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A Polynomial Matrix Inequality Approach for Zonotopic Set-Membership Estimation of Multivariable Systems

Abstract : 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.
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https://hal-supelec.archives-ouvertes.fr/hal-00708465
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Vu Tuan Hieu Le, Cristina Stoica, Didier Dumur, T. Alamo, E.F. Camacho. A Polynomial Matrix Inequality Approach for Zonotopic Set-Membership Estimation of Multivariable Systems. 2012 20th Mediterranean Conference on Control & Automation (MED), Jul 2012, Barcelone, Spain. pp.CD-Rom, ⟨10.1109/MED.2012.6265608⟩. ⟨hal-00708465⟩

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