Euler-Bernoulli Beam with Boundary Control: Stability and FEM
نویسندگان
چکیده
منابع مشابه
Fractional Integrodiierential Boundary Control of the Euler-bernoulli Beam
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. Diiusive real-izations of them are introduced and used for the construction of an original and eecient boundary dynamic feedback control.
متن کاملStability Analysis for an Euler-Bernoulli Beam under Local Internal Control and Boundary Observation
In this paper, an Euler-Bernoulli beam system under the local internal distributed control and a boundary point observation is studied. We design an infinite-dimensional observer for the open-loop system. The closed loop-system that is non-dissipative is obtained by estimated state feedback. By a detailed spectral analysis, it is shown that there is a set of generalized eigenfunctions, which fo...
متن کاملStability of an Interconnected System of Euler−bernoulli Beam and Heat Equation with Boundary Coupling
We study the stability of an interconnected system of Euler−Bernoulli beam and heat equation with boundary coupling, where the boundary temperature of the heat equation is fed as the boundary moment of the Euler−Bernoulli beam and, in turn, the boundary angular velocity of the Euler−Bernoulli beam is fed into the boundary heat flux of the heat equation. We show that the spectrum of the closed-l...
متن کاملTwo Approaches to Stabilization for Euler-Bernoulli Beam Equation with Boundary Moment Control and Disturbance
In this paper, we consider boundary stabilization for a one-dimensional Euler-Bernoulli equation with boundary moment control and disturbance. The active disturbance rejection control (ADRC) and sliding mode control (SMC) approaches are adopted in investigation. By the ADRC approach, an extended state observer with time varying gain is designed to estimate the disturbance. It is shown that the ...
متن کاملDynamic stabilization of an Euler-Bernoulli beam under boundary control and non-collocated observation
We study the dynamic stabilization of an Euler–Bernoulli beam system using boundary force control at the free end and bending strain observation at the clamped end. We construct an infinite-dimensional observer to track the state exponentially. A proportional output feedback control based on the estimated state is designed. The closed-loop system is shown to be non-dissipative but admits a set ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: PAMM
سال: 2011
ISSN: 1617-7061
DOI: 10.1002/pamm.201110330