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Feedback Design Using Nonsmooth Control Lyapunov Functions: A Numerical Case Study for the Nonholonomic Integrator

URN to cite this document: urn:nbn:de:bvb:703-epub-3247-8

Title data

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M.:
Feedback Design Using Nonsmooth Control Lyapunov Functions: A Numerical Case Study for the Nonholonomic Integrator.
Bayreuth , 2017 . - 8 S.

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Project information

Project title:
Project's official titleProject's id
Activating Lyapunov-Based Feedback - Nonsmooth Control Lyapunov FunctionsG1500106

Project financing: ARC (Australian Research Council)

Abstract

Theoretical results for the existence of (nonsmooth) control Lyapunov functions (CLFs) for nonlinear systems asymptotically controllable to the origin or a closed set have been available since the late 1990s. Additionally, robust feedback stabilizers based on such CLFs have also been available though, to the best of our knowledge, these stabilizers have not been implemented. Here, we numerically investigate the properties of the closed loop solutions of the nonholonomic integrator using three control techniques based on the knowledge of two different nonsmooth CLFs. In order to make the paper self-contained, we review theoretical results on the existence of nonsmooth CLFs.

Further data

Item Type: Preprint, postprint
Keywords: Lyapunov Methods; Stability of Nonlinear Systems; Nonholonomic Systems
DDC Subjects: 500 Science > 510 Mathematics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics (Applied Mathematics)
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Profile Fields
Profile Fields > Advanced Fields
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-3247-8
Date Deposited: 20 Mar 2017 08:45
Last Modified: 28 Mar 2019 10:36
URI: https://epub.uni-bayreuth.de/id/eprint/3247

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