Title :
H∞ state estimation of 2D discrete systems
Author :
Du, C. ; Xie, L. ; Soh, Y.C.
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Abstract :
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
Keywords :
Riccati equations; difference equations; discrete time systems; filtering theory; linear systems; matrix algebra; multidimensional systems; state estimation; state-space methods; 2D systems; Fornasini-Marchesini model; H∞ filtering; Riccati difference equation; discrete time systems; linear invariant systems; linear matrix inequality; state estimation; state-space model; Energy measurement; Estimation error; Filtering algorithms; Gain measurement; Infinite horizon; Kalman filters; Nonlinear filters; Riccati equations; State estimation; Two dimensional displays;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.786413
