On the matrix Riccati equation for a singularly perturbed linear discrete control system
作者:
MORISHIGE KIMURA,
期刊:
International Journal of Control
(Taylor Available online 1983)
卷期:
Volume 38,
issue 5
页码: 959-975
ISSN:0020-7179
年代: 1983
DOI:10.1080/00207178308933121
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A difference approximation to a singularly perturbed linear, time-varying, continuous-time control system is presented, and is called a singularly perturbed linear discrete-time control system. Under several assumptions, it is shown that the Riccati equation for the reduced system, in the sense of singular perturbation, agrees with that for the associated subsystem of the full (non-reduced) system when a small parameter in the equation is set zero. On the basis of this result, it is also shown that the optimal controls and the corresponding trajectories for the two systems are consistent with each other when a small parameter for the full system is set zero.
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