The linearization of a Composite Large-scale Nonlinear System

This paper studies the linearization of a similar large-scale nonlinear control system using differential geometry methods. The large-scale nonlinear control system consists of N n-dimensional subsystems which have similar characteristic and relation. It is shown that the large-scale nonlinear contr...

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Bibliographic Details
Main Authors: Han Zhi-tao, Jing Yuanwei, Duan Xiaodong, Zhang Siying
Format: Conference Proceeding
Language:English
Subjects:
Characteristic index
Composite Large-scale nonlinear control system
Computational geometry
Control systems
Controllability
Educational institutions
Feedback
Information science
Large-scale systems
Linearization
Nonlinear control systems
Nonlinear systems
Observability
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Summary:This paper studies the linearization of a similar large-scale nonlinear control system using differential geometry methods. The large-scale nonlinear control system consists of N n-dimensional subsystems which have similar characteristic and relation. It is shown that the large-scale nonlinear control system is linearizable at the neighbour of one point if and only if each subsystem has m output functions and the sum of the corresponding characteristic index is equal to the dimension of the subspace n and the index matrix has rank m.
ISSN:1934-1768
2161-2927
DOI:10.1109/CHICC.2006.280856