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Symmetry Reduction, Contact Geometry, and Partial Feedback Linearization

De Dona, Jose; Tehseen, N; Vassiliou, Peter


Let Pfaffian system omega define an intrinsically nonlinear control system which is invariant under a Lie group of symmetries G. Using the contact geometry of Brunovsky normal forms and symmetry reduction, this paper solves the problem of constructing subsystems alpha subset of omega such that alpha defines a static feedback linearizable control system. A method for representing the trajectories of omega from those of alpha using reduction by a distinguished class G of Lie symmetries is...[Show more]

CollectionsANU Research Publications
Date published: 2018
Type: Journal article
Source: Siam Journal on Control and Optimization
DOI: 10.1137/15M1046538
Access Rights: Open Access


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