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author:

Yang, F. (Yang, F..) [1] | Wang, Z. (Wang, Z..) [2] | Ho, D.W.C. (Ho, D.W.C..) [3] | Gani, M. (Gani, M..) [4]

Indexed by:

Scopus

Abstract:

In this technical note, the robust H∞ control problem is investigated for a class of stochastic uncertain discrete time-delay systems with missing measurements. The parameter uncertainties enter into the state matrices, and the missing measurements are described by a binary switching sequence satisfying a conditional probability distribution. The purpose of the problem is to design a full-order dynamic feedback controller such that, for all possible missing observations and admissible parameter uncertainties, the closed-loop system is asymptotically mean-square stable and satisfies the prescribed H∞ performance constraint. Delay-dependent conditions are derived under which the desired solution exists, and the controller parameters are designed by solving a linear matrix inequality (LMI). A numerical example is provided to illustrate the usefulness of the proposed design method. © 2007 IEEE.

Keyword:

H∞ control; Missing measurements; Parameter uncertainty; Robust control; Time-delay systems

Community:

  • [ 1 ] [Yang, F.]Department of Electrical Engineering, Fuzhou University, Fuzhou 350002, China
  • [ 2 ] [Yang, F.]Department of Electronic Engineering, King's College London, Strand, London WC2R 2LS, United Kingdom
  • [ 3 ] [Yang, F.]Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex UB8 3PH, United Kingdom
  • [ 4 ] [Wang, Z.]Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex UB8 3PH, United Kingdom
  • [ 5 ] [Ho, D.W.C.]Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong
  • [ 6 ] [Gani, M.]Department of Electronic Engineering, King's College London, Strand, London WC2R 2LS, United Kingdom

Reprint 's Address:

  • [Yang, F.]Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex UB8 3PH, United Kingdom

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Source :

IEEE Transactions on Automatic Control

ISSN: 0018-9286

Year: 2007

Issue: 9

Volume: 52

Page: 1666-1672

2 . 8 2 4

JCR@2007

6 . 2 0 0

JCR@2023

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 142

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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