Title :
Linear quadratic Gaussian control of 2-dimensional systems
Author :
Yang, Ran ; Zhang, Cishen ; Xie, Lihua
Author_Institution :
Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia
Abstract :
The linear quadratic Gaussian (LQG) control for one-dimensional (1-D) systems has been known to be one of the fundamental and significant methods in linear system theory. However, the LQG control problem for two-dimensional (2-D) systems has not been satisfactorily solved due to their structural and dynamical complexity. In this paper, sufficient conditions for evaluation of the quadratic performance indices of 2-D systems in terms of the system state and control variables are proposed. Using these conditions, systematic design methods for finite horizon and infinite horizon LQG controls of 2-D systems are developed.
Keywords :
control system synthesis; linear quadratic Gaussian control; linear systems; dynamical complexity; finite horizon; linear quadratic Gaussian control; linear system; one-dimensional system; structural complexity; two-dimensional system; Control systems; Design engineering; Filtering; Gaussian noise; Infinite horizon; Kalman filters; Linear systems; Radio access networks; Stability; Two dimensional displays;
Conference_Titel :
Control, Automation, Robotics and Vision Conference, 2004. ICARCV 2004 8th
Print_ISBN :
0-7803-8653-1
DOI :
10.1109/ICARCV.2004.1469065
