Dynamics of Quasi Linear Systems with Multi-time-delayed Feedback Control and Wide-band Random Excitation

Author

Li, Xueping ; Zhu, Weiqiu

Author_Institution

Sch. of Civil Eng. & Transp., South China Univ. of Technol., Guangzhou, China

Volume

2

fYear

2009

fDate

14-16 Aug. 2009

Firstpage

547

Lastpage

552

Abstract

The stochastic response, stability and reliability of quasi-linear systems subject to multi-time-delayed feedback control and wide-band random excitation are studied by using the stochastic averaging method for quasi Hamiltonian systems. It is verified that the time delay affect the response, the asymptotic stability and the first-passage time greatly, but the deterioration can be almost eliminated if the delay time can be set correctly. All the results are confirmed by Monte Carlo simulation.

Keywords

Monte Carlo methods; delays; feedback; linear systems; random processes; stochastic processes; Monte Carlo simulation; asymptotic stability; multitime-delayed feedback control; quasiHamiltonian systems; quasilinear system dynamics; stochastic averaging method; stochastic response; wideband random excitation; Control systems; Delay effects; Equations; Feedback control; Force control; Force measurement; Linear systems; Stability; Stochastic systems; Wideband; multi-time-delayed; quasi-linear systems; reliability; stability; stochastic response;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on

Conference_Location

Tianjin

Print_ISBN

978-0-7695-3735-1

Type

conf

DOI

10.1109/FSKD.2009.350

Filename

5359510