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PARAMETER‐DEPENDENT LYAPUNOV FUNCTION APPROACH TO STABILITY ANALYSIS AND DESIGN FOR POLYTOPIC SYSTEMS WITH INPUT SATURATION
Author(s) -
Cao YongYan,
Fang Kangling
Publication year - 2007
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1111/j.1934-6093.2007.tb00298.x
Subject(s) - control theory (sociology) , lyapunov function , saturation (graph theory) , lyapunov redesign , stability (learning theory) , mathematics , computer science , mathematical optimization , nonlinear system , control (management) , physics , quantum mechanics , artificial intelligence , combinatorics , machine learning
This paper is devoted to stability analysis and synthesis of uncertain systems subject to input saturation. A new parameter‐dependent Lyapunov function analyzing approach is proposed to reduce the conservatism in stability analysis for the polytopic systems subject to input saturation. Some new stability conditions and a gain‐scheduling controller design method are then developed by the LMI optimization based approach. Numerical examples are used to demonstrate the effectiveness of the proposed design approach.