Direction control of bilinear systems. I
Abdon Choque, Valeri Marenitch
TL;DR
This paper investigates controllability conditions for three-dimensional bilinear control systems satisfying the Lie algebra rank condition, focusing on their projected systems on the two-dimensional sphere, to enhance understanding of their control capabilities.
Contribution
It provides new sufficient controllability conditions for projected systems of bilinear control systems on the sphere, extending prior results to a broader class of systems.
Findings
Established controllability conditions for projected systems on the sphere
Extended controllability analysis to systems satisfying the LARC with open control sets
Provided theoretical criteria for control system design
Abstract
We consider the general bilinear control systems in three-dimensional Euclidean space which satisfy the LARC and have an open control set U; and give sufficient controllability conditions for corresponding projected systems on two-dimensional sphere.
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Taxonomy
TopicsControl and Dynamics of Mobile Robots · Aerospace Engineering and Control Systems