Robust estimation for discrete Markov system with time-varying delay and missing measurements
Journal article, Peer reviewed
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Original versionYou, J., Yin, S., & Karimi, H. R. (2013). Robust estimation for discrete markov system with time-varying delay and missing measurements. Mathematical Problems in Engineering, 2013. doi: 10.1155/2013/321935 10.1155/2013/321935
This paper addresses the H∞ filtering problem for time-delayed Markov jump systems (MJSs) with intermittent measurements. Within network environment, missing measurements are taken into account, since the communication channel is supposed to be imperfect. A Bernoulli process is utilized to describe the phenomenon of the missing measurements. The original system is transformed into an input-output form consisting of two interconnected subsystems. Based on scaled small gain (SSG) theorem and proposed Lyapunov-Krasovskii functional (LKF), the scaled small gains of the subsystems are analyzed, respectively. New conditions for the existence of the H∞ filters are established, and the corresponding H∞ filter design scheme is proposed. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed approach.
Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2013/321935 Open Access