H ∞ filtering for non-linear systems with stochastic sensor saturations and Markov time delays: the asymptotic stability in probability

Yang Liu, Xiao He, Zidong Wang, Donghua Zhou
2016 IET Control Theory & Applications  
This paper is concerned with the filtering problem for a class of nonlinear 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 characterized 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 nonlinearities, stochastic sensor saturations and
more » ... 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 nonzero exogenous disturbances under the zero-initial condition. Moreover, it is illustrated that the results can be specialized to linear filters. Two simulation examples are presented to show the effectiveness of the proposed algorithms.
doi:10.1049/iet-cta.2015.1062 fatcat:ltdaeydl6bhwfacyo5ot3l4tae