An optimization problem in distributed parameter systems†
作者:
FERNANDO L. ALVARADO,
RANGASWAMY MUKUNDAN,
期刊:
International Journal of Control
(Taylor Available online 1969)
卷期:
Volume 9,
issue 6
页码: 665-677
ISSN:0020-7179
年代: 1969
DOI:10.1080/00207176908905788
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The optimal control problem for a furnace heating a one-dimensional slab with a quadratic performance index is analysed. This system is a typical distributed parameter system. The Hamiltonian is defined and the canonical equations are obtained. A Riccati type matrix partial differential equation is obtained from the canonical equations. An approximate method to solve these equations is derived and an example is presented to illustrate this method.
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