Title :
Dynamical boundary control of elastic plates
Author :
Markus, Lawrence ; You, Yuncheng
Author_Institution :
Dept. of Math., Minnesota Univ., Minneapolis, MN, USA
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;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371506
