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Passive fault-tolerant control of discrete time piecewise affine systems against actuator faults. (English) Zbl 1305.93062

Summary: In this article, we propose a new method for passive fault-tolerant control of discrete time piecewise affine systems. Actuator faults are considered. A reliable piecewise linear quadratic regulator state feedback is designed such that it can tolerate actuator faults. A sufficient condition for the existence of a passive fault-tolerant controller is derived and formulated as the feasibility of a set of linear matrix inequalities (LMIs). The upper bound on the performance cost can be minimised using a convex optimisation problem with LMI constraints which can be solved efficiently. The approach is illustrated on a numerical example and a two degree of freedom helicopter.

MSC:

93B35 Sensitivity (robustness)
93C55 Discrete-time control/observation systems

Software:

YALMIP
Full Text: DOI

References:

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