Title :
Optimal control (quadratic performance) for linear two-dimensional systems
Author :
Rostan, Marta ; Lee, E.B.
Author_Institution :
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
Abstract :
Consideration is given to Roesser´s model of a two dimensional linear discrete-time system and the task of determining an optimal control for the minimization of a quadratic cost functional over a finite set. It is shown that the optimal control is given by a state feedback; the solution of a Riccati equation appears in the feedback operation. The control on an infinite set is also discussed
Keywords :
discrete time systems; feedback; linear systems; multidimensional systems; optimal control; Riccati equation; Roesser´s model; discrete-time system; linear systems; multidimensional systems; optimal control; quadratic cost functional; state feedback; two-dimensional systems; Boundary conditions; Control system synthesis; Cost function; Difference equations; Discrete transforms; Optimal control; Riccati equations; State feedback; Strips;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70124
