Robust control of a class of nonlinear uncertain systems. Fault tolerance against sensor failures and subsequent self recovery

The problem of designing a fault-tolerant robust control for a class of nonlinear uncertain systems is investigated. Possible failures of the sensors measuring the state variables are considered, and robust measures are developed to identify the stability-vulnerable failures. Based on an evaluation of the robust measures, a fault-tolerant robust control can switch itself among several robust control strategies designed under normal operation and under specific faulty conditions. It is shown that, under mild conditions, the proposed scheme guarantees not only the desired performance under normal operations but also robust stability and best achievable performance when there is a sensor failure of any kind.

[1]  S. Gutman.  Uncertain dynamical systems--A Lyapunov min-max approach , 1979 .

[2]  Z. Qu.  Global stabilization of nonlinear systems with a class of unmatched uncertainties , 1992, [Proceedings 1992] The First IEEE Conference on Control Applications.

[3]  H. Khalil,et al.  Adaptive output feedback regulation of a class of nonlinear systems: convergence and robustness , 1997, IEEE Trans. Autom. Control..

[4]  R. Bodson,et al.  Multivariable adaptive algorithms for reconfigurable flight control , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[5]  Hassan K. Khalil,et al.  Robust adaptive output feedback control of nonlinear systems without persistence of excitation , 1997, Autom..

[6]  H. Khalil.  Adaptive output feedback control of nonlinear systems represented by input-output models , 1996, IEEE Trans. Autom. Control..

[7]  H. Khalil,et al.  Semiglobal stabilization of a class of nonlinear systems using output feedback , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[8]  Didier Theilliol,et al.  Fault-tolerant control in dynamic systems: application to a winding machine , 2000 .

[9]  B. Aloliwi,et al.  Adaptive output feedback regulation of a class of nonlinear systems , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[10]  M. Corless,et al.  Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems , 1981 .

[11]  Tarek Ahmed-Ali,et al.  Sliding observer-controller design for uncertain triangular nonlinear systems , 1999, IEEE Trans. Autom. Control..

[12]  Eduardo Sontag.  Further facts about input to state stabilization , 1990 .

[13]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .