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Quantitative design of a class of nonlinear systems with parameter uncertainty
Author(s) -
Oldak S.,
Baril C.,
Gutman P. O.
Publication year - 1994
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.4590040108
Subject(s) - control theory (sociology) , nonlinear system , backlash , class (philosophy) , describing function , scalar (mathematics) , mathematics , quantization (signal processing) , mathematical optimization , computer science , algorithm , control (management) , artificial intelligence , physics , geometry , quantum mechanics
This paper considers the case in which a linear time‐invariant (LTI) but uncertain plant suffers from nonlinearities y=n(x) which can be expressed as y=K n +η(x), |η(x)|≤ M , with K , a possibly uncertain scalar. This covers a large and very important class of nonlinearities encountered in practice such as friction, backlash, dead zone and quantization. Quantitative design techniques are presented for this class for the satisfaction of specifications. Special attention is paid to the avoidance of limit cycles using describing function theory, although the design method is also amenable of application using other stability criteria such as the circle criteria. Numerical examples are developed illustrating the design procedure.