Title :
Exponential stability of some differential equations arising from control of flexible arms
Author :
Luo, Zheng-Hua ; Guo, Bao-Zhu
Author_Institution :
Dept. of Mech. Eng., Nagaoka Univ. of Technol., Niigata, Japan
Abstract :
This paper is concerned with stability analyses for some nonstandard second order partial differential equations arising from direct strain feedback control of flexible robot arms. Asymptotical and exponential stability issues are addressed for three types of differential equations, one of which is in general abstract evolution equation form and the other two are in partial differential equation form. The obtained results are of especially theoretical interest because they reveal the essence of direct strain feedback control and demonstrate its power in control of flexible arms
Keywords :
asymptotic stability; control system analysis; differential equations; flexible structures; manipulators; asymptotical stability; direct strain feedback control; exponential stability; flexible robot arm control; general abstract evolution equation; nonstandard second order partial differential equations; partial differential equation; stability analyses; Arm; Differential equations; Feedback control; Manipulators; Mechanical engineering; Partial differential equations; Servomotors; Stability; Strain control; Strain measurement;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.410860
