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Xiao, Shuyi; Dong, Jiuxiang

Adaptive fault-tolerant control for a class of uncertain T-S fuzzy systems with guaranteed time-varying performance. (English) Zbl 1465.93129

Fuzzy Sets Syst. 385, 1-19 (2020).
Summary: This paper is concerned with the problem of adaptive fault-tolerant control with guaranteed time-varying performance for a class of T-S fuzzy systems subject to parameter uncertainties and actuator faults. Different from the existing adaptive fault-tolerant prescribed performance results, the proposed control method which provides more design degrees of freedom can be applied to more general nonlinear systems. By introducing two step backstepping like method and the generalized restrict potential function, the adaptive controller guaranteeing a-priori, user-defined time-varying performance bounds is constructed in the presence of parameter uncertainties and actuator failures. It is shown that all the signals of the resulting closed-loop systems are bounded and system state can be constrained with a-priori, user-defined time-varying performance bounds. Finally, the effectiveness of the proposed method is verified by simulation results.

Cited in 3 Documents

MSC:

93C42 Fuzzy control/observation systems
93C40 Adaptive control/observation systems

Keywords:

T-S fuzzy systems; adaptive control; fault-tolerant control; actuator failures; guaranteed time-varying performance
PDFBibTeX XMLCite
\textit{S. Xiao} and \textit{J. Dong}, Fuzzy Sets Syst. 385, 1--19 (2020; Zbl 1465.93129)
Full Text: DOI

References:

[1] Dong, J.; Yang, G.-H., Observer-based output feedback control for discrete-time T-S fuzzy systems with partly immeasurable premise variables, IEEE Trans. Syst. Man Cybern. Syst., 47, 1, 98-110 (2017)
[2] Li, Y.; Liu, L.; Feng, G., Adaptive finite-time controller design for T-S fuzzy systems, IEEE Trans. Cybern., 47, 9, 2425-2436 (2017)
[3] Dong, J.; Yang, G.-H., Reliable state feedback control of T-S fuzzy systems with sensor faults, IEEE Trans. Fuzzy Syst., 23, 2, 421-433 (2015)
[4] Hua, C.; Wang, Q.-G.; Guan, X., Robust adaptive controller design for nonlinear time-delay systems via T-S fuzzy approach, IEEE Trans. Fuzzy Syst., 17, 4, 901 (2009)
[5] Dong, J.; Wang, Y.; Yang, G.-H., Output feedback fuzzy controller design with local nonlinear feedback laws for discrete-time nonlinear systems, IEEE Trans. Syst. Man Cybern., Part B, Cybern., 40, 6, 1447-1459 (2010)
[6] Yang, G.; Wang, J.; Soh, Y., Reliable H_∞ controller design for linear systems, Automatica, 37, 5, 717-725 (2001) · Zbl 0990.93029
[7] Shen, Q.; Jiang, B.; Cocquempot, V., Adaptive fuzzy observer-based active fault-tolerant dynamic surface control for a class of nonlinear systems with actuator faults, IEEE Trans. Fuzzy Syst., 22, 2, 338-349 (2014)
[8] Gao, Z., Fault estimation and fault-tolerant control for discrete-time dynamic systems, IEEE Trans. Ind. Electron., 62, 6, 3874-3884 (2015)
[9] Alwi, H.; Edwards, C., Fault tolerant control using sliding modes with on-line control allocation, Automatica, 44, 7, 1859-1866 (2008) · Zbl 1149.93313
[10] Hao, L.-Y.; Yang, G.-H., Robust adaptive fault-tolerant control of uncertain linear systems via sliding-mode output feedback, Int. J. Robust Nonlinear Control, 25, 14, 2461-2480 (2015) · Zbl 1328.93084
[11] Zhang, X.; Parisini, T.; Polycarpou, M. M., Adaptive fault-tolerant control of nonlinear uncertain systems: an information-based diagnostic approach, IEEE Trans. Autom. Control, 49, 8, 1259-1274 (2004) · Zbl 1365.93250
[12] Polycarpou, M. M., Fault accommodation of a class of multivariable nonlinear dynamical systems using a learning approach, IEEE Trans. Autom. Control, 46, 5, 736-742 (2001) · Zbl 1006.93074
[13] Sui, S.; Chen, C. P.; Tong, S., Fuzzy adaptive finite-time control design for nontriangular stochastic nonlinear systems, IEEE Trans. Fuzzy Syst., 27, 1, 172-184 (2019)
[14] Li, Y.; Liu, L.; Feng, G., Robust adaptive output feedback control to a class of non-triangular stochastic nonlinear systems, Automatica, 89, 325-332 (2018) · Zbl 1388.93033
[15] Sui, S.; Chen, C. P.; Tong, S., Neural network filtering control design for nontriangular structure switched nonlinear systems in finite time, IEEE Trans. Neural Netw. Learn. Syst. (2019), to be published
[16] Li, Y.; Ma, Z.; Tong, S., Adaptive fuzzy fault-tolerant control of nontriangular structure nonlinear systems with error constraint, IEEE Trans. Fuzzy Syst., 26, 4, 2062-2074 (2018)
[17] Jin, X., Adaptive fault tolerant control for a class of multi-input multi-output nonlinear systems with both sensor and actuator faults, Int. J. Adapt. Control Signal Process., 31, 10, 1418-1427 (2017) · Zbl 1376.93034
[18] Li, Y.; Ma, Z.; Tong, S., Adaptive fuzzy output-constrained fault-tolerant control of nonlinear stochastic large-scale systems with actuator faults, IEEE Trans. Cybern., 47, 9, 2362-2376 (2017)
[19] Chen, M.; Tao, G., Adaptive fault-tolerant control of uncertain nonlinear large-scale systems with unknown dead zone, IEEE Trans. Cybern., 46, 8, 1851-1862 (2016)
[20] Tong, S.; Huo, B.; Li, Y., Observer-based adaptive decentralized fuzzy fault-tolerant control of nonlinear large-scale systems with actuator failures, IEEE Trans. Fuzzy Syst., 22, 1, 1-15 (2014)
[21] Liu, M.; Ho, D. W.; Shi, P., Adaptive fault-tolerant compensation control for Markovian jump systems with mismatched external disturbance, Automatica, 58, 5-14 (2015) · Zbl 1326.93020
[22] Li, X.-J.; Yang, G.-H., Robust adaptive fault-tolerant control for uncertain linear systems with actuator failures, IET Control Theory Appl., 6, 10, 1544-1551 (2012)
[23] Li, Y.-X.; Yang, G.-H., Robust adaptive fault-tolerant control for a class of uncertain nonlinear time delay systems, IEEE Trans. Syst. Man Cybern. Syst., 47, 7, 1554-1563 (2017)
[24] Jin, X., Adaptive fault-tolerant control for a class of output-constrained nonlinear systems, Int. J. Robust Nonlinear Control, 25, 18, 3732-3745 (2015) · Zbl 1336.93047
[25] Xiao, S.; Dong, J., Robust adaptive fault-tolerant tracking control for uncertain linear systems with actuator failures based on the closed-loop reference model, IEEE Trans. Syst. Man Cybern. Syst. (2019), to be published
[26] Yan, J.-J.; Yang, G.-H.; Li, X.-J., Adaptive fault-tolerant compensation control for T-S fuzzy systems with mismatched parameter uncertainties, IEEE Trans. Syst. Man Cybern. Syst., 99, 1-12 (2018)
[27] Liu, L.; Liu, Y.-J.; Tong, S., Neural networks-based adaptive finite-time fault-tolerant control for a class of strict-feedback switched nonlinear systems, IEEE Trans. Cybern. (2019), to be published
[28] Li, Y.; Sun, K.; Tong, S., Adaptive fuzzy robust fault-tolerant optimal control for nonlinear large-scale systems, IEEE Trans. Fuzzy Syst., 26, 5, 2899-2914 (2018)
[29] Wang, W.; Wen, C., Adaptive actuator failure compensation control of uncertain nonlinear systems with guaranteed transient performance, Automatica, 46, 12, 2082-2091 (2010) · Zbl 1205.93083
[30] Zhai, D.; An, L.; Li, J.; Zhang, Q., Adaptive fuzzy fault-tolerant control with guaranteed tracking performance for nonlinear strict-feedback systems, Fuzzy Sets Syst., 302, 82-100 (2016) · Zbl 1378.93071
[31] Zhang, J.-X.; Yang, G.-H., Prescribed performance fault-tolerant control of uncertain nonlinear systems with unknown control directions, IEEE Trans. Autom. Control, 62, 12, 6529-6535 (2017) · Zbl 1390.93381
[32] Arabi, E.; Gruenwald, B. C.; Yucelen, T.; Nguyen, N. T., A set-theoretic model reference adaptive control architecture for disturbance rejection and uncertainty suppression with strict performance guarantees, Int. J. Control, 91, 5, 1195-1208 (2018) · Zbl 1390.93424
[33] Arabi, E.; Yucelen, T., Set-theoretic model reference adaptive control with time-varying performance bounds, Int. J. Control, 1-12 (2018)
[34] Xiao, S.; Dong, J., Robust adaptive fault-tolerant tracking control for uncertain linear systems with time-varying performance bounds, Int. J. Robust Nonlinear Control, 29, 4, 849-866 (2019) · Zbl 1418.93081
[35] Choi, H. H., Adaptive controller design for uncertain fuzzy systems using variable structure control approach, Automatica, 45, 11, 2646-2650 (2009) · Zbl 1180.93055
[36] Jiang, B.; Staroswiecki, M.; Cocquempot, V., Fault accommodation for nonlinear dynamic systems, IEEE Trans. Autom. Control, 51, 9, 1578-1583 (2006) · Zbl 1366.93694
[37] Tanaka, K.; Ikeda, T.; Wang, H. O., Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, H_∞ control theory, and linear matrix inequalities, IEEE Trans. Fuzzy Syst., 4, 1, 1-13 (1996)
[38] Tanaka, K.; Wang, H. O., Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach (2004), John Wiley & Sons
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