Title :
Fractional integro-differential boundary control of the Euler-Bernoulli beam
Author :
Montseny, G. ; Audounet, J. ; Matignon, D.
Author_Institution :
LAAS/CNRS, Toulouse, France
Abstract :
Absorbing boundary conditions are generally associated to long-range memory behaviors. In the case of the Euler-Bernoulli beam, they are naturally based on Abel-Volterra operators of order 1/2. Diffusive realizations of them are introduced and used for the construction of an original and efficient boundary dynamic feedback control
Keywords :
asymptotic stability; closed loop systems; diffusion; feedback; flexible structures; integro-differential equations; multidimensional systems; Abel-Volterra operators; Euler-Bernoulli beam; asymptotic stability; boundary control; boundary dynamic feedback; closed loop systems; diffusion; finite dimensional systems; fractional integro-differential equation; stabilization; Asymptotic stability; Boundary conditions; Convolution; Feedback control; Force control; Force feedback; Hilbert space; Integral equations; Scattering; Torque control;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.649837
