Title :
The H∞-control problem for Pritchard-Salamon systems
Author :
Van Keulen, Bert
Author_Institution :
Math. Inst., Groningen, Netherlands
Abstract :
The (suboptimal) H∞-control problem is solved for a large class of infinite-dimensional systems which allows for a certain amount of unboundedness in the input and output operators (the Pritchard-Salamon class). The solution is a complete generalization of the finite-dimensional results in J. Doyle et al. (1989). The problem is solvable if and only if two coupled Riccati equations have stabilizing solutions; all suboptimal controllers can be parametrized in terms of these solutions
Keywords :
control system analysis; matrix algebra; multidimensional systems; optimal control; H infinity control; Pritchard-Salamon systems; coupled Riccati equations; infinite-dimensional systems; input operators; optimal control; output operators; unboundedness; Bismuth; Control systems; H infinity control; Hilbert space; Mathematics; Riccati equations;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371752
