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A Polynomial Matrix Inequality approach for zonotopic set-membership estimation of multivariable systems

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5 Author(s)
Le, V.T.H. ; Autom. Control Dept., SUPELEC Syst. Sci. (E3S), Gif-sur-Yvette, France ; Stoica, C. ; Dumur, D. ; Alamo, T.
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This paper proposes a methodology for guaranteed state estimation of multivariable linear discrete time systems in the presence of bounded disturbances and noises. A zonotopic outer approximation of the state estimation domain is computed based on the minimization of the P-radius associated to the zonotope. The proposed method leads to an off-line Polynomial Matrix Inequality (PMI) optimization problem. A sub-optimal solution of this problem is obtained using relaxation techniques. An illustrative example is analyzed in order to highlight the performance of the proposed algorithm.

Published in:

Control & Automation (MED), 2012 20th Mediterranean Conference on

Date of Conference:

3-6 July 2012