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A NOTE ON ROBUST STABILIZATION OF FEEDBACK LINEARIZABLE SYSTEMS
Author(s) -
Wang Le Yi,
Makki Imad,
Zhan Wei
Publication year - 1997
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(199701)7:1<85::aid-rnc209>3.0.co;2-u
Subject(s) - control theory (sociology) , feedback linearization , linearization , nonlinear system , norm (philosophy) , robust control , bounded function , quadratic equation , mathematics , output feedback , exponential stability , linear system , robustness (evolution) , computer science , control (management) , law , mathematical analysis , biochemistry , chemistry , physics , geometry , quantum mechanics , artificial intelligence , political science , gene
The problem of robust stabilization of nonlinear systems with feedback linearizable nominal part and norm‐bounded nonlinear uncertainties is investigated. Necessary and sufficient conditions are obtained for robust stabilization of such systems. A design procedure is developed which combines feedback linearization technique and quadratic stabilization via linear feedback to achieve robust global asymptotic stability. © 1997 by John Wiley & Sons, Ltd.