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Automatica, Vol.46, No.11, 1743-1751, 2010
Robust H-infinity finite-horizon filtering with randomly occurred nonlinearities and quantization effects
In this paper, the robust H-infinity finite-horizon filtering problem is investigated for discrete time-varying stochastic systems with polytopic uncertainties, randomly occurred nonlinearities as well as quantization effects. The randomly occurred nonlinearity, which describes the phenomena of a nonlinear disturbance appearing in a random way, is modeled by a Bernoulli distributed white sequence with a known conditional probability. A new robust H-infinity filtering technique is developed for the addressed Ito-type discrete time-varying stochastic systems. Such a technique relies on the forward solution to a set of recursive linear matrix inequalities and is therefore suitable for on-line computation. It is worth mentioning that, in the filtering process, the information of both the current measurement and the previous state estimate is employed to estimate the current state. Finally, a simulation example is exploited to show the effectiveness of the method proposed in this paper. (C) 2010 Elsevier Ltd. All rights reserved.
Keywords:Stochastic systems;Discrete time-varying systems;H-infinity filtering;Recursive linear matrix inequalities;Randomly occurred nonlinearities;Quantization effects