Exponential decay rates for the solutions to plate equations with boundary dissipation in the moments

Author

Lasiecka, I.

Author_Institution

Dept. of Appl. Math., Virginia Univ., Charlottesville, VA, USA

fYear

1990

fDate

5-7 Dec 1990

Firstpage

2933

Abstract

The author presents several results related to feedback controllability and feedback stabilization for Euler-Bernoulli plates with boundary controls acting via moments (bendings, torques twists, etc.). This kind of problem has numerous applications in the area of robotics, large space structures, etc., where only moments are available to control action. It is assumed that only the moments are subject to control action. This fact leads to new PDE (partial differential equation) questions that must be answered. In addition a feedback solution to the null-controllability problem, which appears to be the first result of this type for infinite dimensional systems with unbounded controls, is provided

Keywords

controllability; distributed parameter systems; feedback; partial differential equations; stability; boundary controls; boundary dissipation; distributed parameter systems; exponential decay rates; feedback controllability; infinite dimensional systems; partial differential equation; stabilization; Adaptive control; Boundary conditions; Controllability; Displacement control; Equations; Feedback; Mathematical model; Mathematics; Open loop systems; Torque control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1990., Proceedings of the 29th IEEE Conference on

Conference_Location

Honolulu, HI

Type

conf

DOI

10.1109/CDC.1990.203321

Filename

203321