LMI-based sliding-mode observer design method for reconstruction of actuator and sensor faults
نویسندگان
چکیده
This paper presents a method to design Sliding Mode Observers (SMO) for a class of linear system using Linear Matrix Inequalities (LMIs). The switching surface is set to be the difference between the observer and system output. In terms of LMIs, a necessary and sufficient condition is derived for the existence of a sliding-mode observer guaranteeing a stable sliding motion on the switching surface. The gain matrices of the sliding-mode observer are characterised using the solution of the LMI existence condition. Next, we discuss how these SMO can be used for detecting and reconstructing actuator and sensor faults by analysing the equivalent output error injection signal required to maintain the observer in a sliding motion. Finally, the validity and the applicability of this approach are illustrated by a lateral axis model of an L-1011in cruise flight conditions.
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