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Robust set-membership filtering for systems with missing measurement: A linear matrix inequality approach

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2 Author(s)
Yang, F. ; Sch. of Inf. Sci. & Eng., East China Univ. of Sci. & Technol., Shanghai, China ; Li, Y.

This study addresses the robust set-membership finite-horizon filtering problem for a class of discrete time-varying systems with missing measurement and polytopic uncertainties in the presence of unknown-but-bounded process and measurement noises. A robust set-membership filter is developed and a recursive algorithm is derived for computing the state estimate ellipsoid that is guaranteed to contain the true state. An optimal possible estimate set is computed recursively by solving the semi-definite programming problem. Simulation results are provided to demonstrate the effectiveness of the proposed method.

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Signal Processing, IET  (Volume:6 ,  Issue: 4 )