H∞ control of discrete-time linear systems with time-varying delays in state

Authors:
Seong-Ho Song;Jeom-Keun Kim;Choong-Hyuk Yim;Ho-Chan Kim
Affiliations:
Department of Electronics Engineering, Hallym University, 1 Okchon-Dong, Chunchon, Kangwon-Do, South Korea;Department of Electronics Engineering, Hallym University, 1 Okchon-Dong, Chunchon, Kangwon-Do, South Korea;Department of Manufacturing Automation, Seoul National University of Technology, Seoul, South Korea;Department of Electrical Engineering, Cheju National University, 1, Ara 1-Dong, Cheju, Cheju-Do, 690-756, South Korea
Venue:
Automatica (Journal of IFAC)
Year:
1999

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Abstract

This paper deals with the H"~ control problems for discrete-time linear systems with time-varying delays in state. In this paper, the H"~ control law is assumed to be a memoryless state feedback and the size of time-varying delays considered is upper-bounded. The solution of the H"~ control problem for discrete-time linear systems with time-varying delays in state can be obtained by solving an H"~ control problem for auxiliary discrete-time linear systems with no time delays.