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Global control of nonlinear systems with uncertain output function using homogeneous domination approach
Author(s) -
Zhai Junyong,
Qian Chunjiang
Publication year - 2011
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.1765
Subject(s) - control theory (sociology) , nonlinear system , integrator , scaling , output feedback , double integrator , controller (irrigation) , homogeneous , mathematics , class (philosophy) , function (biology) , triangular matrix , nonlinear control , computer science , control (management) , physics , computer network , geometry , bandwidth (computing) , quantum mechanics , artificial intelligence , combinatorics , evolutionary biology , pure mathematics , agronomy , invertible matrix , biology
SUMMARY This paper addresses the problem of using output feedback to globally control a class of nonlinear systems whose output functions are not precisely known. First, for the nominal linear system, we design a homogeneous state compensator without requiring precise information of the output function, and construct a nonlinear stabilizer with adjustable coefficients by using the generalized adding a power integrator technique. Then based on the homogeneous domination approach, a scaling gain is introduced into the proposed output feedback controller, which can be used by tuning the scaling gain to solve: (i) the problem of global output feedback stabilization for a class of upper‐triangular systems; and (ii) the problem of global practical output tracking for a class of lower‐triangular systems. Copyright © 2011 John Wiley & Sons, Ltd.