Sufficient Lie Algebraic Conditions for Sampled-Data Feedback Stabilization
John Tsinias, Dionysis Theodosis
TL;DR
This paper establishes Lie algebraic conditions that guarantee semi-global stabilization of nonlinear affine control systems using sampled-data feedback, and applies these conditions to specific three-dimensional systems.
Contribution
It introduces new Lie algebraic criteria for sampled-data feedback stabilization of nonlinear affine systems, extending previous results to semi-global cases.
Findings
Derived sufficient Lie algebraic conditions for stabilization.
Applied conditions to specific three-dimensional systems.
Demonstrated effectiveness through examples.
Abstract
For nonlinear affine in the control systems, a Lie algebraic sufficient condition for sampled-data feedback semi-global stabilization is established. We use this result, in order to derive sufficient conditions for sampled-data feedback stabilization for a couple of three-dimensional systems.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdaptive Control of Nonlinear Systems · Stability and Control of Uncertain Systems · Guidance and Control Systems