Dynamical boundary control of elastic plates

Author

Markus, Lawrence ; You, Yuncheng

Author_Institution

Dept. of Math., Minnesota Univ., Minneapolis, MN, USA

fYear

1992

fDate

1992

Firstpage

1295

Abstract

The control of transverse vibrations of elastic plates of general shape by feedback boundary control is formulated as an abstract evolution equation. Because the control acts locally on the boundary, which possesses a flanged rim with inertial properties of mass and bending moment, the analysis concerns dynamical controllability and stabilizability of a hybrid system. By the approach of energy decay inequalities, and Hormander´s global uniqueness theorem, it is shown that the system is strongly stabilizable by a locally supported damping feedback of boundary velocity and boundary angular velocity, and hence the system is approximately controllable

Keywords

controllability; feedback; stability; vibration control; Hormander´s global uniqueness theorem; abstract evolution equation; bending moment; boundary angular velocity; boundary velocity; dynamical controllability; elastic plates; energy decay inequalities; feedback boundary control; flanged rim; inertial properties; locally supported damping feedback; transverse vibrations; Angular velocity; Control system analysis; Control systems; Controllability; Damping; Equations; Feedback; Shape control; Vibration control; Weight control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1992., Proceedings of the 31st IEEE Conference on

Conference_Location

Tucson, AZ

Print_ISBN

0-7803-0872-7

Type

conf

DOI

10.1109/CDC.1992.371506

Filename

371506