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Conference Papers Year : 1997

Constrained robust guaranteed cost control for uncertain linear time-delay systems

Abstract

This paper is concerned with constrained robust guaranteed cost control for uncertain linear time-delay systems using a linear matrix inequality (LMI) approach. Provided with necessary conditions, the problem considered is to design a static state feedback controller for a class of linear uncertain time-delay systems such that the following three goals are achieved simultaneously 1). The closed-loop systems with this controller are robustly stable; 2). A given quadratic performance index for the systems is guaranteed to be below a known upper bound; and 3). The control input is norm-bounded. We show that the solvability of the addressed problem is implied by the feasibility of some linear matrix inequalities.
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Dates and versions

hal-02301669 , version 1 (30-09-2019)

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  • HAL Id : hal-02301669 , version 1

Cite

Alexandre Trofino, Huaizhong Li, Luc Dugard, Jean-Michel Dion, Silviu-Iulian Niculescu. Constrained robust guaranteed cost control for uncertain linear time-delay systems. Proceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5), Dec 1997, San Diego, CA, USA, United States. pp.1615-1620. ⟨hal-02301669⟩
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