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Zbl 1117.93019
Gao, Zhiwei; Ding, Steven X.
Actuator fault robust estimation and fault-tolerant control for a class of nonlinear descriptor systems. (English)
[J] Automatica 43, No. 5, 912-920 (2007). ISSN 0005-1098

Summary: For Lipschitz nonlinear descriptor systems with bounded input disturbances, by solving a Lyapunov equation, a robust state-space observer is proposed to simultaneously estimate descriptor system states, actuator faults, their finite times derivatives, and attenuate input disturbances in any desired accuracy. The considered faults can be unbounded (provided that their qth derivatives are bounded), the present fault estimation approaches can handle a large class of faults. By using the estimates of descriptor states and faults, and the linear matrix inequality (LMI) technique, a fault-tolerant control scheme is worked out. The nonlinear fault-tolerant control system can be made solvable, causal, asymptotically stable, and attenuate input uncertainties in terms of the prescribed performance index. Only original coefficient matrices are used in the proposed state-space observers and fault-tolerant controllers; therefore, the present design approaches are preferable in applications. Finally, a numerical example is given to illustrate the design procedure and simulations demonstrate the efficiency of the proposed design.

MSC 2000:: *93B07 Observability
93C10 Nonlinear control systems
93C70 Time-scale analysis and related topics
93C15 Control systems governed by ODE
93B35 Sensitivity (robustness) of control systems
93D20 Asymptotic stability of control systems

Keywords: descriptor systems; actuator fault estimation; fault-tolerant control; nonlinearity; robust estimation

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Zentralblatt MATH Berlin [Germany]