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
Main Authors: Hirschorn, R.M., Lewis, A.D.
Format: Conference Proceeding
Language:English
Subjects:
Adaptive control
Control systems
Controllability
Feedback control
Lyapunov method
Mathematics
Open loop systems
State feedback
Statistical analysis
USA Councils
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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
ISSN:0191-2216
DOI:10.1109/CDC.2006.377783