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Title: H∞ filtering for non-linear systems with stochastic sensor saturations and Markov time delays: The asymptotic stability in probability
Authors: Liu, Y
Wang, Z
He, X
Zhou, D
Keywords: Probability;Asymptotic stability;H∞ filters;Markov processes;Nonlinear control systems
Issue Date: 2016
Publisher: IET
Citation: IET Control Theory and Applications, 10(14): pp. 1706 - 1715, (2016)
Abstract: This study is concerned with the filtering problem for a class of non-linear systems with stochastic sensor saturations and Markovian measurement transmission delays, where the asymptotic stability in probability is considered. The sensors are subject to random saturations characterised by a Bernoulli distributed sequence. The transmission time delays are governed by a discrete-time Markov chain with finite states. In the presence of the non-linearities, stochastic sensor saturations and Markovian time delays, sufficient conditions are established to guarantee that the filtering process is asymptotically stable in probability without disturbances and also satisfies the H∞ criterion with respect to non-zero exogenous disturbances under the zero-initial condition. Moreover, it is illustrated that the results can be specialised to linear filters. Two simulation examples are presented to show the effectiveness of the proposed algorithms.
ISSN: 1751-8644
Appears in Collections:Dept of Computer Science Research Papers

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