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Nonsmooth stabilizability and feedback linearization of discrete‐time nonlinear systems
Author(s) -
Simões C.,
Nijmeijer H.,
Tsinias J.
Publication year - 1996
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/(sici)1099-1239(199604)6:3<171::aid-rnc140>3.0.co;2-0
Subject(s) - feedback linearization , control theory (sociology) , linearization , nonlinear system , discrete time and continuous time , mathematics , computer science , control (management) , physics , artificial intelligence , statistics , quantum mechanics
We consider the problem of stabilizing a discrete‐time nonlinear system using a feedback which is not necessarily smooth. A sufficient condition for global dynamical stabilizability of single‐input triangular systems is given. We obtain conditions expressed in terms of distributions for the nonsmooth feedback triangularization and linearization of discrete‐time systems. Relations between stabilization and linearization of discrete‐time systems are given.