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Robust fault estimation for T-S fuzzy systems with intermittently sampled data based on finite information learning observer. (English) Zbl 07843570

Summary: In this article, we study the problem of robust fault estimation for a class of T-S fuzzy systems with time delays and external disturbances based on the finite information learning observer. The learning observer with intermittent sampling is constructed and the change rate of output estimation error is introduced to estimate the system fault effectively. At the same time, by introducing a generalized inverse matrix to the designed observer, a sufficient condition for the stability of the error estimation system is given by using fuzzy Lyapunov function, which not only solves the problem of system fault and external disturbance estimation, but also reduces the conservatism of the obtained conclusion. Finally, the results described by LMI are solved numerically and simulated to demonstrate the effectiveness of the proposed method.
© 2023 John Wiley & Sons Ltd.

MSC:

93C42 Fuzzy control/observation systems
93B53 Observers
93C57 Sampled-data control/observation systems
Full Text: DOI

References:

[1] JiaQX, ChenW, JinY, ZhangYC, LiHY. A new strategy for fault estimation in Takagi‐Sugeno fuzzy systems via a fuzzy learning observer. Proceedings of the World Congress on Intelligent Control and Automation (WCICA). Vol 2015. Institute of Electrical and Electronics Engineers Inc; 2015:3228‐3233.
[2] Martínez GarcíaC, PuigV, Astorga‐ZaragozaC, Osorio‐GordilloGL. Robust fault estimation based on interval Takagi‐Sugeno unknown input observer. IFAC‐PapersOnLine. 2018;51(24):508‐514.
[3] WangXD, FeiZY, WangT, YangL. Dynamic event‐triggered actuator fault estimation and accommodation for dynamical systems. Inf Sci. 2020;525:119‐133. · Zbl 1461.93321
[4] DongJX, WuY, YangGH. A new sensor fault isolation method for T-S fuzzy systems. IEEE Trans Cybern. 2017;47(9):2437‐2447.
[5] DimassiH. A novel fault reconstruction and estimation approach for a class of systems subject to actuator and sensor faults under relaxed assumptions. ISA Trans. 2020;111(4):192‐210.
[6] WangY, LiTS, YueW, et al.
[( {L}_{\infty } \]\) fault estimation and fault‐tolerant control for nonlinear systems by T-S fuzzy model method with local nonlinear models. Int J Fuzzy Syst. 2021;23(1):1714‐1727.
[7] YouFQ, ChengSY, ZhangXY, ChenN. Robust fault estimation for Takagi‐Sugeno fuzzy systems with state time‐varying delay. Int J Adapt Control Signal Process. 2019;34(2):141‐150. · Zbl 1467.93087
[8] SunSX, WangYC, ZhangHG, XieXP. A new method of fault estimation and tolerant control for fuzzy systems against time‐varying delay. Nonlinear Anal‐Hybrid Syst. 2020;38(17):100942. · Zbl 1478.93353
[9] OueslatiFE, AllousM, ZanzouriN. Fast fault estimation and fault tolerant control using adaptive observer. 2019 International Conference on Signal, Control and Communication (SCC). Vol 2019. IEEE; 2019:196‐201.
[10] FazeliS, AbediM. An integrated fault estimation and fault tolerant control method using
[( {H}_{\infty } \]\)‐based adaptive observers. Int J Adapt Control Signal Process. 2020;34(9):1259‐1280. · Zbl 1467.93172
[11] DongJX, YangGH. Reliable state feedback control of T-S fuzzy systems with sensor faults. IEEE Trans Fuzzy Syst. 2015;23(2):421‐433.
[12] LiXH, ZhuFL. Simultaneous actuator and sensor fault estimation for descriptor LPV system based on
[( {H}_{\infty } \]\) reduced‐order observer. Optim Control Appl Methods. 2015;37(6):1122‐1138. · Zbl 1351.93144
[13] Zetina RiosI, Osorio‐GordilloGL, Vargas MendezRA, Madrigal‐EspinosaG, Astorga‐ZaragozaC. Actuator fault estimation based on generalized learning observer for quasi‐linear parameter varying systems. Int J Adapt Control Signal Process. 2021;35(5):828‐845. · Zbl 1543.93102
[14] HassanabadiA, PourdadashiF, ShafieeM, PuigV. Simultaneous actuator and sensor fault reconstruction of singular delayed linear parameter varying systems in the presence of unknown time varying delays and inexact parameters. Int J Adapt Control Signal Process. 2022;36(12):3043‐3065. · Zbl 07842385
[15] ChengP, CaiCX, LiuJ, SongXQ. Integrated fault estimation and fault tolerant control for a class of uncertain Lipschitz systems with time‐delays in finite frequency domain. J Frankl Inst. 2021;358(2):7714‐7739. · Zbl 1472.93027
[16] LanJL, PattonR. Integrated fault estimation and fault‐tolerant control for uncertain Lipschitz nonlinear systems. Int J Robust Nonlinear Control. 2016;27(5):761‐780. · Zbl 1359.93127
[17] LiJ, HuangSJ. Integrated observer based fault estimation for a class of Lipschitz nonlinear systems. Int J Robust Nonlinear Control. 2020;30(14):5678‐5692. · Zbl 1465.93077
[18] Haj BrahimI, MohamedC, MehdiD. Fault‐tolerant control for T-S fuzzy descriptor systems with sensor faults: an LMI approach. Int J Fuzzy Syst. 2016;19(2):516‐527.
[19] KharratD, GassaraH, El HajjajiA, MohamedC. Adaptive fuzzy observer‐based fault‐tolerant control for Takagi-Sugeno descriptor nonlinear systems with time delay. Circuits Syst Signal Process. 2018;37(2):1542‐1561. · Zbl 1418.93146
[20] ZhengW, WangHB, WangHR, ZhangZM. Dynamic output feedback control with output quantizer for nonlinear uncertain T‐S fuzzy systems with multiple time‐varying input delays and unmatched disturbances. Asian J Control. 2019;22(5):1901‐1918. · Zbl 07879302
[21] DongJX, HouQH, RenMM. Control synthesis for discrete‐time T-S fuzzy systems based on membership function‐dependent
[( {H}_{\infty } \]\) performance. IEEE Trans Fuzzy Syst. 2020;28(12):3360‐3366.
[22] Ahmed‐AliT, TielsK, SchoukensM, GiriF. Sampled‐data adaptive observer for state‐affine systems with uncertain output equation. Automatica. 2019;103:96‐105. · Zbl 1415.93163
[23] ZhouN, ChiPF, ZhuKB, LuJY. Observer‐based sampled‐data control for a class of nonlinear systems. 2022 41st Chinese Control Conference (CCC). IEEE Computer Society; 2022:480‐485.
[24] CunyF, LajouadR, GiriF, Ahmed‐AliT, Van AsscheV. Sampled‐data observer design for delayed output‐injection state‐affine systems. Int J Control. 2019;93(12):2949‐2959. · Zbl 1454.93154
[25] ZhangJ, XinXS, XuHB. Sampled‐data output feedback control of a class of uncertain nonlinear systems. Int J Control Autom Syst. 2013;11:175‐181.
[26] MaoJ, XiangZR, ZhaiGS. Sampled‐data output feedback stabilization for a class of switched stochastic nonlinear systems. Int J Robust Nonlinear Control. 2019;29(10):2844‐2861. · Zbl 1418.93222
[27] VuVP, WangWJ. State/Disturbance observer and controller synthesis for the T-S fuzzy system with an enlarged class of disturbances. IEEE Trans Fuzzy Syst. 2018;26(6):3645‐3659.
[28] TanakaK, HoriT, WangH. A multiple Lyapunov function approach to stabilization of fuzzy control systems. IEEE Trans Fuzzy Syst. 2003;11(4):582‐589.
[29] MuYF, ZhangHG, RenH, CaiYL. Fuzzy adaptive observer‐based fault and disturbance reconstructions for T‐S fuzzy systems. IEEE Trans Circuits Syst II Exp Briefs. 2021;68(7):2453‐2457.
[30] HanJ, ZhangHG, WangYC, LiuXH. Robust fault estimation and accommodation for a class of T-S fuzzy systems with local nonlinear models. Circuits Syst Signal Process. 2016;35:3506‐3530. · Zbl 1346.93073
[31] TengC, Hua‐JunG, PengC, Yi‐XuanX. A novel learning observer‐based fault‐tolerant attitude control for rigid spacecraft. Aerosp Sci Technol. 2022;128:107751.
[32] JunZ, Yong‐FengL. Output‐feedback robust tracking control of uncertain systems via adaptive learning. Int J Control Autom Syst. 2023;21:1108‐1118.
[33] JiaQX, ChenW, ZhangYC, LiHY. Fault reconstruction and fault‐tolerant control via learning observers in Takagi-Sugeno fuzzy descriptor systems with time delays. IEEE Trans Ind Electron. 2015;62(6):3885‐3895.
[34] WangP, ZhangYC, JiaQX, ChenW. Design of a PD‐type learning observer for reconstruction of actuator faults in descriptor systems. IET Control Theory Appl. 2016;11(1):17‐24.
[35] ZhangCX, WuJ, AhnCK, FeiZY, WeiCS. Learning observer and performance tuning based robust consensus policy for multi‐agent systems. IEEE Syst J. 2020;16(1):431‐439.
[36] YouFQ, WangC. Robust fault estimation based on proportional differential (PD) learning observer for linear continuous‐time systems with state time‐varying delay. Int J Control Autom Syst. 2022;20:58‐72.
[37] ChenW, LinF, WangLY. Simultaneous detection and estimation of false data injection attacks in cyber‐physical battery systems using a learning observer. International Conference on Control, Automation and Diagnosis (ICCAD). Institute of Electrical and Electronics Engineers Inc; 2023:1‐5.
[38] RanDC, ZhangCX, XiaoB. Limited‐information learning observer for simultaneous estimation of states and parameters. Int J Robust Nonlinear Control. 2021;32(5):2780‐2790. · Zbl 1527.93262
[39] FuXJ, HeJH. Robust adaptive control for robot manipulators trajectory tracking based on iterative learning observer with time‐delay. Proc Bulgarian Acad Sci. 2022;75(6):861‐872.
[40] JiaQX, LiHY, LiM. Robust actuator fault reconstruction for Takagi‐Sugeno fuzzy systems with unknown input via a synthesized learning and sliding‐mode observer. Asian J Control. 2023;25(4):2720‐2735. · Zbl 07889186
[41] KharratD, GassaraH, El hajjajiA, MohamedC. Learning observer‐based robust
[( {H}_{\infty } \]\) fault‐tolerant control for Takagi‐Sugeno descriptor systems with time‐delay. 26th Mediterranean Conference on Control and Automation (MED). IEEE; 2018:1‐9.
[42] JiaQX, WuLN, LiHY. Robust actuator fault reconstruction for Takagi‐Sugeno fuzzy systems with time‐varying delays via a synthesized learning and Luenberger observer. Int J Control Autom Syst. 2020;19:799‐809.
[43] YouFQ, ChengSY, TianK, ZhangXY. Robust fault estimation based on learning observer for Takagi‐Sugeno fuzzy systems with interval time‐varying delay. Int J Adapt Control Signal Process. 2019;34(1):92‐109. · Zbl 1451.93080
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