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Zbl 1194.93093
Zuo, Zhiqiang; Ho, Daniel W.C.; Wang, Yijing
Fault tolerant control for singular systems with actuator saturation and nonlinear perturbation. (English)
[J] Automatica 46, No. 3, 569-576 (2010). ISSN 0005-1098

Summary: The problem of robust fault tolerant control for a class of singular systems subject to both time-varying state-dependent nonlinear perturbation and actuator saturation is investigated. A sufficient condition for the existence of a fixed-gain controller is first proposed which guarantees the regularity, impulse-free and stability of the closed-loop system under all possible faults. An optimization problem with LMI constraints is formulated to determine the largest contractively invariant ellipsoid. An adaptive fault tolerant controller is then developed to compensate for the failure effects on the system by estimating the fault and updating the design parameter matrices online. Both of these two controllers are in the form of a saturation avoidance feedback with the advantage of relatively small actuator capacities compared with the high gain counterpart. An example is included to illustrate the proposed procedures and their effectiveness.

MSC 2000:: *93C15 Control systems governed by ODE
93B52 Feedback control
93C73 Perturbations in control systems

Keywords: singular systems; actuator saturation; nonlinear perturbation; fault tolerant control; invariant ellipsoid

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