Feedback stabilization of planar nonlinear systems

The stabilization of second-order control systems by smooth state feedback is addressed. A reduction procedure proposed in [8] is applied in order to reduce the problem to the stabilization of a first-order control system by a C 2 feedback function. Generic sufficient conditions are given for the so...

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Bibliographic Details
Published in:Systems & control letters 1989, Vol.12 (1), p.87-92
Main Authors: Boothby, William M., Marino, Riccardo
Format: Article
Language:English
Subjects:
Applied sciences
center manifold
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
Feedback stabilization
nonlinear two-dimensional control systems
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Summary:The stabilization of second-order control systems by smooth state feedback is addressed. A reduction procedure proposed in [8] is applied in order to reduce the problem to the stabilization of a first-order control system by a C 2 feedback function. Generic sufficient conditions are given for the solution of the last problem and, by the reduction procedure, of the first problem as well. Counter-examples show that the conditions are not necessary and which kind of pathologies may arise.
ISSN:0167-6911
1872-7956
DOI:10.1016/0167-6911(89)90100-X