Discretized sub-optimal tracker for nonlinear continuous two-dimensional systems

The discretized quadratic sub-optimal tracker for nonlinear continuous two-dimensional (2-D) systems is newly proposed in this paper. The proposed method provides a novel methodology for indirect digital redesign for nonlinear continuous 2-D systems with a continuous performance index. This includes the following features: (1) the 2-D optimal-linearization approach of the nonlinear 2-D Roesser's model (RM), (2) the dynamic programming-based discretized quadratic optimal tracker for linear continuous 2-D systems, (3) the steady-state discretized quadratic sub-optimal tracker for linear continuous 2-D systems, and (4) the discretized quadratic sub-optimal tracker for nonlinear continuous 2-D systems. Illustrative examples are presented to demonstrate the effectiveness of the proposed procedure.