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arXiv · 1306.4479

Robust State and fault Estimation of Linear Discrete Time Systems with Unknown Disturbances

Bessaoudi Talel·Ben Hmida Fayçal
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Abstract

This paper presents a new robust fault and state estimation based on recursive least square filter for linear stochastic systems with unknown disturbances. The novel elements of the algorithm are : a simple, easily implementable, square root method which is shown to solve the numerical problems affecting the unknown input filter algorithm and related information filter and smoothing algorithms; an iterative framework, where information and covariance filters and smoothing are sequentially run in order to estimate the state and fault. This method provides a direct estimate of the state and fault in a single block with a simple formulation. A numerical example is given in order to illustrate the performance of the proposed filter.

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Bessaoudi Talel, Ben Hmida Fayçal. 2013-06-19. Robust State and fault Estimation of Linear Discrete Time Systems with Unknown Disturbances. https://arxiv.org/abs/1306.4479

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