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An LMI approach to guaranteed cost control of linear uncertain time-delay systems

Automatica (Oxford), 1999-06, Vol.35 (6), p.1155-1159 [Peer Reviewed Journal]

1999 Elsevier Science Ltd ;1999 INIST-CNRS ;ISSN: 0005-1098 ;EISSN: 1873-2836 ;DOI: 10.1016/S0005-1098(99)00007-2 ;CODEN: ATCAA9

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  • Title:
    An LMI approach to guaranteed cost control of linear uncertain time-delay systems
  • Author: Yu, Li ; Chu, Jian
  • Subjects: Applied sciences ; Computer science; control theory; systems ; Control system synthesis ; Control theory. Systems ; Delay ; Exact sciences and technology ; Guaranteed cost control ; LMI ; Robust control ; Uncertain systems
  • Is Part Of: Automatica (Oxford), 1999-06, Vol.35 (6), p.1155-1159
  • Description: The guaranteed cost control problem via memoryless state feedback controllers is studied in this paper for a class of linear time-delay systems with norm-bounded time-varying parametric uncertainty and a given quadratic cost function. Sufficient conditions for the existence of guaranteed cost controllers are given in terms of linear matrix inequalities (LMIs). Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controller which minimizes the guaranteed cost of the closed-loop uncertain system.
  • Publisher: Oxford: Elsevier Ltd
  • Language: English
  • Identifier: ISSN: 0005-1098
    EISSN: 1873-2836
    DOI: 10.1016/S0005-1098(99)00007-2
    CODEN: ATCAA9
  • Source: Alma/SFX Local Collection

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