×

Robust fault estimation of discrete-time nonlinear plants via a comprehensive partition-based switching scheme. (English) Zbl 1525.93074

Summary: The problem of robust fault estimation (FE) for a class of nonlinear systems in discrete-time domain is studied via proposing a comprehensive partition-based switching scheme. Both enhancement factors and attenuation factors are designed synchronously for accomplishing a comprehensive partition of the entire space spanned by the considered normalized fuzzy weighting functions. Thanks to the proposed comprehensive partition-based switching scheme, six subspaces would be obtained by identifying the real-time permutation order of the underlying parameters. Therefore, a novel fuzzy FE observer with six kinds of switching modes can be on-line implemented. As a result, the robust \(H_\infty\) performance index can be enhanced since much more information is employed than those reported results. Finally, simulation comparisons over the existing results are provided to show the obtained advantages of the article.
{© 2020 John Wiley & Sons, Ltd.}

MSC:

93B36 \(H^\infty\)-control
93C55 Discrete-time control/observation systems
93C10 Nonlinear systems in control theory
93C42 Fuzzy control/observation systems
Full Text: DOI

References:

[1] LongL. Multiple Lyapunov functions‐based adaptive neural network tracking control of uncertain switched nonlinear systems. Int J Robust Nonlinear Control. 2019;29(13):4577‐4593. · Zbl 1426.93296
[2] LiangH, ZhangL, KarimiHR. Fault estimation for a class of nonlinear semi‐Markovian jump systems with partly unknown transition rates and output quantization. Int J Robust Nonlinear Control. 2018;28(18):5962‐5980. · Zbl 1405.93207
[3] MaoQ, DouL, TianB, ZongQ. Reentry attitude control for a reusable launch vehicle with aeroservoelastic model using type‐2 adaptive fuzzy sliding mode control. Int J Robust Nonlinear Control. 2019;29(8):5858‐5875. · Zbl 1405.93061
[4] SunS, RenT, WeiX. Composite DOBC with fuzzy fault‐tolerant control for stochastic systems with unknown nonlinear dynamics. Int J Robust Nonlinear Control. 2019;29(8):6605‐6615. · Zbl 1447.93197
[5] TakagiT, SugenoM. Fuzzy identification of systems and its applications to modeling and control. IEEE Trans Syst Man Cybern. 1985;15(1):116‐132. · Zbl 0576.93021
[6] WenS, HuangT, YuX, ChenM, ZengZ. Aperiodic sampled‐data sliding‐mode control of fuzzy systems with communication delays via the event‐triggered method. IEEE Trans Fuzzy Syst. 2016;24(5):1048‐1057.
[7] LiuJ, WeiL, XieX, TianE, FeiS. Quantized stabilization for T‐S fuzzy systems with hybrid‐triggered mechanism and stochastic cyber‐attacks. IEEE Trans Fuzzy Syst. 2018;26(6):3820‐3834.
[8] ZhangX‐M, HanQ‐L, GeX. A novel finite‐sum inequality‐based method for robust control of uncertain discrete‐time Takagi‐Sugeno fuzzy systems with interval‐like time‐varying delays. IEEE Trans Cybern. 2018;48(9):2569‐2582.
[9] ChangX, YangG‐H. Nonfragile H_∞ filter design for T‐S fuzzy systems in standard form. IEEE Trans Ind Electron. 2014;61(7):3448‐3458.
[10] ZhangD, CaiW, XieL, WangQ. Nonfragile distributed filtering for T‐S fuzzy systems in sensor networks. IEEE Trans Fuzzy Syst. 2015;23(5):1883‐1890.
[11] SuX, WenY, ShiP, WuL, LamH‐K. Event‐triggered fuzzy filtering for nonlinear dynamic systems via reduced‐order approach. IEEE Trans Fuzzy Syst. 2019;27(6):1215‐1225.
[12] LiF, ShiP, LimC‐C, WuL. Fault detection filtering for nonhomogeneous markovian jump systems via a fuzzy approach. IEEE Trans Fuzzy Syst. 2018;26(1):131‐141.
[13] WeiY, QiuJ, ShiP, WuL. A piecewise‐markovian Lyapunov approach to reliable output feedback control for fuzzy‐affine systems with time‐delays and actuator faults. IEEE Trans Cybern. 2018;48(9):2723‐2735.
[14] WangY‐L, HanQ‐L, FeiM‐R, PengC. Network‐based T‐S fuzzy dynamic positioning controller design for unmanned marine vehicles. IEEE Trans Cybern. 2018;48(9):2759‐2763.
[15] WangL‐K, LamH‐K. New stability criterion for continuous‐time Takagi‐Sugeno fuzzy systems with time‐varying selay. IEEE Trans Cybern. 2019;49(4):1551‐1556.
[16] LiuJ, YangM, XieX, PengC, YanH. Finite‐time H_∞ filtering for state‐dependent uncertain systems with event‐triggered mechanism and multiple attacks. IEEE Trans Circ Syst I Reg Pap. 2019;67(3):1021‐1034. https://doi.org/10.1109/TCSI.2019.2949014. · Zbl 1468.93170 · doi:10.1109/TCSI.2019.2949014
[17] OliveiraRCLF, PeresPLD. Parameter‐dependent LMIs in robust analysis: characterization of homogeneous polynomially parameter‐dependent solutions via LMI relaxations. IEEE Trans Automat Control. 2007;52(7):1334‐1340. · Zbl 1366.93472
[18] DingBC. Homogeneous polynomially nonquadratic stabilization of discrete‐time Takagi‐Sugeno systems via nonparallel distributed compensation law. IEEE Trans Fuzzy Syst. 2010;18(5):994‐1000.
[19] XieX, MaH, ZhaoY, DingD, WangY. Control synthesis of discrete‐time T‐S fuzzy systems based on a novel Non‐PDC control scheme. IEEE Trans Fuzzy Syst. 2013;21(1):147‐157.
[20] XieX, YueD, ZhangH, XueY. Control synthesis of discrete‐time T‐S fuzzy systems via a multi‐instant homogenous polynomial approach. IEEE Trans Cybern. 2016;46(3):630‐640.
[21] XieX, YueD, ZhangH, PengC. Control synthesis of discrete‐time T‐S fuzzy systems: reducing the conservatism whilst alleviating the computational burden. IEEE Trans Cybern. 2017;47(9):2480‐2491.
[22] DingSX. Model‐Based Fault Diagnosis Techniques: Design Schemes, Algorithms, and Tools. Berlin, Germany: Springer; 2008.
[23] ZhangK, JiangB, ShiP. Observer‐based integrated robust fault estimation and accommodation design for discrete‐time systems. Int J Control. 2010;83(6):1167‐1181. · Zbl 1222.93219
[24] JiangJ, YuX. Fault‐tolerant control systems: a comparative study between active and passive approaches. Ann Rev Control. 2012;36(1):60‐72.
[25] ChenJ, ChuH, FanQ. Fault estimation observer design for a class of nonlinear multiagent systems in finite‐frequency domain. Int J Robust Nonlinear Control. 2019;29(10):2777‐2798. · Zbl 1418.93007
[26] YangG‐H, WangH. Fault detection and isolation for a class of uncertain state‐feedback fuzzy control systems. IEEE Trans Fuzzy Syst. 2015;23(1):139‐151.
[27] LiH, GaoY, WuL, LamHK. Fault detection for T‐S fuzzy time‐delay systems: delta operator and input‐output methods. IEEE Trans Cybner. 2015;45(2):229‐241.
[28] TianE, WangZ, ZouL, YueD. Probabilistic‐constrained filtering for a class of nonlinear systems with improved static event‐triggered communication. Int J Robust Nonlinear Control. 2019;29(5):1484‐1498. · Zbl 1410.93130
[29] DongH, HouN, WangZ. Finite‐horizon fault estimation under imperfect measurements and stochastic communication protocol: dealing with finite‐time boundedness. Int J Robust Nonlinear Control. 2019;29(1):117‐134. · Zbl 1411.93173
[30] ZhangK, JiangB, ShiP. Integrated fault estimation and accommodation design for discrete‐time Takagi‐Sugeno fuzzy systems with actuator faults. IEEE Trans Fuzzy Syst. 2011;19(2):291‐304.
[31] DingD‐W, YangG‐H. Fuzzy filter design for nonlinear systems in finite‐frequency domain. IEEE Trans Fuzzy Syst. 2010;18(5):935‐945.
[32] YangH, XiaY, LiuB. Fault detection for T‐S fuzzy discrete systems in finite‐frequency domain. IEEE Trans Syst Man Cybern B Cybern. 2011;41(4):911‐920.
[33] LiX, YangG‐H. Fault detection in finite frequency domain for Takagi‐Sugeno fuzzy systems with sensor faults. IEEE Trans Cybern. 2014;44(8):1446‐1458.
[34] ZhangK, JiangB, ShiP, XuJ. Analysis and design of robust H_∞ fault estimation observer with finite‐frequency specifications for discrete‐time fuzzy systems. IEEE Trans Cybern. 2015;45(10):1225‐1235.
[35] ZhangK, JiangB, ShiP. Fault estimation observer design for discrete‐time Takagi‐Sugeno fuzzy systems based on piecewise Lyapunov functions. IEEE Trans Fuzzy Syst. 2012;20(1):192‐200.
[36] FengG. Controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions. IEEE Trans Fuzzy Syst. 2003;11(5):605‐612.
[37] XieX, YueD, ZhangH, XueY. Fault estimation observer design for discrete‐time Takagi‐Sugeno fuzzy systems based on homogenous polynomially parameter‐dependent Lyapunov functions. IEEE Trans Cybern. 2017;47(9):2504‐2513.
[38] XieX, YueD, ParkJ‐H. Observer‐based fault estimation for discrete‐time nonlinear systems and its application: a weighted switching approach. IEEE Trans Circ Syst I Reg Pap. 2019;66(11):4377‐4387. · Zbl 1468.93110
[39] DingD‐W, YangG‐H. Fuzzy filter design for nonlinear systems in finite‐frequency domain. IEEE Trans Fuzzy Syst. 2010;18(5):935‐945.
[40] FuJ, MaR, ChaiT. Finite‐time stabilization of a class of uncertain nonlinear systems via logic‐based switchings. IEEE Trans Automat Control. 2017;62(11):5998‐6003. · Zbl 1390.93682
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.