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• W2065233684 startingPage "147" @default.
• W2065233684 abstract "Nonlinear stochastic dynamical systems are widely used to model physical processes. In many practical applications, the state variables are defined on a compact set of the state space, i.e., they are bounded or saturated. To estimate the states of systems with saturated variables, the Saturated Particle Filter (SPF) has recently been developed. This filter exploits the structure of the saturated system using a specific importance sampling distribution. In this paper we investigate the asymptotic properties of the filter, in particular its almost sure convergence to the true posterior PDF. Furthermore, an improved SPF is developed that uses a novel resampling procedure to overcome the practical shortcomings of the original SPF. We prove that this new filter also converges almost surely to the true posterior PDF. Both versions of the SPF are presented in easy to implement algorithmic forms." @default.
• W2065233684 created "2016-06-24" @default.
• W2065233684 creator A5006722575 @default.
• W2065233684 creator A5073888000 @default.
• W2065233684 creator A5084264842 @default.
• W2065233684 date "2013-01-01" @default.
• W2065233684 modified "2023-09-26" @default.
• W2065233684 title "Saturated Particle Filter: Almost sure convergence and improved resampling" @default.
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• W2065233684 doi "https://doi.org/10.1016/j.automatica.2012.10.006" @default.
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