Title :
On the finite time stability for stochastic distributed parameter systems with free boundary-application to the micro-tunneling machine
Author :
Aihara, ShinIchi ; Kabeuchi, Teruo
Author_Institution :
Suwa Coll., Sci. Univ. of Tokyo, Japan
Abstract :
We consider a finite-time stochastic stability for distributed parameter systems with free boundary condition. This mathematical model is deduced from the analysis of the tracking error of the installed pipe from the designed path in the micro-tunneling machine. After showing that the proposed mathematical system has a solution in some function spaces, we study the finite-time stability problem. The buckling phenomena of the installed pipe is simulated related to the derived sufficient conditions for the finite-time stability
Keywords :
distributed parameter systems; excavators; stability; stochastic systems; tracking; buckling phenomena; finite-time stochastic stability; free boundary; micro-tunneling machine; stochastic distributed parameter systems; tracking error; Boundary conditions; Distributed parameter systems; Drilling; Educational institutions; Equations; Lifting equipment; Magnetic heads; Stability; Stochastic systems; Tunneling;
Conference_Titel :
Robot and Human Interactive Communication, 2000. RO-MAN 2000. Proceedings. 9th IEEE International Workshop on
Conference_Location :
Osaka
Print_ISBN :
0-7803-6273-X
DOI :
10.1109/ROMAN.2000.892485
