On various types of decoupling for time-varying systems†
作者:
N. VISWANADHAM,
J. H. TAYLOR,
期刊:
International Journal of Control
(Taylor Available online 1973)
卷期:
Volume 17,
issue 4
页码: 869-880
ISSN:0020-7179
年代: 1973
DOI:10.1080/00207177308932430
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
This paper deals with the problem of decoupling a class of linear time-varying multi-variable systems, based on the defining property that the impulse response matrix of a decoupled system is diagonal. Depending on the properties of the coefficient matrices of the vector differential equation of the open-loop system, the system may be uniformly or totally decoupled. The necessary and sufficient conditions that permit a system to be uniformly or totally decoupled by state variable feedback are given. The main contribution of this paper is the precise definition of these two classes of decoupling and a rigorous derivation of the necessary and sufficient conditions which show the necessity of requiring that the system be of constant ordered rank with respect to observability. A simple example illustrates the importance of having several definitions of decoupling. Finally, the results are specialized to the case of time invariant systems.
点击下载:
PDF (395KB)
返 回