Reset passivation of nonlinear controllers via a suitable time-regular reset map

[en] For a class of square continuous-time nonlinear controllers we design a suitable resetting rule inspired by the resetting rule for Clegg integrators and First Order Reset Elements (FORE). With this rule, we prove that the arising hybrid system with temporal regularization is passive in the conventional continuous-time sense with a small shortage of input passivity decreasing with the temporal regularization constant. Based on the passivity property, we then investigate the finite gain stability of the interconnection between this passive controller and a passive nonlinear plant.

Disciplines :

Engineering, computing & technology: Multidisciplinary, general & others

Author, co-author :

Forni, Fulvio ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation

Nešić, Dragan; University of Melbourne, Australia > EEE Department

Zaccarian, Luca; University of Rome, Tor Vergata > Dipartimento di informatica, Sistemi e Produzione

Language :

English

Title :

Reset passivation of nonlinear controllers via a suitable time-regular reset map

Publication date :

2011

Journal title :

Automatica

ISSN :

0005-1098

Publisher :

Pergamon Press - An Imprint of Elsevier Science, Oxford, United Kingdom

Volume :

Issue :

Pages :

2099-2106

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 12 January 2012

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Bibliography

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