MODELING, STABILIZATION AND CONTROL OF SERIALLY CONNECTED BEAMS Academic Article

abstract

• Many flexible structures consist of a large number of components coupled end to end in the form of a chain. In this paper, we consider the simplest type of such structures which is formed by N serially connected Euler-Bernoulli beams, with N actuators and sensors co-located at nodal points. When these N beams are strongly connected at all intermediate nodes and their material coefficients satisfy certain properties, uniform exponential stabilization can be achieved by stabilizing at one end point of the composite beam. We use finite elements to discretize the partial differential equation and compute the spectra of these boundary damped operators. Numerical results are also illustrated.

authors

• Chen, Goong

published proceedings

• SIAM JOURNAL ON CONTROL AND OPTIMIZATION

author list (cited authors)

• CHEN, G., DELFOUR, M. C., KRALL, A. M., & PAYRE, G.

citation count

• 337

complete list of authors

• CHEN, G||DELFOUR, MC||KRALL, AM||PAYRE, G

publication date

• May 1987

publisher

• Society for Industrial & Applied Mathematics (SIAM)  Publisher

published in

• SIAM Journal of Control and Optimization  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics

Digital Object Identifier (DOI)

• 10.1137/0325029

start page

• 526

end page

• 546

volume

• 25

issue

• 3

URL

• http://dx.doi.org/10.1137/0325029