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State Estimation for a Class of Piecewise Affine State-Space Models

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We propose a filter for piecewise affine state-space models. In each filtering recursion, the true filtering posterior distribution is a mixture of truncated normal distributions. The proposed filter approximates the… Click to show full abstract

We propose a filter for piecewise affine state-space models. In each filtering recursion, the true filtering posterior distribution is a mixture of truncated normal distributions. The proposed filter approximates the mixture with a single normal distribution via moment matching. The proposed algorithm is compared with the extended Kalman filter (EKF) in a numerical simulation, where the proposed method obtains, on average, better root mean square error than the EKF.

Keywords: state; state space; affine state; piecewise affine; space models

Journal Title: IEEE Signal Processing Letters
Year Published: 2017

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