A singular perturbation canonical form of invertible systems: determination of multivariate root-loci
作者:
P. SANNUTI,
H. WASON,
期刊:
International Journal of Control
(Taylor Available online 1983)
卷期:
Volume 37,
issue 6
页码: 1259-1286
ISSN:0020-7179
年代: 1983
DOI:10.1080/00207178308933044
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A new canonical form of multivariable invertible systems is given. This form is suitable for the singular perturbation analysis of such singular problems as multi-variable asymptotic root-loci under high-gain feedback, cheap control, state variable estimation with weak measurement noise, etc. Appropriate selection and decomposition of state variables into slow and fast changing groups is a key feature that loads to well-defined singular perturbation models. The selection of state variables is accomplished without explicitly calculating any eigenvalues of the given system but by knowing the direct relationship of the output and its differential coefficients with the input. The use of the canonical form to characterize the multivariable root-loci under high-gain feedback is demonstrated.
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