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An improved approach to robust stability analysis and controller synthesis for LPV systems
Author(s) -
Song Lei,
Yang Jianying
Publication year - 2010
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.1655
Subject(s) - control theory (sociology) , affine transformation , robust control , stability (learning theory) , linear matrix inequality , variable (mathematics) , controller (irrigation) , quadratic equation , computer science , mathematics , mathematical optimization , control system , engineering , control (management) , mathematical analysis , agronomy , geometry , artificial intelligence , machine learning , pure mathematics , electrical engineering , biology
This paper revisits the problem of robust stability analysis and synthesis for linear parameter varying (LPV) systems. By introducing two new slack variables, new conditions for the polyquadratic stability and for the affine quadratic stability of LPV systems are presented in terms of linear matrix inequalities. These results are then applied for robust controller synthesis. Owing to the extra freedom degree introduced by the real slack variable, this proposed approach could lead to less conservative results than that of from the literature, especially for robust controller synthesis. The effectiveness and superiority are demonstrated by the comparison between this proposed approach and the existing results on a well‐known numerical example. Copyright © 2010 John Wiley & Sons, Ltd.