An LMI approach to Mixed H_∞/H_- Fault Detection Observer Design for Linear Fractional-Order Systems

Mohammad Azimi, Heydar Toossian Shandiz

Abstract


This study deals with the problem of robust fault detection for linear time-invariant fractional-order system (FOSs) assumed to be affected by sensor, actuator and process faults as well as disturbances. The observer-based method was employed to solve the problem, where the detector is an observer. The problem was transformed into the mixed  robust optimization problem to make the system disturbance-resistant on one hand and fault-sensitive on the other hand. Then, sufficient conditions were obtained to solve the problem in the LMI mode. Finally, the effectiveness and superiority of the method were demonstrated by simulating the solutions on a single-input multi-output thermal testing bench.

Keywords


Fault Detection, Fractional Order System, LMI



DOI: http://dx.doi.org/10.12928/telkomnika.v19i6.18741

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