Stabilization of a Class of Linear Systems With Input Delay and the Zero Distribution of Their Characteristic Equations

This paper is concerned with stabilization of linear systems with arbitrarily large but bounded time-varying delay in the input. A pole assignment based low gain feedback design is adopted to solve the problem. Both delay-dependent and delay-independent results are presented and a series of sufficie...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. I, Regular papers Vol. 58; no. 2; pp. 388 - 401
Main Authors Zhou, Bin, Lin, Zongli, Duan, Guang-Ren
Format Journal Article
LanguageEnglish
Published IEEE 01.02.2011
Subjects
Actuator saturation
Asymptotic stability
Circuit stability
Delay
delayed feedback
Equations
Linear systems
necessary and sufficient condition
Stability criteria
time-varying delay
zero distribution
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Summary:This paper is concerned with stabilization of linear systems with arbitrarily large but bounded time-varying delay in the input. A pole assignment based low gain feedback design is adopted to solve the problem. Both delay-dependent and delay-independent results are presented and a series of sufficient conditions for guaranteeing the stability of the closed-loop system are established. By using properties of this class of low gain feedback laws and the properties of certain transcendental equations, distribution of the zeros of the closed-loop characteristic equation is described. As a result, a necessary and sufficient condition is identified that guarantees the stability of the closed-loop system. A numerical example is given to illustrate the effectiveness of the proposed approach.
ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2010.2071750