Robust fault-tolerant self-recovering control of nonlinear uncertain systems

In this paper, the problem of devising a fault-tolerant robust control for a class of nonlinear uncertain systems is investigated. Possible failures of the sensor measuring the state variables are considered, and a robust measure is developed to identify the stability- and performance-vulnerable failures. Based on evaluation of the robust measure, a fault-tolerant robust control will switch itself between one robust control strategy designed under normal operation and another under the faulty condition. It is shown that, under two input-to-state stability 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]  Didier Theilliol,et al.  Fault-tolerant control in dynamic systems: application to a winding machine , 2000 .

[3]  Didier Theilliol,et al.  FAULT TOLERANT CONTROL IN DYNAMIC SYSTEMS , 2002 .

[4]  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.

[5]  H. Khalil,et al.  Semiglobal stabilization of a class of nonlinear systems using output feedback , 1993, IEEE Trans. Autom. Control..

[6]  Zhihua Qu,et al.  Robust Control of Nonlinear Uncertain Systems Under Generalized Matching Conditions , 1993, 1993 American Control Conference.

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

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

[9]  Marc Bodson,et al.  Multivariable adaptive algorithms for reconfigurable flight control , 1997, IEEE Trans. Control. Syst. Technol..

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

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

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

[13]  R. Freeman,et al.  Robust Nonlinear Control Design: State-Space and Lyapunov Techniques , 1996 .

[14]  Zhong-Ping Jiang,et al.  Robust control of uncertain nonlinear systems via measurement feedback , 1999, IEEE Trans. Autom. Control..

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

[16]  Alberto Isidori,et al.  A geometric approach to nonlinear fault detection and isolation , 2000, IEEE Trans. Autom. Control..

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