Title :
A linear-quadratic optimal regulator for two-dimensional systems
Author :
Jagannathan, Mahesh ; Syrmos, Vassilis L.
Author_Institution :
Dept. of Electr. Eng., Hawaii Univ., Honolulu, HI, USA
Abstract :
This paper considers the linear quadratic regulator (LQR) problem for two-dimensional (2D) systems. The general 2D system is assumed to be represented by the Givone-Roesser model. In attempting to solve the standard 2D LQR problem, it is shown that the notion of diagonal causality arises naturally. The system under consideration is redefined accordingly and it is demonstrated that the new 2D system can be cast as a one-dimensional (1D) non-square descriptor system. Existing results in 1D non-square descriptor system theory are then called upon to solve the modified 2D LQR problem
Keywords :
Riccati equations; linear quadratic control; multidimensional systems; state feedback; state-space methods; 1D nonsquare descriptor system; Givone-Roesser model; Riccati equation; diagonal causality; linear-quadratic control; optimal control; state feedback; state space model; two-dimensional systems; Digital filters; Digital images; Frequency; Linear systems; Regulators; Riccati equations; Robustness; State feedback; State-space methods; Two dimensional displays;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.577439
