TY - JOUR
T1 - Finite-time attractive ellipsoidmethod
T2 - Implicit lyapunov function approach
AU - Mera, Manuel
AU - Polyakov, Andrey
AU - Perruquetti, Wilfrid
N1 - Publisher Copyright:
© 2015 Taylor & Francis. All rights reserved.
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
KW - Ellipsoid methods
KW - Finite time
KW - Implicit Lyapunov functions
KW - Robust control
UR - http://www.scopus.com/inward/record.url?scp=84949791799&partnerID=8YFLogxK
U2 - 10.1080/00207179.2015.1118660
DO - 10.1080/00207179.2015.1118660
M3 - Artículo
SN - 0020-7179
VL - 89
SP - 1079
EP - 1090
JO - International Journal of Control
JF - International Journal of Control
IS - 6
ER -