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Stabilization for a class of minimum phase hybrid systems under an average dwell‐time constraint
Author(s) -
Teel A. R.,
Marconi L.
Publication year - 2010
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1632
Subject(s) - dwell time , unitary state , constraint (computer aided design) , control theory (sociology) , minimum phase , nonlinear system , class (philosophy) , mathematics , exponential stability , zero (linguistics) , state (computer science) , degree (music) , set (abstract data type) , stability (learning theory) , phase (matter) , mathematical optimization , control (management) , computer science , law , algorithm , philosophy , artificial intelligence , linguistics , chemistry , acoustics , geometry , quantum mechanics , machine learning , political science , programming language , medicine , clinical psychology , physics , organic chemistry
We consider the class of nonlinear systems in normal form with unitary relative degree whose zero and output dynamics are affected by state jumps fulfilling an average dwell‐time constraint. Under a minimum‐phase assumption requiring the existence of a compact set, which is globally pre‐asymptotically stable for the hybrid zero dynamics, we show how to design continuous, global state‐ and semiglobal output‐feedback control laws. The proposed design methodology extends to the considered class of hybrid systems well‐known design techniques for robustly stabilizing the class of continuous‐time minimum‐phase nonlinear systems having unitary relative degree. Examples are given to show the usefulness of the technical result. Copyright © 2010 John Wiley & Sons, Ltd.