Minimum energy control of time delay systems via piecewise linear polynomial functions
作者:
CHING-TIEN LIOU,
YI-SHYONG CHOU,
期刊:
International Journal of Control
(Taylor Available online 1987)
卷期:
Volume 46,
issue 5
页码: 1595-1603
ISSN:0020-7179
年代: 1987
DOI:10.1080/00207178708933998
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The piecewise linear polynomial function approach to the minimum energy control of linear systems with time delay, is presented in this paper. The concepts of a delay shift matrix and an operational matrix for integration are employed in solving the related state and costate equations containing terms with advanced and delayed arguments. An attractive feature of the present method is its ultimate simplicity and convenience. The differential equations with delay and advance terms are converted into a set of linear algebraic equations using a recurrence algorithm. An example demonstrates the accuracy of the method.
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