Title :
Necessary and sufficient conditions under which an H2 -optimal control problem has a unique solution
Author :
Chen, Ben M. ; Saberi, Ali
Author_Institution :
Sch. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA
Abstract :
A set of necessary and sufficient conditions under which a general H2-optimal control problem has a unique solution is derived. It is shown that the solution for an H2-optimal control problem, if existent, is unique if and only if the transfer function from the control input to the controlled output is left invertible, and the transfer function form the disturbance to the measurement output is right invertible
Keywords :
control system analysis; optimal control; transfer functions; H2-optimal control; necessary conditions; sufficient conditions; transfer function; Airplanes; Computer science; Contracts; Kernel; NASA; Optimal control; Stochastic processes; Sufficient conditions; Transfer functions;
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.1992.371544
