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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
Published in:
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
(Volume:49
,
Issue:
1
)
Date of Publication: Jan 2002
- Page(s):
- 116 - 125
- ISSN :
- 1057-7122
- INSPEC Accession Number:
- 7152643
- Digital Object Identifier :
- 10.1109/81.974886
- Product Type:
- Journals & Magazines
- Date of Current Version :
- 07 August 2002
- Issue Date :
- Jan 2002
- Sponsored by :
- IEEE Circuits and Systems Society
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