An example with interesting controllability and stabilisation properties

A simple three-state system with two inputs is considered. The system's controllability is determined using properties of vector-valued quadratic forms. The quadratic structure is then used as the basis for the design of a homogeneous, discontinuous, stabilizing feedback controller. The paper s...

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Bibliographic Details
Published inProceedings of the 45th IEEE Conference on Decision and Control pp. 3748 - 3753
Main Authors Hirschorn, R.M., Lewis, A.D.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2006
Subjects
Adaptive control
Control systems
Controllability
Feedback control
Lyapunov method
Mathematics
Open loop systems
State feedback
Statistical analysis
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Summary:A simple three-state system with two inputs is considered. The system's controllability is determined using properties of vector-valued quadratic forms. The quadratic structure is then used as the basis for the design of a homogeneous, discontinuous, stabilizing feedback controller. The paper should be seen as an attempt to relate controllability of a system from a point to stabilisability of the system to the same point
ISBN:9781424401710
1424401712
ISSN:0191-2216
DOI:10.1109/CDC.2006.377783