Invariant manifolds in control problems
Abstract: Invariant manifolds are useful tools for the investigation of nearly all nonlinear systems. Especially for the determination of stabilizing controls the center‐stable manifold characterizes the proper feedback controls. The method is demonstrated for the stabilization of a tethered satellite in the local vertical position by applying tension control. While in‐plane perturbations can be extinguished in finite time, the tension control acts as parametric excitation for out‐of‐plane perturbations and is only able to cause a slow algebraic decay for both kinds of perturbations. An analytical or numerical power series expansion of the center‐stable manifold at the target state provides the proper feedback controls.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
Invariant manifolds in control problems ; volume:19 ; number:1 ; year:2019 ; extent:4
Proceedings in applied mathematics and mechanics ; 19, Heft 1 (2019) (gesamt 4)
- Urheber
-
Steindl, Alois
- DOI
-
10.1002/pamm.201900479
- URN
-
urn:nbn:de:101:1-2022072208342987318952
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
15.08.2025, 07:20 MESZ
Datenpartner
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Steindl, Alois
Ähnliche Objekte (12)
Invariant manifolds
A symplectic invariant for contact manifolds
Stabilization of DAEs and invariant manifolds
An analytic invariant of G2 manifolds
Normally hyperbolic invariant manifolds in dynamical systems
Circuits with a mem-element: invariant manifolds control via pulse programmed sources
Hyperbolicity & invariant manifolds for finite-time processes
Invariant manifolds for physical and chemical kinetics
Cone-like Invariant Manifolds for Nonsmooth Systems
Invariant Manifolds for the Thin Film Equation
Computation of nonautonomous invariant and inertial manifolds
Invariant manifolds with boundary for jump-diffusions
Invariant manifolds
A symplectic invariant for contact manifolds
Stabilization of DAEs and invariant manifolds
An analytic invariant of G2 manifolds
Normally hyperbolic invariant manifolds in dynamical systems
Circuits with a mem-element: invariant manifolds control via pulse programmed sources
Hyperbolicity & invariant manifolds for finite-time processes
Invariant manifolds for physical and chemical kinetics
Cone-like Invariant Manifolds for Nonsmooth Systems
Invariant Manifolds for the Thin Film Equation
Computation of nonautonomous invariant and inertial manifolds
Invariant manifolds with boundary for jump-diffusions
Invariant manifolds
A symplectic invariant for contact manifolds
Stabilization of DAEs and invariant manifolds
An analytic invariant of G2 manifolds
Normally hyperbolic invariant manifolds in dynamical systems
Circuits with a mem-element: invariant manifolds control via pulse programmed sources
Hyperbolicity & invariant manifolds for finite-time processes
Invariant manifolds for physical and chemical kinetics
Cone-like Invariant Manifolds for Nonsmooth Systems
Invariant Manifolds for the Thin Film Equation
Computation of nonautonomous invariant and inertial manifolds