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Linear quadratic optimal control problems via shifted Legendre state parametrization

The optimal control of linear systems with quadratic cost functional is considered. The method is based on shifted Legendre approximation of each state variable that converts the linear quadratic problem to a system of linear algebraic equations. An illustrative example is included to demonstrate th...

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Bibliographic Details
Published in:International journal of systems science 1994-02, Vol.25 (2), p.393-399
Main Authors: RAZZAGHI, MOHSEN, ELNAGAR, GAMAL N.
Format: Article
Language:English
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Summary:The optimal control of linear systems with quadratic cost functional is considered. The method is based on shifted Legendre approximation of each state variable that converts the linear quadratic problem to a system of linear algebraic equations. An illustrative example is included to demonstrate the validity and applicability of the technique.
ISSN:0020-7721
1464-5319
DOI:10.1080/00207729408928967