Proceedings of the 36th IEEE Conference on Decision and Control
DOI: 10.1109/cdc.1997.649837
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Fractional integro-differential boundary control of the Euler-Bernoulli beam

Abstract: Absorbing boundary conditions are generally associated to long-range memory behaviors. In the case o€ 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.

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Cited by 17 publications
(8 citation statements)
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“…(s) Mechanical wave approach: 73,74 In reference [73], a lumped-parameter mass-spring model is considered. A novel regulation approach based on wave propagation and absorbtion techniques is presented.…”
Section: Control Schemes Applied To the Flexible Links Robotsmentioning
confidence: 99%
“…(s) Mechanical wave approach: 73,74 In reference [73], a lumped-parameter mass-spring model is considered. A novel regulation approach based on wave propagation and absorbtion techniques is presented.…”
Section: Control Schemes Applied To the Flexible Links Robotsmentioning
confidence: 99%
“…W e refer to 23,22] and references therein. Once again, functional spaces must be speci ed for these in nite-dimensional dynamical systems to make sense in particular, a classical V H V 0 framework is needed.…”
Section: Stability Of Generalized Fractional Differential Systems 153mentioning
confidence: 99%
“…In this latter case, the passivity of the diffusive realization of the feedback has been admitted and the stability analysis could be carried out, at least formally, only when the cross-coupling terms in the feedback were neglected (Montseny et al, 1997). In the present paper we show that these cross-coupling terms are important and that their impact on the passivity of the diffusive realization cannot be neglected.…”
Section: Introductionmentioning
confidence: 77%
“…Once again nothing can be said on the sign of dEt dt . It is important to notice that all the analysis that has been provided by using the diffusive representation of the boundary feedback, in (Montseny et al, 1997) for example, has been done considering the non-diagonal terms both equal to zero. In this latter case the port-Hamiltonian formulation can be simplified, and the new R term is such that:…”
Section: A Port-hamiltonian Formulationmentioning
confidence: 99%
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