Robust fault detection for delta operator switched fuzzy systems with bilateral packet losses

doi:10.23919/JSEE.2023.000025

Journal of Systems Engineering and Electronics ›› 2023, Vol. 34 ›› Issue (1): 214-223.doi: 10.23919/JSEE.2023.000025

• CONTROL THEORY AND APPLICATION • Previous Articles Next Articles

Robust fault detection for delta operator switched fuzzy systems with bilateral packet losses

Yamin FAN(), Duanjin ZHANG()

¹ School of Information Engineering, Zhengzhou University, Zhengzhou 450001, China

Received:2021-05-26 Online:2023-02-18 Published:2023-03-03
Contact: Duanjin ZHANG E-mail:fym_123926@163.com;djzhang@zzu.edu.cn
About author:
FAN Yamin was born in 1996. She received her B.S. degree from Henan University of Technology, China, in 2018. She is currently pursuing her M.S. degree in information and communication engineering at Zhengzhou University. Her research interests include fault detection, networked control systems, and Takagi-Sugeno (T-S) fuzzy model. E-mail: fym_123926@163.com

ZHANG Duanjin was born in1966. He received his B.S. degree from Northeastern University, China, in 1986 and Ph.D. degree from Nanjing University of Science and Technology in 1998 in electrical engineering. He was the postdoctoral fellow with South China University of Technology from 1999 to 2001. He was with the Institute for Automatic Control and Complex Systems, University of Duisburg-Essen, Germany from 2005 to 2006 as visiting scholar. He is currently a professor with the School of Information Engineering, Zhengzhou University, China. His research interests include fault detection, networked control systems and signal processing. E-mail: djzhang@zzu.edu.cn
Supported by:
This work was supported by the National Natural Science Foundation of China (61471323)

Abstract

Abstract:

Considering packet losses, time-varying delay, and parameter uncertainty in the switched fuzzy system, this paper designs a robust fault detection filter at any switching rate and analyzes the H_∞ performance of the system. Firstly, the Takagi-Sugeno (T-S) fuzzy model is used to establish a global fuzzy model for the uncertain nonlinear time-delay switched system, and the packet loss process is modeled as a mathematical model satisfying Bernoulli distribution. Secondly, through the average dwell time method and multiple Lyapunov functions, the exponentially stable condition of the nonlinear network switched system is given. Finally, specific parameters of the robust fault detection filter can be obtained by solving linear matrix inequalities (LMIs). The effectiveness of the method is verified by simulation results.

Key words: switched fuzzy system, robust fault detection, time-varying delay, bilateral packet losses, uncertainty, average dwell time method

Yamin FAN, Duanjin ZHANG. Robust fault detection for delta operator switched fuzzy systems with bilateral packet losses[J]. Journal of Systems Engineering and Electronics, 2023, 34(1): 214-223.

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References 22

1	WALSH G C, YE H, BUSHENLL L G Stability analysis of networked control systems. Proc. of the American Control Conference, 1999, 2876- 2880.
2	MAO Z H, PAN Y F, JIANG B, et al Fault detection for a class of nonlinear networked control systems with communication constraints. International Journal of Control Automation and Systems, 2018, 16 (1): 256- 264. doi: 10.1007/s12555-017-0258-0
3	LIAN B S, ZHANG Q L, LI J N Integrated sliding mode control and neural networks based packet disordering prediction for nonlinear networked control systems. IEEE Trans. on Neural Networks and Learning Systems, 2019, 30 (8): 2324- 2335. doi: 10.1109/TNNLS.2018.2873183
4	WANG Z, SUN J, BAI Y Q Stability analysis of event-triggered networked control systems with time-varying delay and packet loss. Journal of Systems Science and Complexity, 2021, 34 (1): 265- 280. doi: 10.1007/s11424-020-9299-1
5	SONG Z B, LI P, WANG Z, et al Adaptive tracking control for switched uncertain nonlinear systems with input saturation and unmodeled dynamics. IEEE Trans. on Circuits and Systems Ⅱ: Express Briefs, 2020, 67 (12): 3152- 3156.
6	ZHANG M, SHI P, SHEN C, et al Static output feedback control of switched nonlinear systems with actuator faults. IEEE Trans. on Fuzzy Systems, 2020, 28 (8): 1600- 1609. doi: 10.1109/TFUZZ.2019.2917177
7	JOUILI K Robust stabilization of non-minimum phase switched nonlinear systems with uncertainty. Journal of Systems Science & Complexity, 2020, 33 (2): 33- 55.
8	WU Z G, DONG S L, SHI P, et al Reliable filter design of Takagi-Sugeno fuzzy switched systems with imprecise modes. IEEE Trans. on Cybernetics, 2020, 50 (5): 1941- 1951.
9	SHI S, FEI Z Y, WANG T, et al Filtering for switched T-S fuzzy systems with persistent dwell time. IEEE Trans. on Cybernetics, 2019, 49 (5): 1923- 1931. doi: 10.1109/TCYB.2018.2816982
10	LI S, AHN C K, XIANG Z R Sampled-data adaptive output feedback fuzzy stabilization for switched nonlinear systems with asynchronous switching. IEEE Trans. on Fuzzy Systems, 2019, 27 (1): 200- 205. doi: 10.1109/TCYB.2018.2885505
11	SUN J Y, ZHANG H G, WANG Y C, et al Dissipativity analysis on switched uncertain nonlinear T-S fuzzy systems with stochastic perturbation and time delay. Journal of the Franklin Institute, 2020, 357 (18): 13410- 13429. doi: 10.1016/j.jfranklin.2020.09.036
12	SHI S, FEI Z Y, SHI P, et al Asynchronous filtering for discrete-time switched T-S fuzzy systems. IEEE Trans. on Fuzzy Systems, 2020, 28 (8): 1531- 1541. doi: 10.1109/TFUZZ.2019.2917667
13	FEI Z Y, SHI S, WANG T, et al Improved stability criteria for discrete-time switched T-S fuzzy systems. IEEE Trans. on Cybernetics, 2021, 51 (2): 712- 720.
14	DIMIROVSKI G M, LIU Y, ZHAO J Intelligent control of uncertain switched nonlinear plants: output-feedback control of switched fuzzy time-delay systems revisited. Proc. of the IEEE 8th International Conference on Intelligent Systems, 2016, 394- 401.
15	YANG H J, XIA Y Q, SHI P, et al. Analysis and synthesis of delta operator systems. Berlin: Springer, 2012.
16	HU H, LIU J L Fault-tolerant control of delta operator switched linear systems with sensor faults based on dynamic output feedback. Proc. of the 29th Chinese Control and Decision Conference, 2017, 4182- 4186.
17	QIN C, XIANG Z R, KARIMI H R Robust H-infinity reliable control for delta operator switched systems with time-varying delays under asynchronous switching. Transactions of the Institute of Measurement and Control, 2015, 37 (2): 219- 229. doi: 10.1177/0142331214537295
18	PARK J H, MATHIYALAGAN K, SAKTHIVEL R Fault estimation for discrete-time switched nonlinear systems with discrete and distributed delays. International Journal of Robust and Nonlinear Control, 2016, 26 (17): 3755- 3771. doi: 10.1002/rnc.3532
19	ZHANG D, YU L, ZHANG W A Delay-dependent fault detection for switched linear systems with time-varying delays−the average dwell time approach. IEEE Trans. on Signal Processing, 2011, 91 (4): 832- 840.
20	YU L. Robust control-linear matrix inequality method. Beijing: Tsinghua University Press, 2002.
21	LIU Y, MEI Y P, LI G Y, et al Non-fragile H_∞ control of multi-time delay nonlinear network switching control system based on T-S fuzzy model . Control and Decision, 2021, 36 (5): 1087- 1094.
22	ZHANG L, LI Y A, YANG H, et al Output feedback H_∞ control for a class of switched fuzzy systems based on LMI . Proc. of the 28th Chinese Control and Decision Conference, 2016, 2219- 2224.

Delay	$ {\theta _m} $	$ {\theta _M} $	$ {\gamma _{\min }} $
$\theta (k) = 1 + [1 + {( - 1)^k}]/2$	1	2	1.135
$\theta (k) = 2 + {\rm{sin} }(\text{π} k)$	1	3	1.157
$\theta (k) = 3 + \sin \left({\text{π} }k/{2}\right)$	2	4	1.180

Parameter	$ 1 - {\beta _1} $
Parameter	0.1	0.2	0.3	0.38
$ {\gamma _{\min }} $	1.1243	1.1308	1.1588	No feasible solution

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Robust fault detection for delta operator switched fuzzy systems with bilateral packet losses

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