Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
ISSN-L : 1342-5668
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A New Parameter-Dependent LMI for Synthesis of Discrete-Time Gain-Scheduled Control Systems
Izumi MasubuchiRyo MatsusakaYuzo Ohta
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2014 Volume 27 Issue 2 Pages 36-41

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Abstract

This paper considers synthesis of gain-scheduled (GS) controllers for discrete-time linear parameter-varying systems. We propose a new parameter-dependent LMI condition for synthesis whose solution gives a GS controller. Derivation of the proposed LMI does not depend on a sufficient condition that the previous paper introduced via matrix augmentation and forcing some of the variables to be indenpendent of the scheduling parameter to obtain an LMI for synthesis. Numerical examples are provided to illustrate that the proposed method can synthesize a gain-scheduled controller with a smaller upper bound of closed-loop l2 gain.

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© 2014 The Institute of Systems, Control and Information Engineers
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