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.
|Number of pages||8|
|Journal||Journal of the Chinese Institute of Electrical Engineering, Transactions of the Chinese Institute of Engineers, Series E/Chung KuoTien Chi Kung Chieng Hsueh K'an|
|Publication status||Published - 2002 Aug 1|
All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering