Hybrid stabilization of planar linear systems with one-dimensional outputs

We consider a linear control system x′= Ax+ Bu with output y= Cx, where x∈ R 2, u, y∈ R , and give necessary and sufficient conditions in order that it can be stabilized by a hybrid, linear feedback, where the action of the “switch” just depends on the sign of y. We also show, on these conditions, t...

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Bibliographic Details
Published in:Systems & control letters 2002-08, Vol.46 (5), p.303-309
Main Authors: Benassi, Carlo, Gavioli, Andrea
Format: Article
Language:English
Subjects:
Applied sciences
Automaton
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
Hybrid system
Miscellaneous
Stabilization
Transition map
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Summary:We consider a linear control system x′= Ax+ Bu with output y= Cx, where x∈ R 2, u, y∈ R , and give necessary and sufficient conditions in order that it can be stabilized by a hybrid, linear feedback, where the action of the “switch” just depends on the sign of y. We also show, on these conditions, that the use of two control functions is enough for getting the goal.
ISSN:0167-6911
1872-7956
DOI:10.1016/S0167-6911(02)00126-3