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Robust finite-time stabilization and observation of a planar system revisited

Polyakov, Andrey and Orlov, Yuri and Oza, Harshal and Spurgeon, Sarah K. (2016) Robust finite-time stabilization and observation of a planar system revisited. In: 2015 54th IEEE Conference on Decision and Control (CDC). IEEE, pp. 5689-5694. ISBN 978-1-4799-7884-7. E-ISBN 978-1-4799-7886-1. (doi:10.1109/CDC.2015.7403112) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:60683)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL:
https://dx.doi.org/10.1109/CDC.2015.7403112

Abstract

The second order planar nonlinear affine control problem is studied. A homogeneous robust finite-time stabilizing control is developed for the most general case of matched and, the more challenging, mismatched nonlinear perturbations. A homogeneous observer is designed for the planar system. Explicit restrictions on the observer gains and nonlinearities are presented. The main contribution lies in the proposed combination of the explicit and implicit Lyapunov function methods as well as weighted homogeneity while providing finite-time stability analysis. Theoretical results are supported by numerical simulations.

Item Type: Book section
DOI/Identification number: 10.1109/CDC.2015.7403112
Uncontrolled keywords: observers; Lyapunov methods; stability analysis; asymptolic stability; robustness; upper bound; numerical stability
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Engineering and Digital Arts
Depositing User: Sarah Spurgeon OBE
Date Deposited: 03 Mar 2017 12:30 UTC
Last Modified: 17 Aug 2022 12:21 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/60683 (The current URI for this page, for reference purposes)
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