Optimal sensor location problem for a linear distributed parameter system Export

@article{citeulike:6071718, abstract = {This paper studies an optimal sensor location problem for a linear distributed parameter system. It is assumed that a criterion for the optimal sensor location is to minimize the trace of the optimal filtering error covariance function. The existence and uniqueness theorem concerning a solution of the optimal filtering error covariance function for the pointwise observation case is considered. Then by using the existence and uniqueness theorem, the comparison theorem for the partial differential equations of Riccati type is proved. By using the theorems obtained here, the existence theorem concerning a solution of the optimal sensor location problem is proved and the necessary and sufficient conditions for optimality are derived. Finally, some numerical examples for the optimal sensor location problem are illustrated.}, author = {Omatu, S. and Koide, S. and Soeda, T.}, citeulike-article-id = {6071718}, citeulike-linkout-0 = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1101826}, day = {06}, journal = {Automatic Control, IEEE Transactions on}, keywords = {control, distributed\_parameter\_systems, location, sensor}, month = {January}, number = {4}, pages = {665--673}, posted-at = {2009-11-04 22:47:19}, priority = {2}, title = {Optimal sensor location problem for a linear distributed parameter system}, url = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1101826}, volume = {23}, year = {2003} }

TY - JOUR ID - citeulike:6071718 L3 - citeulike-article-id:6071718 N2 - This paper studies an optimal sensor location problem for a linear distributed parameter system. It is assumed that a criterion for the optimal sensor location is to minimize the trace of the optimal filtering error covariance function. The existence and uniqueness theorem concerning a solution of the optimal filtering error covariance function for the pointwise observation case is considered. Then by using the existence and uniqueness theorem, the comparison theorem for the partial differential equations of Riccati type is proved. By using the theorems obtained here, the existence theorem concerning a solution of the optimal sensor location problem is proved and the necessary and sufficient conditions for optimality are derived. Finally, some numerical examples for the optimal sensor location problem are illustrated. IS - 4 JF - Automatic Control, IEEE Transactions on EP - 673 TI - Optimal sensor location problem for a linear distributed parameter system VL - 23 SP - 665 KW - control KW - distributed_parameter_systems KW - location KW - sensor AU - Omatu, S AU - Koide, S AU - Soeda, T PY - 2003/01/06/ UR - http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1101826 ER -