Adaptive Dynamic Surface Control for a Parametric Strict Feedback System with Actuator Failures

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An adaptive dynamic surface control scheme for actuator failures compensation in a class of nonlinear system is presented. Radial basis function neural networks (RBF NNs) are incorporated into our controller design, for approximating the nonlinearities around the known nominal model. The RBF NNs compensate the system dynamics uncertainties and disturbance induced by actuator failures. The closed-loop signals of the system are proven to be uniformly ultimately bounded (UUB) by Lyapunov analysis. The output tracking error is bounded within a residual set which can be made small by appropriately choosing the controller parameters. We show the effectiveness of our approach by simulating the longitudinal dynamics of a twin otter aircraft with half portion of the elevator failing at unknown value and time instant.

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4381-4388

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October 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] M. Krstic and I. Kanellakopoulos, " Nonlinear Design of Adaptive Controllers for Linear Systems, IEEE Trans. Autom. Control, vol. 39, 1994, pp.738-752.

DOI: 10.1109/9.286250

Google Scholar

[2] D. Swaroop, J.K. Hedrick, P.P. Yip, and J.C. Gerdes, Dynamic surface control for a class of nonlinear systems, IEEE Trans. Autom. Control, vol. 45, 2000, pp.1893-1899.

DOI: 10.1109/tac.2000.880994

Google Scholar

[3] S. Seshagiri and H.K. Khalil, Output Feedback Control of Nonlinear Systems Using RBF Neural Networks, IEEE Trans. Neural Network, vol. 11, 2000, pp.69-79.

DOI: 10.1109/72.822511

Google Scholar

[4] X. Tang, G. Tao, and Suresh M. Joshi, Adaptive actuator failure compensation for parametric strict feedback system and an aircraft application, Automatica, Vol. 39, 2003, p.1975-(1982).

DOI: 10.1016/s0005-1098(03)00219-x

Google Scholar

[5] J. D. Boskovic, S. H. Yu, and R. K. Mehra, A stable scheme for automatic control reconfiguration in the presence of actuator failures, Proceedings of the 1998 ACC, IEEE, 1998, p.2455–2459.

DOI: 10.1109/acc.1998.703075

Google Scholar

[6] R. H. Miller and B. R. William, The efects of icing on the longitudinal dynamics of an icing research aircraft, The 37th Aerospace Sciences, AIAA, New York, (1999).

DOI: 10.2514/6.1999-636

Google Scholar

[7] G. Tao, S. H. Chen, and S. M. Joshi, An adaptive failure compensation controller using output feedback, IEEE Trans. on Autom. Control, Vol. 47, 2002a, p.506–511.

DOI: 10.1109/9.989150

Google Scholar

[8] G. Tao, X. Tang, and Suresh M. Joshi, "Adaptive output rejection of unmatched input disturbances,. Systems and Control Letters, Vol. 47, 2002b, p.25–35.

DOI: 10.1016/s0167-6911(02)00166-4

Google Scholar

[9] X.D. Tang, G. Tao, and S.M. Joshi, Adaptive actuator failure compensation for nonlinear MIMO systems with an aircraft control application, Automatica, vol. 43, 2007, pp.1869-1883.

DOI: 10.1016/j.automatica.2007.03.019

Google Scholar

[10] G. Tao, S.M. Joshi, and X.L. Ma, Adaptive state feedback and tracking control of systems with actuator failures, IEEE Trans. Autom. Control, vol. 46, 2001, pp.78-95.

DOI: 10.1109/9.898697

Google Scholar

[11] Isidori, Nonlinear control systems, 3rd edition, Springer, Berlin, (2002).

Google Scholar

[12] Bongsob S., Howell A. and Hedrick J.K., Dynamic surface control design for a class of non-linear systems, Proceedings of 40th IEEE Conference on Decision and Control, Florida 2001, pp.2797-2802.

Google Scholar