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Gain‐scheduled ℋ︁ 2 controller synthesis for linear parameter varying systems via parameter‐dependent Lyapunov functions
Author(s) -
de Souza Carlos E.,
Trofino Alexandre
Publication year - 2006
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.1040
Subject(s) - lyapunov function , parameterized complexity , mathematics , control theory (sociology) , linear matrix inequality , gain scheduling , convex optimization , bounded function , controller (irrigation) , matrix (chemical analysis) , parameter space , linear system , regular polygon , mathematical optimization , nonlinear system , computer science , mathematical analysis , control (management) , combinatorics , statistics , physics , geometry , materials science , quantum mechanics , artificial intelligence , agronomy , composite material , biology
This paper deals with the problem of gain‐scheduled ℋ 2 control for linear parameter‐varying systems. The system state–space model matrices are affinely parameterized and the admissible values of the parameters and their rate of variation are supposed to belong to a given convex bounded polyhedral domain. Based on a parameter‐dependent Lyapunov function, a linear matrix inequality methodology is proposed for designing a gain‐scheduled state feedback ℋ 2 controller, where the feedback gain is a matrix fraction of polynomial matrices with quadratic dependence on the scheduling parameters. Copyright © 2005 John Wiley & Sons, Ltd.