Title :
Spatial discretization and approximation of distributed feedback loops and inputs
Author :
Kannai, Y. ; Kelemen, M. ; Horowitz, Isaac
Author_Institution :
Dept. of Math., Weizmann Inst. of Sci., Rehovot, Israel
Abstract :
The problem of approximating distributed feedback loops and inputs by discrete (in space) ones is studied in some detail. The proof is based on the Fredholm-Hilbert idea for solving integral equations. The main result gives sufficient conditions on the plant, input, and compensator enabling such an approximation. The result is illustrated by two examples. One of them is a heat equation and another is a (damped) wave equation for which boundary value problems are solved
Keywords :
boundary-value problems; distributed parameter systems; feedback; integral equations; Fredholm-Hilbert idea; boundary value problems; distributed feedback loops; distributed inputs; heat equation; integral equations; spatial discretisation; sufficient conditions; wave equation; Boundary conditions; Control systems; Distributed feedback devices; Feedback loop; Integral equations; Laplace equations; Mathematics; Performance evaluation; Sufficient conditions; Time measurement;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203617
