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Robust nonlinear feedback design via quantifier elimination theory
Author(s) -
Dorato Peter,
Famularo Domenico,
Abdallah Chaouki T.,
Yang Wey
Publication year - 1999
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(199909)9:11<817::aid-rnc433>3.0.co;2-#
Subject(s) - quantifier elimination , nonlinear system , control theory (sociology) , computer science , mathematics , artificial intelligence , discrete mathematics , control (management) , physics , quantum mechanics
In this note symbolic‐computation methods are used to design simple, fixed‐structure, robust controllers for nonlinear systems. Design specifications are reduced to logically quantified polynomial inequalities. The quantifier‐elimination (QE) software package QEPCAD is used to eliminate quantifiers on state and plant parameters, to obtain regions of admissible controllers parameters, that guarantee robust stability and performance. Copyright © 1999 John Wiley & Sons, Ltd.