OPTIMAL CONTROL FOR TWO-DIMENSIONAL LINEAR SYSTEMS WITH VARIABLE COEFFICIENTS

Autor: Leang S. Shieh, Jimshone Li, Jason Sheng Hong Tsai
Rok vydání: 2008
Předmět:
Zdroj: Asian Journal of Control. 1:245-257
ISSN: 1561-8625
DOI: 10.1111/j.1934-6093.1999.tb00023.x
Popis: An optimal control method for two-dimensional (2-D) linear systems with variable coefficients and free boundary conditions in Roesser's model is proposed in this paper. Based on Roesser's model, an equivalent general 1-D model of the 2-D system is presented, and the problem of minimizing a 2-D linear quadratic (LQ) cost function is solved for the case where complete state information is available. The solution is obtained by using the proposed dynamic programming in 1-D descriptor form to solve the Riccati equation and then arriving at the optimal control law and minimum cost. The proposed control methodology can be applied to discrete-time models of systems described by partial differential equations and can also be used in the field of signal processing.
Databáze: OpenAIRE