Explicit robustness margin for contractive piecewise affine control laws - CentraleSupélec Access content directly
Conference Papers Year : 2016

Explicit robustness margin for contractive piecewise affine control laws

Abstract

—This paper deals with the class of discrete-time linear dynamics affected by polytopic uncertainty in closed loop with contractive piecewise affine (PWA) control law. Starting from the hypothesis that the synthesis ensures a λ-contractive PWA control law for the nominal model, the objective is to calculate the robustness margin guaranteeing the contractivity (and consequently the asymptotic stability) of the closed loop dynamics. The robustness margin is represented as a subset of parameters within the set describing the polytopic uncertainty. For all these parameters, the λ-contractive behavior of the trajectories can be certified. This set of parameters is then compared to the set assuring the invariance of the considered closed-loop PWA dynamics which represents a limit case of the robustness study presented here.

Domains

Automatic
Fichier principal
Vignette du fichier
STCC16_Rajesh.pdf (875.83 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01429250 , version 1 (25-03-2017)

Identifiers

Cite

Rajesh Koduri, Pedro Rodriguez-Ayerbe, Sorin Olaru, Morten Hovd. Explicit robustness margin for contractive piecewise affine control laws. 20th International Conference on System Theory, Control and Computing (ICSTCC), Oct 2016, Sinaia, Romania. pp.806 - 811, ⟨10.1109/ICSTCC.2016.7790767⟩. ⟨hal-01429250⟩
442 View
219 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More