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Fault Tolerant control Design for switched Systems

Abstract In this paper, we develop a Fault Tolerant Control (FTC) strategy designed to preserve closed-loop stability in spite of actuator failures. The main contribution is the design of a linear output feedback control function for a class of discrete-time switched linear systems with explicit modelling of multiple actuator failures. Assuming an on-line and real-time Fault Detection and Isolation (FDI) scheme such that, each time there is a change in status of one or more of the p many actuators, the FDI scheme will update a p-length vector of real parameters in the interval [0,1] recording the degree of loss of effectiveness (with 0 for normal operation and 1 for total failure), we can perform controller redesign on-line using LMI techniques. We conclude the paper with an example illustrating the performance of our proposed FTC strategy.