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Stability analysis and control of a class of differential‐algebraic nonlinear systems
Author(s) -
Coutinho D. F.,
Bazanella A. S.,
Trofino A.,
e Silva A. S.
Publication year - 2004
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.950
Subject(s) - nonlinear system , lyapunov function , linear matrix inequality , algebraic number , polynomial , differential (mechanical device) , mathematics , class (philosophy) , domain (mathematical analysis) , control theory (sociology) , stability (learning theory) , computation , matrix (chemical analysis) , computer science , control (management) , mathematical optimization , mathematical analysis , algorithm , engineering , physics , materials science , quantum mechanics , artificial intelligence , machine learning , composite material , aerospace engineering
A new methodology based on the linear matrix inequality (LMI) framework is presented for the computation of polynomial Lyapunov functions for differential–algebraic nonlinear systems. The method is applied for estimating the domain of attraction of equilibria and also as a control design tool to increase the damping of the system. Numerical examples are used to demonstrate the approach. The results show the potential of the proposed approach as a tool for analysis and control design. Copyright © 2004 John Wiley & Sons, Ltd.