Beam equation with saturating piezoelectric controls - Archive ouverte HAL
Communication Dans Un Congrès Année : 2019

Beam equation with saturating piezoelectric controls

Résumé

This paper deals with a controlled beam equation for which the input is subject to magnitude saturation. A partial differential equation describes the dynamics of the deflection of the beam with respect to the rest position. The input is the voltage applied on an actuator located in a given interval of the space domain. Two kinds of control are considered: a static controller and a dynamical one. In both cases, the saturated control is indeed applied to the beam equation. By closing the loop with such a nonlinear control, it is thus obtained a nonlinear partial differential equation, which is the generalization of the classical beam equation. The well-posedness is proven by using nonlinear semigroups techniques. Considering a generalized sector condition to tackle the control nonlinearity, the semi-global asymptotic stabilization system is proven by Lyapunov-based arguments.
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Dates et versions

hal-02156546 , version 1 (14-06-2019)

Identifiants

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Christophe Prieur, Sophie Tarbouriech. Beam equation with saturating piezoelectric controls. MECHATRONICS 2019 - NOLCOS 2019 - 8th IFAC Symposium on Mechatronic Systems - 11th IFAC Symposium on Nonlinear Control Systems, Sep 2019, Vienne, Austria. ⟨10.1016/j.ifacol.2019.11.757⟩. ⟨hal-02156546⟩
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