Robust stability of linear systems with delayed perturbations

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Tarih

2004

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, a new sufficient delay independent robust stability condition is introduced for a class of linear systems with unstructured time-varying delayed perturbations. The stability condition is formulated in terms of the solution of a Lyapunov equation. Since this method needs the tuning of a positive definite symmetric matrix for which there is no any tuning procedure, the stability condition is also given in a solvable linear matrix inequalities (LMI) form. The LMI formulation does not require the tuning of any parameter. The result based on the solution of a Lyapunov equation is analytically shown that the robust stability bound is invariant when a system and its dual system with constant delay time are considered. A numerical example is given for the computation of the robust stability bound. A brief comparison with the previously reported results is also presented.

Açıklama

2004 5th Asian Control Conference -- 20 July 2004 through 23 July 2004 -- Melbourne -- 64524

Anahtar Kelimeler

Asymptotic Stability, Functions, Lyapunov Methods, Mathematical Models, Matrix Algebra, Optimization, Perturbation Techniques, Robustness (Control Systems), Linear Matrix İnequalities (Lmı), Stabilizing Controllers, Time-Varying Delayed, Time-Varying Perturbations, Linear Systems

Kaynak

2004 5th Asian Control Conference

WoS Q Değeri

Scopus Q Değeri

N/A

Cilt

3

Sayı

Künye