Title :
Control of cutting system with Markovian jump parameters
Author :
Yifan, Dong ; Yu, Kang ; Hongsheng, Xi
Author_Institution :
Dept. of Autom., China Univ. of Sci. & Technol., Hefei
Abstract :
This paper is concerned with exponential stability of a class of single-tool cutting systems, which is described as a Markovian jump system with state time-varying delays. A sufficient condition for the exponential stability in mean-square is proposed based on the Lyapunov functional method. We also obtain the influence of delay parameters on exponential decreasing rate of the states. A numerical example is provided to demonstrate the effectiveness of the proposed approach.
Keywords :
Lyapunov methods; Markov processes; asymptotic stability; cutting; cutting tools; delays; least squares approximations; time-varying systems; Lyapunov functional method; Markovian jump parameter; exponential stability; mean-square method; single-tool cutting system; state time-varying delay; Automation; Control systems; Delay systems; Stability analysis; Sufficient conditions; Time varying systems; Virtual colonoscopy; Exponential stable in mean-square; Jump systems; Single-tool cutting systems; Time-varying delay;
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
DOI :
10.1109/CHICC.2008.4605877
