L1/L-fault detection filtering for delayed 2-D continuous positive Markov jump systems

초록

This paper aims to design a fault detection (FD) filter for continuous two-dimensional (2-D) Markov jump positive systems (MJPSs) with constant state delays that ensures the stochastic stability and L1/L-performances of the filtering augmented system. The L1-gain and L-performances of the delayed continuous 2-D MJPSs are investigated, and their exact values can be calculated. Necessary and sufficient conditions for ensuring the L1-gain performance and L-index of the system are derived. On this basis, sufficient conditions for the existence of the mixed L1/L-FD filter are achieved and then are solved via an iterative algorithm. Finally, a numerical example validates the preceding theoretical findings.

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