Title: Discretized quadratic optimal control for continuous-time two-dimensional systems
Abstract: In this paper, discretized quadratic optimal control for continuous-time two-dimensional (2D) systems is newly proposed. It introduces a new state vector (a new virtual control input) to directly convert the original continuous-time 2D quadratic cost function into a decoupled discretized form. As a result, a new virtual discrete-time 2D model with the new virtual control input is constructed to indirectly find the desired discretized quadratic optimal regulator for the continuous-time 2D system. The recently developed dynamic programming in discrete-time 1D descriptor form is utilized to determine the desired discretized quadratic optimal regulator. This method provides a novel approach for discretized quadratic optimal control of continuous-time 2D systems. An illustrative example is presented to demonstrate the effectiveness of the proposed procedure.
Publication Year: 2002
Publication Date: 2002-01-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 41
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