Discrete linear quadratic tracker for two-dimensional systems

Jim Shone Li, Jason Sheng-Hon Tsai, Leang San Shieh

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this paper we first construct a control scheme that makes the two-dimensional (2-D) linear systems follow (or track) the desired trajectories over the entire time intervals by using a closed-loop control law. This optimal tracker method for 2-D linear systems with free boundary conditions in Roesser's model has been proposed. Based on the Roesser's model, an equivalent general one-dimensional (1-D) model of the 2-D system has been presented and the problem of minimizing a 2-D linear quadratic (LQ) performance index has been solved for the case where the complete state information is available. The solution is obtained by using the proposed dynamic programming in 1-D form for solving the Riccati equation and then by arriving at the optimal tracker control law.

Original languageEnglish
Pages (from-to)243-250
Number of pages8
JournalJournal of the Chinese Institute of Electrical Engineering, Transactions of the Chinese Institute of Engineers, Series E/Chung KuoTien Chi Kung Chieng Hsueh K'an
Volume9
Issue number3
Publication statusPublished - 2002 Aug 1

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Linear systems
Riccati equations
Dynamic programming
Trajectories
Boundary conditions

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

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