Abstract
This paper proposes a fault-tolerant control scheme for continuous-time linear systems against sensor failures, which is based on the combination of adaptive method and LMI (linear matrix inequality) approach for sensor failure compensations. The novelty lies in based on the online estimations of sensor faults, the controller parameters are updated automatically to compensate the sensor fault effects on systems. Meanwhile, asymptotic stability and H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performances for the resultant closed-loop systems are guaranteed in normal case as well as in sensor failure cases in the framework of LMIs. A numerical example is also given to illustrate the design procedure and their effectiveness.
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