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

Vu Tuan Hieu Le (1) , Cristina Stoica (1) , Didier Dumur (1) , T. Alamo (2) , E.F. Camacho (2)

1 E3S - Supélec Sciences des Systèmes
2 Universidad de Sevilla = University of Seville

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.

Domaines: Automatique / Robotique

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⟩