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Finite-time attractive ellipsoid method: implicit Lyapunov function approach.
- Source :
-
International Journal of Control . Jun2016, Vol. 89 Issue 6, p1079-1090. 12p. - Publication Year :
- 2016
-
Abstract
- A finite-time version, based on implicit Lyapunov functions (ILFs), for the attractive ellipsoid method (AEM) is developed. Based on this, a robust control scheme is presented to ensure finite-time convergence of the solutions of a chain of integrators with bounded output perturbations to a minimal ellipsoidal set. The control parameters are obtained by solving a minimisation problem of the ‘size’ of the ellipsoid subject to a set of linear matrix inequalities (LMIs) constraints, and by applying the implicit function theorem. A numerical example is presented to support the implementability of these theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207179
- Volume :
- 89
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- International Journal of Control
- Publication Type :
- Academic Journal
- Accession number :
- 114015409
- Full Text :
- https://doi.org/10.1080/00207179.2015.1118660