Discrete-time optimal control for linear time-delay systems with deterministic disturbances
作者:
Tsu-TianLee,
Ching-LongShih,
期刊:
IEE Proceedings D (Control Theory and Applications)
(IET Available online 1991)
卷期:
Volume 138,
issue 6
页码: 573-578
年代: 1991
DOI:10.1049/ip-d.1991.0079
出版商: IEE
数据来源: IET
摘要:
This paper presents an approach to formulating the optimisation problem of linear discrete-time systems with delays. It is shown that, by properly augmenting the state vector, the optimisation problem of achieving closed-loop poles inside a circular region with centre (β. 0) and radius α, where α + |β| ≤ 1, and at the same time accommodating deterministic disturbances, can be reduced to a standard discrete quadratic regulator problem with no delays. It is also shown that the dynamical feedback controller, which minimises the performance to achieve poles inside a circular region and accommodate disturbances, can be implemented via an auxiliary linear dynamical system. The implementation scheme is effective in many applications.
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