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A Reduced-order Fault Detection Filter Design for Polytopic Uncertain Continuous-time Markovian Jump Systems with Time-varying Delays

Lihong Rong, Xiuyan Peng*, and Biao Zhang
International Journal of Control, Automation, and Systems, vol. 16, no. 5, pp.2021-2032, 2018

Abstract : "In this article, the fault detection (FD) reduced-order filtering problem is investigated for a family of polytopic uncertain continuous-time Markovian jump linear systems (MJLSs) with time-varying delays. Under meeting the the premise of fault detection accuracy, the reduced order fault detection filters are desirable in applications where fast data processing and saving computing space are necessary. Then, by the aid of the Markovian Lyapunov-Krasovskii functional and convex polyhedron techniques, some novel time-varying delays and polytopic uncertain sufficient conditions are proposed to insure the existence of the FD reduced-order filter. Finally, a simulated continuous stirred tank reactor process example is provided to verify the feasibility of the proposed methodology."

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