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

Seong Ho Song; Jeom Keun Kim; Choong Hyuk Yim; Ho Chan Kim

doi:10.1016/S0005-1098(99)00057-6

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

Seong Ho Song, Jeom Keun Kim, Choong Hyuk Yim, Ho Chan Kim

Dept. of Mechanical System and Design Engineering

Research output: Contribution to journal › Article › peer-review

87 Scopus citations

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.

Original language	English
Pages (from-to)	1587-1591
Number of pages	5
Journal	Automatica
Volume	35
Issue number	9
DOIs	https://doi.org/10.1016/S0005-1098(99)00057-6
State	Published - Sep 1999

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title = "H∞ control of discrete-time linear systems with time-varying delays in state",

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.",

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AU - Kim, Jeom Keun

AU - Yim, Choong Hyuk

AU - Kim, Ho Chan

PY - 1999/9

Y1 - 1999/9

N2 - 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.

AB - 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.

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U2 - 10.1016/S0005-1098(99)00057-6

DO - 10.1016/S0005-1098(99)00057-6

M3 - Article

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VL - 35

SP - 1587

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JO - Automatica

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IS - 9

ER -

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

Abstract

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