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Finite-time Attractive Ellipsoid Method Using Implicit Lyapunov Functions
Abstract : A finite-time version, based on Implicit Lyapunov Functions (ILF), 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 minimization problem of the " size " of the ellipsoid subject to a set of Linear Matrix Inequalities (LMI's) constraints, and by applying the implicit function theorem. A numerical example is presented to support the implementability of these theoretical results.
Cited literature [28 references]
https://hal.inria.fr/hal-01212602
Contributor : Andrey Polyakov <>
Submitted on : Tuesday, October 6, 2015 - 10:20:09 PM
Last modification on : Tuesday, September 29, 2020 - 12:24:10 PM
Long-term archiving on: : Thursday, January 7, 2016 - 11:04:33 AM
Contributor : Andrey Polyakov <>
Submitted on : Tuesday, October 6, 2015 - 10:20:09 PM
Last modification on : Tuesday, September 29, 2020 - 12:24:10 PM
Long-term archiving on: : Thursday, January 7, 2016 - 11:04:33 AM
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