Evolutionary Computation, vol. 9, no. 3, pp.303-317, (2005).

DOI: 10.1109/tevc.2005.846356

Google Scholar

[18] Y. Sano and H. Kita, Optimization of noisy fitness functions by means of genetic algorithms using history of search with test of estimation", Proceedings of the 2002 Congress on Evolutionary Computation, 2002. CEC , 02, 2002, vol. 1, pp.360-365.

DOI: 10.1109/cec.2002.1006261

Google Scholar

[19] S. Tsutsui and A. Ghosh, Genetic algorithms with a robust solution searching scheme, IEEE Transactions on Evolutionary Computation, vol. 1, no. 3, pp.201-208, (1997).

DOI: 10.1109/4235.661550

Google Scholar