Transformational Solution of Singular Linear-Quadratic Control Problems

David J. Clements; Brian D.O. Anderson

doi:10.1109/TAC.1977.1101402

Transformational Solution of Singular Linear-Quadratic Control Problems

David J. Clements
, Brian D.O. Anderson

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

General linear-quadratic singular variational problems ‘lith free end-point are studied. An algorithm is presented, involving the execution of a sequence of coordinate basis transformations in the state and control space; the algorithm establishes whether a prescribed problem has a solution, determining the optimal control and Performance index in case the solution exists.

Original language	English
Pages (from-to)	57-60
Number of pages	4
Journal	IEEE Transactions on Automatic Control
Volume	22
Issue number	1
DOIs	https://doi.org/10.1109/TAC.1977.1101402
Publication status	Published - Feb 1977
Externally published	Yes

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10.1109/TAC.1977.1101402

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title = "Transformational Solution of Singular Linear-Quadratic Control Problems",

abstract = "General linear-quadratic singular variational problems {\textquoteleft}lith free end-point are studied. An algorithm is presented, involving the execution of a sequence of coordinate basis transformations in the state and control space; the algorithm establishes whether a prescribed problem has a solution, determining the optimal control and Performance index in case the solution exists.",

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AB - General linear-quadratic singular variational problems ‘lith free end-point are studied. An algorithm is presented, involving the execution of a sequence of coordinate basis transformations in the state and control space; the algorithm establishes whether a prescribed problem has a solution, determining the optimal control and Performance index in case the solution exists.

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DO - 10.1109/TAC.1977.1101402

M3 - Article

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EP - 60

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

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Transformational Solution of Singular Linear-Quadratic Control Problems

Abstract

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