Communication Dans Un Congrès Année : 2019

Lyapunov-based reset control

Résumé

More than 50 years ago, J.C. Clegg proposed a modified version of the analog integrator introducing suitable state resets and showing improved performance in terms of phase lag, at least as seen from a describing function analysis of the intricate nonlinear phenomenon behind state resets. With certain modern tools arising from recent hybrid dynamical systems representations, it is now possible to revisit that strategy, provide Lyapunov-based (therefore robust) guarantees of its stability and performance, and reach beyond stable linear filters involving resets. This talk covers 15 years of research activity within this framework, emphasizing the advantages and the challenges. A number of reset control strategies, stemming from generalizations of the original paradigm of Clegg, will be discussed. Among other things, we will emphasize the suggestive idea of homogeneous closed loops with reset controllers whose solutions converge exponentially to zero by way of exponentially unstable branches. The talk will be mostly focused on stabilization, but will hopefully also touch upon set-point regulation and reference tracking. Theoretical results will be discussed, together with some experimental and industrial validations within the automotive field.

Fichier non déposé

Dates et versions

hal-04935633 , version 1 (07-02-2025)

Identifiants

  • HAL Id : hal-04935633 , version 1

Citer

Luca Zaccarian. Lyapunov-based reset control. 2019 IFAC Joint Workshop on Nonlinear Control Design (NOLCOS) and Mechatronics, Andreas Kugi; Andrew R. Teel, Sep 2019, Wien, Austria. ⟨hal-04935633⟩
68 Consultations
0 Téléchargements

Partager

  • More