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Mobile QR Code QR CODE : The Transactions of the Korean Institute of Electrical Engineers
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  • 한국과학기술단체총연합회
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Title Design of H_∞ Control for Uncertain Linear Systems with Eigenvalue Assignment Constraint in a Disk
Authors 마삼선(Ma, Sam-Seon) ; 김진훈(Kim, Jin-Hun)
Page pp.520-525
ISSN 1975-8359
Keywords H_∞Control ; Eigenvalue Assignment ; Uncertainty ; Disk ; LMI
Abstract This paper deals with the design of H∞ control for uncertain linear systems with the regional eigenvalue assignment constraint. The considered region is a disk in the left half plane and the two types of time-varying uncertainties are considered. We presents a state feedback control that minimize the L2 gain from the disturbance to the measured output as well as it guarantees that all eigenvalues of closed loop are inside a disk. The state feedback control is obtained by checking the feasibility of linear matrix inequalities (LMI's) which are numerically tractable. Finally we give an example to show the applicability and usefulness of our results.