Stability Analysis of a Type of Nonlinear Time-Delay Control Systems

Author

Li, Zhong-yan ; Guo, Shu-li

Author_Institution

Dept. of Math. & Phys., North China Electr. Power Univ., Beijing

fYear

2006

fDate

13-16 Aug. 2006

Firstpage

978

Lastpage

982

Abstract

The time delay of Lurie nonlinear systems, in which the origin of the nonlinear systems is the absolute stability, is estimated by using a Liapunov-Razumikhn function. Two sufficient conditions are obtained about absolutely stable criteria of nonlinear systems. A numerical example illustrates the effectiveness of the presented algorithm. We find that the key problem is how to choose tau. The value of tau depends on the set D that relates to Liapunov matrix Q. So the optimization (Q_best,tau_max) is our objective. By using computer aided tools and Liapunov matrix equations, we can obtain the optimization tau

Keywords

delay systems; matrix algebra; nonlinear control systems; optimisation; time-varying systems; Liapunov matrix equation; Liapunov-Razumikhn function; Lurie nonlinear system; computer aided tool; nonlinear time-delay control system; optimization; stability analysis; Automatic control; Bismuth; Control systems; Cybernetics; Delay effects; Machine learning; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Power system transients; Stability analysis; Sufficient conditions; Transient analysis; Bounded time-delay; Feedback input; Liapunov functional; Nonlinear system; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2006 International Conference on

Conference_Location

Dalian, China

Print_ISBN

1-4244-0061-9

Type

conf

DOI

10.1109/ICMLC.2006.258527

Filename

4028205