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

Volume

1

fYear

1994

Firstpage

757

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/CDC.1994.410860

Filename

410860