Acceleration of finite-time stable homogeneous systems - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue International Journal of Robust and Nonlinear Control Année : 2018

Acceleration of finite-time stable homogeneous systems

Résumé

Stabilization rates of power-integrator chains are easily regulated. It provides a framework for acceleration of uncertain multi-input multi-output (MIMO) dynamic systems of known relative degrees (RDs). The desired rate of the output stabilization (sliding-mode (SM) control) is ensured for an uncertain system, if its RD is known, and a rough approximation of the high-frequency gain matrix is available. The uniformly bounded convergence time (fixed-time stability) is obtained as a particular case. The control can be kept continuous everywhere accept the SM set, if the partial RDs are equal. Similarly uncertain smooth systems of complete MIMO RDs (i.e. lacking zero dynamics) are stabilized by continuous control at their equilibria in finite time and also accelerated. Output-feedback controllers are constructed. Computer simulation demonstrates the efficiency of the proposed approach.
Fichier principal
Vignette du fichier
_AccMIMO.pdf (1.49 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01611961 , version 1 (06-10-2017)

Identifiants

Citer

Yotam Dvir, Arie Levant, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti. Acceleration of finite-time stable homogeneous systems. International Journal of Robust and Nonlinear Control, 2018, 00, pp.1 - 23. ⟨10.1002/rnc⟩. ⟨hal-01611961⟩
402 Consultations
290 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More