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A generalized homogeneous domination approach for global stabilization of inherently nonlinear systems via output feedback
Author(s) -
Polendo Jason,
Qian Chunjiang
Publication year - 2006
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.1139
Subject(s) - control theory (sociology) , feedback linearization , nonlinear system , observer (physics) , output feedback , linearization , observable , homogeneous , computer science , nonlinear control , controller (irrigation) , class (philosophy) , feedback control , mathematics , control engineering , control (management) , engineering , artificial intelligence , physics , quantum mechanics , combinatorics , agronomy , biology
In this paper, we introduce a generalized framework for global output feedback stabilization of a class of uncertain, inherently nonlinear systems of a particularly complex nature since their linearization around the equilibrium is not guaranteed to be either controllable or observable. Based on a new observer/controller construction and a homogeneous domination design, this framework not only unifies the existing output feedback stabilization results, but also leads to more general results which have been never achieved before, establishing this methodology as a universal tool for the global output feedback stabilization of inherently nonlinear systems. Copyright © 2006 John Wiley & Sons, Ltd.