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DISCRETIZED SUB‐OPTIMAL TRACKER FOR NONLINEAR CONTINUOUS TWO‐DIMENSIONAL SYSTEMS
Authors:Chia‐Wei Chen  Jason Sheng‐Hong Tsai  Leang‐San Shieh
Abstract: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.
Keywords:Nonlinear continuous two‐dimensional Roesser's model  tracker  optimal control  digital redesign
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