Title :
On stability of cutting processes in presence of random noises
Author :
Rodkina, A. ; Wiercigroch, M.
Author_Institution :
Dept. of Math./CScience, Univ. of the West Indies, Kinqston, Jamaica
fDate :
Aug. 31 1999-Sept. 3 1999
Abstract :
The dynamics of a nonlinear cutting process in the presence of random noise is defined and investigated. This approach is adequate for a wide range of models describing the orthogonal metal cutting processes as an oscillator where nonlinearity comes from the cutting force. The method of Lyapunov-Krasovskii functional was adopted to analyse the system. The conditions ensuring an asymptotic stability in the presence of random noises are established.
Keywords :
Lyapunov methods; asymptotic stability; control nonlinearities; cutting; nonlinear control systems; random noise; Lyapunov-Krasovskii functional; asymptotic stability; cutting force; cutting process stability; nonlinear cutting process dynamics; orthogonal metal cutting processes; oscillator; random noises; Discrete wavelet transforms; Force; Mathematical model; Metals; Noise; Stability analysis; Stochastic processes; cutting processes; stochastic differential equations;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5