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Decentralized output-feedback adaptive control for a class of interconnected nonlinear systems with unknown actuator failures. (English) Zbl 1343.93009

Summary: In this paper, a decentralized output-feedback adaptive backstepping control scheme is proposed for a class of interconnected nonlinear systems with unknown actuator failures. By introducing a kind of high-gain \(K\)-filters, a bound estimation approach and some smooth functions, the effect of actuator failures and interactions among subsystems is successfully compensated for and the actuators are allowed to change among the normal operation case and different failure cases infinitely many times. The proposed scheme is able to guarantee the global stability of the overall closed-loop system, regardless of the possibly infinite number of unknown actuator failures. An initialization technique is also introduced so that the \(\mathcal{L}_\infty\) performance of tracking errors can be adjusted no matter if there exist unknown actuator failures. Simulation results performed on double inverted pendulums are presented to illustrate the effectiveness of the proposed scheme.

MSC:

93A14 Decentralized systems
93C40 Adaptive control/observation systems
93C10 Nonlinear systems in control theory
93E15 Stochastic stability in control theory
93E11 Filtering in stochastic control theory
93E10 Estimation and detection in stochastic control theory

References:

[1] Bechlioulis, C. P.; Rovithakis, G. A., Robust partial-state feedback prescribed performance control of cascade systems with unknown nonlinearities, IEEE Transactions on Automatic Control, 56, 9, 2224-2230 (2011) · Zbl 1368.93216
[2] Boskovic, J. D.; Mehra, R. K., Multiple-model adaptive flight control scheme for accommodation of actuator failures, Journal of Guidance, Control, and Dynamics, 25, 4, 712-724 (2002)
[3] Cai, J.; Wen, C.; Su, H.; Liu, Z., Robust adaptive failure compensation of hysteretic actuators for a class of uncertain nonlinear systems, IEEE Transactions on Automatic Control, 58, 9, 2388-2394 (2013) · Zbl 1369.93242
[4] Corradini, M. L.; Orlando, G., Actuator failure identification and compensation through sliding modes, IEEE Transactions on Control Systems Technology, 15, 1, 184-190 (2007)
[5] Jiang, J., Design of reconfigurable control systems using eigenstructure assignment, International Journal of Control, 59, 2, 395-410 (1994) · Zbl 0802.93021
[6] Jiang, Z. P., Decentralized and adaptive nonlinear tracking of large-scale systems via output feedback, IEEE Transactions on Automatic Control, 45, 11, 2122-2128 (2000) · Zbl 0989.93008
[7] Krstic, M.; Kanellakopoulos, I.; Kokotovic, P. V., Nonlinear and adaptive control design (1995), Wiley: Wiley New York · Zbl 0763.93043
[8] Tang, X. D.; Tao, G., An adaptive nonlinear output feedback controller using dynamic bounding with an aircraft control application, International Journal of Adaptive Control and Signal Processing, 23, 7, 609-639 (2009) · Zbl 1169.93339
[9] Tang, X. D.; Tao, G.; Joshi, S. M., Adaptive actuator failure compensation for parametric strict feedback systems and an aircraft application, Automatica, 39, 11, 1975-1982 (2003) · Zbl 1048.93043
[10] Tang, X. D.; Tao, G.; Joshi, S. M., Adaptive output feedback actuator failure compensation for a class of non-linear systems, International Journal of Adaptive Control and Signal Processing, 19, 6, 419-444 (2005) · Zbl 1138.93406
[11] Tang, X. D.; Tao, G.; Joshi, S. M., Adaptive actuator failure compensation for nonlinear mimo systems with an aircraft control application, Automatica, 43, 11, 1869-1883 (2007) · Zbl 1132.93331
[12] Tao, G.; Joshi, S. M.; Ma, X. L., Adaptive state feedback control and tracking control of systems with actuator failures, IEEE Transactions on Automatic Control, 46, 1, 78-95 (2001) · Zbl 0992.93043
[13] Tao, G.; Chen, S. H.; Joshi, S. M., An adaptive control scheme for systems with unknown actuator failures, Automatica, 38, 6, 1027-1034 (2002) · Zbl 1015.93030
[14] Tao, G.; Chen, S. H.; Joshi, S. M., An adaptive failure compensation controller using output feedback, IEEE Transactions on Automatic Control, 47, 3, 506-511 (2002) · Zbl 1364.93671
[15] Wang, C.; Lin, Y., Output-feedback robust adaptive backstepping control for a class of multivariable nonlinear systems with guaranteed \(L_\infty\) tracking performance, International Journal of Robust and Nonlinear Control, 23, 18, 2082-2096 (2013) · Zbl 1278.93095
[16] Wang, C.; Lin, Y., Decentralized adaptive tracking control for a class of interconnected nonlinear time-varying systems, Automatica, 54, 16-24 (2015) · Zbl 1318.93048
[17] 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
[18] Wang, W.; Wen, C., Adaptive compensation for infinite number of actuator failures or faults, Automatica, 47, 10, 2197-2210 (2011) · Zbl 1228.93070
[19] Wang, C.; Wen, C.; Lin, Y., Decentralized adaptive backstepping control for a class of interconnected nonlinear systems with unknown actuator failures, Journal of the Franklin Institute, 352, 3, 835-850 (2015) · Zbl 1307.93210
[20] Wen, C., Decentralized adaptive regulation, IEEE Transactions on Automatic Control, 39, 10, 2163-2166 (1994) · Zbl 0925.93460
[21] Yang, G. H.; Wang, J. L.; Soh, Y. C., Reliable \(H_\infty\) controller design for linear systems, Automatica, 37, 5, 717-725 (2001) · Zbl 0990.93029
[22] Zhang, Z.; Chen, W., Adaptive output feedback control of nonlinear systems with actuator failures, Information Sciences, 179, 24, 4249-4260 (2009) · Zbl 1187.93069
[23] Zhang, Z.; Xu, S.; Guo, Y.; Chu, Y., Robust adaptive output-feedback control for a class of nonlinear systems with time-varying actuator faults, International Journal of Adaptive Control and Signal Processing, 24, 9, 743-759 (2010) · Zbl 1204.93040
[24] Zhao, Q.; Jiang, J., Reliable state feedback control system design against actuator failures, Automatica, 34, 10, 1267-1272 (1998) · Zbl 0938.93523
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