Title :
Uniform boundary stabilization of von Karman plates
Author :
Lagnese, John E.
Author_Institution :
Dept. of Math., Georgetown Univ., Washington, DC, USA
Abstract :
The author considers the determination of feedback controls which act along the edge of a thin plate and whose purpose is to stabilize the motion of the plate uniformly in situations where the deviation of the plate from equilibrium is not necessarily small, and therefore, is not adequately modeled by linear plate theory. The analysis deals mainly with the classical von Karman plate model. It is shown that the physical assumptions usually associated with the von Karman model lead to a coupled system of three nonlinear second-order partial differential equations for the three components of the displacement vector. The von Karman model is then obtained by imposing an additional hypothesis which does not seem to be altogether reasonable from a physical standpoint. The uniform asymptotic stability of the von Karman model is then studied
Keywords :
distributed parameter systems; feedback; nonlinear differential equations; partial differential equations; stability; asymptotic stability; displacement vector; feedback controls; nonlinear second-order partial differential equations; thin plate; uniform boundary stabilisation; von Karman plates; Asymptotic stability; Couplings; Deformable models; Differential equations; Feedback control; Force feedback; Kinetic energy; Mathematics; Partial differential equations; Stress;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194329