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Fixed‐order robust H ∞ control and control‐oriented uncertainty set shaping for systems with ellipsoidal parametric uncertainty
Author(s) -
Sadeghzadeh Arash,
Momeni Hamidreza
Publication year - 2011
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.1614
Subject(s) - robust control , parametric statistics , control theory (sociology) , controller (irrigation) , ellipsoid , set (abstract data type) , computer science , linear matrix inequality , polynomial , h infinity methods in control theory , mathematical optimization , mathematics , control system , control (management) , engineering , artificial intelligence , biology , agronomy , mathematical analysis , statistics , physics , astronomy , electrical engineering , programming language
In this paper, sufficient conditions for robust output feedback controller design for systems with ellipsoidal parametric uncertainty are given in terms of solutions to a set of linear matrix inequalities. A polynomial method is employed to design a fixed‐order controller that assigns closed‐loop poles within a given region of the complex plane and that satisfies an H ∞ performance specification. The main feature of the proposed method is that it can be extended easily for control‐oriented uncertainty set shaping using a standard input design approach. Consequently, the results can be extended to joint robust control/input design procedure whose controller structure and performance specifications are translated into the requirements on the input signal spectrum used in system identification. This way, model uncertainty set can be tuned for the robust control design procedure. The simulation results show the effectiveness of the proposed method. Copyright © 2010 John Wiley & Sons, Ltd.