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Gain Scheduled Discrete Time Control for Disturbance Attenuation of Systems with Bounded Control Input  

Kang, Min-Sig (Department of Department of Mechanical and Automotive Engineering, Kyungwon Univ.)
Yoon, Woo-Hyun (Department of Civil Engineering, Kyungwon Univ.)
Publication Information
Journal of the Korean Society for Precision Engineering / v.26, no.3, 2009 , pp. 32-39 More about this Journal
Abstract
A new discrete time gain-scheduled control design is proposed to improve disturbance attenuation for systems with bounded control input under known disturbance maximum norm. The state feedback gains are scheduled according to the proximity of the state of the plant to the origin. The controllers are derived in the framework of linear matrix inequality(LMI) optimization. This procedure yields a linear time varying control structure that allows higher gain and hence higher performance controllers as the state moves closer to the origin. The main results give sufficient conditions for the satisfaction of a parameter-dependent performance measure, without violating the bounded control input condition under the given disturbance maximum norm.
Keywords
Input Constraint; Disturbance; Discrete-time Gain Scheduled Control; Linear Matrix Inequality (LMI); $L_2$-Gain;
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Times Cited By KSCI : 3  (Citation Analysis)
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