Feedback controller stabilizing vibrations of a flexible cable related to an overhead crane.

Elharfi, Abdelhadi

Displaying similar documents to “Feedback controller stabilizing vibrations of a flexible cable related to an overhead crane.”

Output stabilization for infinite-dimensional bilinear systems

El Zerrik, Mohamed Ouzahra (2005)

International Journal of Applied Mathematics and Computer Science

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The purpose of this paper is to extend results on regional internal stabilization for infinite bilinear systems to the case where the subregion of interest is a part of the boundary of the system evolution domain. Then we characterize either stabilizing control on a boundary part, or the one minimizing a given cost of performance. The obtained results are illustrated with numerical examples.

Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity.

Chentouf, Boumediène (2004)

Journal of Applied Mathematics

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Well-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domain

Hans Zwart, Yann Le Gorrec, Bernhard Maschke, Javier Villegas (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We study a class of hyperbolic partial differential equations on a one dimensional spatial domain with control and observation at the boundary. Using the idea of feedback we show these systems are well-posed in the sense of Weiss and Salamon if and only if the state operator generates a -semigroup. Furthermore, we show that the corresponding transfer function is regular, , has a limit for going to infinity.

Lyapunov-based PD linear control of the oscillatory behavior of a nonlinear mechanical system: the inverted physical pendulum with moving mass case.

Aguilar-Ibáñez, Carlos Fernando, Gutiérrez-Frías, Oscar Octavio, Martínez-García, Juan Carlos, Garrido-Moctezuma, Rubén, Gómez-González, Bernardo (2010)

Mathematical Problems in Engineering

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On the circle criterion for boundary control systems in factor form : Lyapunov stability and Lur’e equations

Piotr Grabowski, Frank M. Callier (2006)

ESAIM: Control, Optimisation and Calculus of Variations

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A Lur’e feedback control system consisting of a linear, infinite-dimensional system of boundary control in factor form and a nonlinear static sector type controller is considered. A criterion of absolute strong asymptotic stability of the null equilibrium is obtained using a quadratic form Lyapunov functional. The construction of such a functional is reduced to solving a Lur’e system of equations. A sufficient strict circle criterion of solvability of the latter is found, which is based...