Global stabilization of non-linear singularly perturbed systems with fast actuators: exact design manifold approach
作者:
CHUNG-CHENG CHEN,
JER-GUANG HSIEH,
JUHNG-PERNG SU,
期刊:
International Journal of Systems Science
(Taylor Available online 1994)
卷期:
Volume 25,
issue 4
页码: 753-762
ISSN:0020-7721
年代: 1994
DOI:10.1080/00207729408928993
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In the integral manifold approach, the dynamical behaviour of a non-linear singularly perturbed system is captured geometrically by the rapid approach of the fast system states to the design manifold and remaining on the manifold thereafter. A globally stabilizing composite feedback control, i.e. the sum of a slow control and a fast control, is proposed for a general class of non-linear singularly perturbed systems with fast actuators such that the design manifold becomes an exact slow integral manifold and the trajectories of the closed-loop systems, starting from any initial states, are steered along the integral manifold to the origin, i.e. the original non-linear singularly perturbed system is globally asymptotically stabilized.
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