Identification and PID Control for a Class of Delay Fractional-order Systems

Zhuoyun Nie; Qingguo Wang; Ruijuan Liu; Yonghong Lan

Volume 3 Issue 4

Oct. 2016

IEEE/CAA Journal of Automatica Sinica

JCR Impact Factor: 11.8, Top 4% (SCI Q1)

CiteScore: 17.6, Top 3% (Q1)
Google Scholar h5-index: 77， TOP 5

Turn off MathJax

Article Contents

Article Navigation > IEEE/CAA Journal of Automatica Sinica > 2016 > 3(4): 463-476

Zhuoyun Nie, Qingguo Wang, Ruijuan Liu and Yonghong Lan, "Identification and PID Control for a Class of Delay Fractional-order Systems," IEEE/CAA J. Autom. Sinica, vol. 3, no. 4, pp. 463-476, Oct. 2016.

Citation:

Zhuoyun Nie, Qingguo Wang, Ruijuan Liu and Yonghong Lan, "Identification and PID Control for a Class of Delay Fractional-order Systems," IEEE/CAA J. Autom. Sinica, vol. 3, no. 4, pp. 463-476, Oct. 2016.

Citation:

PDF( 5110 KB)

Identification and PID Control for a Class of Delay Fractional-order Systems

1.
School of Information Science and Engineering, Huaqiao University, Xiamen 361021, China
2.
Institute for Intelligent Systems, the University of Johannesburg, Johannesburg 2146, South Africa
3.
School of Applied Mathematics, Xiamen University of Technology, Xiamen 361021, China
4.
School of Information Engineering, Xiangtan University, Xiangtan 411105, China

Funds:

National Natural Science Foundation of China 61403149, 6157329

Natural Science Foundation of Fujian Province 2015J01261, 2016J05165

Foundation of Huaqiao University Z14Y0002

More Information

Author Bio:
Qingguo Wang received the B. Eng. degree in chemical engineering in 1982, M. Eng. degree in 1984 and Ph. D. degree in 1987 both in industrial automation, all from Zhejiang University, China, respectively. He held Alexander-von-Humboldt Research Fellowship of Germany from 1990 to 1992. From 1992 to 2015, he was with the Department of Electrical and Computer Engineering of the National University of Singapore, where he became a full professor in 2004. He has published over 250 international journal papers and 6 books. He received nearly 1 1000 citations with h-index of 58. He is currently a distinguished professor with the Institute for Intelligent Systems, University of Johannesburg, South Africa. His present research interests include modeling, estimation, prediction, control, optimization and automation for complex systems, including but not limited to, industrial and environmental processes, new energy devices, defense systems, medical engineering, and financial markets.(e-mail: wangq@uj.ac.za)

Ruijuan Liu received the Ph. D. degree in control theory and control engineering from Central South University, China in 2014. She was a visiting scholar at the University of South Wales. She is currently a lecturer at the School of Applied Mathematics, Xiamen University of Technology, China. Her research interests include robust control, nonlinear control, and disturbance rejection.(e-mail: liuruijuan0313@163.com)

Yonghong Lan received the B. S. and M. S. degrees in applied mathematics from Xiangtan University, Xiangtan, China in 1999 and 2004, respectively; and the Ph. D. degree in control theory and control engineering from Central South University, Changsha, China in 2010. He is currently an assistant professor at the School of Information Engineering, Xiangtan University, Xiangtan, China. His current research interests include fractional order control systems.(e-mail: yhlan@xtu.edu.cn)
Corresponding author: Zhuoyun Nie received the Ph. D. degree in control theory and control engineering from Central South University, China in 2012. He was a visiting scholar at the National University of Singapore. He is currently a lecturer at the School of Information Engineering, Huaqiao University, China. His research interests include robust control, process identification, internet of things, and financial forecasting. Corresponding author of this paper.(e-mail: yezhuyun2004@sina.com)
Received Date: 2015-08-20
Revised Date: 2016-02-18

Abstract

Abstract

In this paper, a new model identification method is developed for a class of delay fractional-order system based on the process step response. Four characteristic functions are defined to characterize the features of the normalized fractionalorder model. Based on the time scaling technology, two identification schemes are proposed for parameters' estimation. The scheme one utilizes three exact points on the step response of the process to calculate model parameters directly. The other scheme employs optimal searching method to adjust the fractional order for the best model identification. The proposed two identification schemes are both applicable to any stable complex process, such as higher-order, under-damped/over-damped, and minimum-phase/nonminimum-phase processes. Furthermore, an optimal PID tuning method is proposed for the delay fractionalorder systems. The requirements on the stability margins and the negative feedback are cast as real part constraints (RPC) and imaginary part constraints (IPC). The constraints are implemented by trigonometric inequalities on the phase variable, and the optimal PID controller is obtained by the minimization of the integral of time absolute error (ITAE) index. Identification and control of a Titanium billet heating process is given for the illustration.
- Fractional-order system,
- time delay,
- identification,
- PID control,
- Titanium billet heating furnace

FullText(HTML)

References(26)

References

[1]	Zhao C N, Xue D Y, Chen Y Q. A fractional order PID tuning algorithm for a class of fractional order plants. In:Proceedings of the 2005 IEEE International Conference Mechatronics and Automation. Canada:IEEE, 2005. 216-221
[2]	Manabe S. A suggestion of fractional-order controller for flexible spacecraft attitude control. Nonlinear Dynamics, 2002, 29(1-4):251-268 http://cn.bing.com/academic/profile?id=121642006&encoded=0&v=paper_preview&mkt=zh-cn
[3]	Torvik P J, Bagley R L. On the appearance of the fractional derivative in the behavior of real materials. Journal of Applied Mechanics, 1984, 51(2):294-298 doi: 10.1115/1.3167615
[4]	Nakagawa M, Sorimachi K. Basic characteristics of a fractance device. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 1992, E75-A(12):1814-1819 http://cn.bing.com/academic/profile?id=1734093257&encoded=0&v=paper_preview&mkt=zh-cn
[5]	Özbay H, Bonnet C, Fioravanti A R. PID controller design for fractional-order systems with time delays. Systems and Control Letters, 2012, 61(1):18-23 doi: 10.1016/j.sysconle.2011.09.011
[6]	Caponetto R, Dongola G, Pappalardo F L, Tomasello V. Autotuning method for PIλDμ controllers design. International Journal of Innovative Computing, Information and Control, 2013, 9(10):4043-4055
[7]	Caponetto R, Dongola G, Pappalardo F, Tomasello V. Auto-tuning and fractional order controller implementation on hardware in the loop system. Journal of Optimization Theory and Applications, 2013, 156(1):141-152 doi: 10.1007/s10957-012-0235-y
[8]	Monje C A, Vinagre B M, Feliu V, Chen Y Q. Tuning and autotuning of fractional order controllers for industry applications. Control Engineering Practice, 2008, 16(7):798-812 doi: 10.1016/j.conengprac.2007.08.006
[9]	Monje C A, Chen Y Q, Vinagre B M, Xue D Y, Feliu-Batlle V. Fractional-Order Systems and Controls:Fundamentals and Applications. London:Springer-Verlag, 2010.
[10]	Tavazoei M S. Time response analysis of fractional-order control systems:a survey on recent results. Fractional Calculus and Applied Analysis, 2014, 17(2):440-461 http://cn.bing.com/academic/profile?id=2061898553&encoded=0&v=paper_preview&mkt=zh-cn
[11]	Luo Y, Zhang T, Lee B, Kang C, Chen Y Q. Fractional-order proportional derivative controller synthesis and implementation for hard-diskdrive servo system. IEEE Transactions on Control Systems Technology, 2014, 22(1):281-289 doi: 10.1109/TCST.2013.2239111
[12]	Oustaloup A, Sabatier J, Lanusse P, Malti R, Melchior P, Moreau X, Moze M. An overview of the crone approach in system analysis, modeling and identification, observation and control. In:Proceedings of the 17th IFAC World Congress. COEX, Korea, South:IFAC, 2008. 14254-14265
[13]	Mathieu B, Le Lay L, Oustaloup A. Identification of non integer order systems in the time-domain. In:CESA'96 IMACS Multiconference:Computational Engineering in Systems Applications. 1996. 843-847
[14]	Trigeassou J C, Poinot T, Lin J, Oustaloup A, Levron F. Modeling and identification of a non integer order system. In:Proceedings of the 1999 European Control Conference (ECC). Karlsruhe:IEEE, 1999. 2453-2458
[15]	Poinot T, Trigeassou J C. Identification of fractional systems using an output-error technique. Nonlinear Dynamics, 2004, 38(1-4):133-154 doi: 10.1007/s11071-004-3751-y
[16]	Guevara E, Meneses H, Arrieta O, Vilanova R, Visioli A, Padula F. Fractional order model identification:computational optimization. In:Proceedings of the 20th IEEE Conference on Emerging Technologies and Factory Automation (ETFA). Luxembourg:IEEE, 2015. 1-4
[17]	Hartley T T, Lorenzo C F. Fractional-order system identification based on continuous order-distributions. Signal Processing, 2003, 83(11):2287-2300 doi: 10.1016/S0165-1684(03)00182-8
[18]	Jin C Y, Ryu K H, Sung S W, Lee J, Lee I B. PID auto-tuning using new model reduction method and explicit PID tuning rule for a fractional order plus time delay model. Journal of Process Control, 2014, 24(1):113-128 doi: 10.1016/j.jprocont.2013.11.010
[19]	Narang A, Shah S L, Chen T. Continuous-time model identification of fractional-order models with time delays. IET Control Theory and Applications, 2011, 5(7):900-912 doi: 10.1049/iet-cta.2010.0718
[20]	Luo Y, Chen Y Q, Wang C Y, Pi Y G. Tuning fractional order proportional integral controllers for fractional order systems. Journal of Process Control, 2010, 20(7):823-831 doi: 10.1016/j.jprocont.2010.04.011
[21]	Wang Y G, Shao H H. PID autotuner based on gain- and phasemargin specifications. Industrial and Engineering Chemistry Research, 1999, 38(8):3007-3012 doi: 10.1021/ie9808007
[22]	Ho W K, Lee T H, Gan O P. Tuning of multiloop proportional-integralderivative controllers based on gain and phase margin specifications. Industrial and Engineering Chemistry Research, 1997, 36(6):2231-2238 doi: 10.1021/ie960732t
[23]	Li K Y. PID tuning for optimal closed-loop performance with specified gain and phase margins. IEEE Transactions on Control Systems Technology, 2013, 21(3):1024-1030 doi: 10.1109/TCST.2012.2198479
[24]	Fung H W, Wang Q G, Lee T H. PI tuning in terms of gain and phase margins. Automatica, 1998, 34(9):1145-1149 doi: 10.1016/S0005-1098(98)80001-0
[25]	Li M D, Li D H, Wang J, Zhao C Z. Active disturbance rejection control for fractional-order system. ISA Transactions, 2013, 52(3):365-374 doi: 10.1016/j.isatra.2013.01.001
[26]	Lv Y, Wu M, Lei Q, Nie Z Y. Soft sensor based on a Pso-Bp neural network for a titanium billet furnace-temperature. Intelligent Automation and Soft Computing, 2011, 17(8):1207-1216 doi: 10.1080/10798587.2011.10643222

Supplements(0)

Cited By

Proportional views

Proportional views

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Figures(18) / Tables(8)

Get Citation

PDF

XML

Article Metrics

Article views (1306) PDF downloads(28)

Identification and PID Control for a Class of Delay Fractional-order Systems

Abstract

References

Proportional views

Catalog

通讯作者: 陈斌, bchen63@163.com

Article Metrics

Export File

Citation

Format

Content