An extension of predictor control for systems with control time-delays
作者:
D. H. MEE,
期刊:
International Journal of Control
(Taylor Available online 1973)
卷期:
Volume 18,
issue 6
页码: 1151-1168
ISSN:0020-7179
年代: 1973
DOI:10.1080/00207177308932590
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The control of systems having time-delays in their control paths is considered and feedback laws are developed. A linear system is proposed and a quadratic criterion is optimized over an infinite interval to obtain time-invariant laws. A particularly simple law obtained by the solution of a non-delayed problem can be developed when all controls are delayed by the same amount, but when each control is delayed by a different amount the solution becomes quite complicated. Nevertheless this paper shows how solutions can be obtained by solving a sequence of tracking problems. In contrast to the state-delayed problem, where non-linear partial differential equations need be solved, only ordinary differential equations with single-point boundary values need be solved for the control-delayed problem. The time-invariant feedback law obtained involves a knowledge of the time-delay storages and performs a linear operation on these. The kernels of this operation cannot in general be derived as impulse responses of lumped systems.
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