A semi-active controller tuning and application to base seismically-isolated structures

Catalin-Stefan Teodorescu 1, * Sette Diop 2 Ioannis Politopoulos 1 Messaoud Benidir 3
* Corresponding author
1 EMSI - Laboratoire d'Etudes de Mécanique Sismique
DM2S - Département de Modélisation des Systèmes et Structures : DEN/DM2S/SEMT/EMSI
2 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
3 Division Signaux - L2S
L2S - Laboratoire des signaux et systèmes : 1289
Abstract : This paper proposes a modified version of Leitmann and co-authors' classical result on the stabilization of uncertain nonlinear systems. In particular, for usual models of structure dynamics in earthquake engineering it is shown that applying a specific control law drives the state variables into a ball around the origin (arbitrarily chosen) in finite time as long as the radius of the ball is not lower than a limiting value. In addition estimates of this limiting ball radius and the time limit for arbitrary ball radius are provided. The semi-active control thus provides the control designer with interesting design parameters. It is also an attempt to explicitly use pseudoacceleration floor response spectrum as a performance criterion. Though not limited to twodegree- of-freedom structures, this semi-active control is applied to these plant models for simplicity and illustrated through simulations.
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Catalin-Stefan Teodorescu, Sette Diop, Ioannis Politopoulos, Messaoud Benidir. A semi-active controller tuning and application to base seismically-isolated structures. 12th European Control Conference (ECC 2013), Jul 2013, Zurich, Switzerland. Paper 910. ⟨hal-00828883⟩

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