Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 43, Issue 11, Pages 1985-1997Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2012.670289
Keywords
piecewise affine systems; discrete time systems; passive fault tolerant control; guaranteed cost control; actuator fault
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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.
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