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

Volume

2

fYear

2004

fDate

6-9 Dec. 2004

Firstpage

1465

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Automation, Robotics and Vision Conference, 2004. ICARCV 2004 8th

Print_ISBN

0-7803-8653-1

Type

conf

DOI

10.1109/ICARCV.2004.1469065

Filename

1469065