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H state estimation of 2D discrete systems

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3 Author(s)
Du, C. ; Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore ; Xie, L. ; Soh, Y.C.

This paper deals with H state estimation of two-dimensional (2D) linear discrete time-invariant systems described by a 2D local state-space Fornasini-Marchesini second model. Several versions of the bounded real lemma of the 2D discrete systems are established. The 2D bounded real lemma allows one to solve the finite horizon H state estimation problems using a Riccati difference equation. Further, a solution to the infinite horizon H filtering problem based on a linear matrix inequality approach is developed. Our results extend existing work for one-dimensional systems to the 2D case and give a state-space solution to the bounded realness of 2D discrete systems as well as 2D H state estimation for the first time

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American Control Conference, 1999. Proceedings of the 1999  (Volume:6 )

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