Universal formula for robust stabilization of affine nonlinear multistable systems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year :

Universal formula for robust stabilization of affine nonlinear multistable systems

Abstract

In this paper, the problem of robust stabilization of affine nonlinear multistable systems with respect to disturbance inputs is studied. The results are obtained using the framework of input-to-state stability (ISS) and integral input-to-state stability (iISS) for systems with multiple invariant sets. The notions of ISS and iISS control Lyapunov functions as well as the small control property are extended within the multistability framework. It is verified that the universal control formula can be applied to yield the ISS (iISS) property to the closed-loop system. The efficiency of the proposed control Lyapunov function in the multistable sense is illustrated in two academic examples.

Domains

Automatic
Fichier principal
Vignette du fichier
BUE_CDC_Hall.pdf (246.89 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02340333 , version 1 (30-10-2019)

Identifiers

  • HAL Id : hal-02340333 , version 1

Cite

Nelson F Barroso, Rosane Ushirobira, Denis Efimov. Universal formula for robust stabilization of affine nonlinear multistable systems. Conference on Decision and Control, Dec 2019, Nice, France. ⟨hal-02340333⟩
42 View
117 Download

Share

Gmail Facebook Twitter LinkedIn More