A New Algorithm for the Projection of Polytopes with Applications to
Control
Colin Jones
Abstract
The orthogonal projection of polytopes is a fundamental tool in
many fields, including constrained control. In this talk we will give an
overview of the uses of projection in control and discuss the limitations
of current methods. A new algorithm, dubbed Equality Set Projection (ESP),
will be introduced. This algorithm is particularly suited for polytopes
with a high number of vertices, but a relatively low number of facets. We
will conclude by demonstrating links between this new algorithm and
current work in optimal control.
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