BazTech - Yadda

1

Nonsmooth optimization control based on a sandwich model with hysteresis for piezo-positioning systems

Yang Sen, Tan Yonghong, Dong Ruili, Tan Qingyuan

International Journal of Applied Mathematics and Computer Science

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2023

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Vol. 33, no. 3

449--461

EN

A nonsmooth optimization control (NOC) based on a sandwich model with hysteresis is proposed to control a micropositioning system (MPS) with a piezoelectric actuator (PEA). In this control scheme, the hysteresis phenomenon inherent in the PEA is described by a Duhem submodel embedded between two linear dynamic submodels that describe the behavior of the drive amplifier and the flexible hinge with load, respectively, thus constituting a sandwich model with hysteresis. Based on this model, a nonsmooth predictor for sandwich systems with hysteresis is constructed. To avoid the complicated online search for the optimal value of the generalized gradient at a nonsmooth point, the method of the so-called weighted estimation of generalized gradient is proposed. In order to compensate for the model error caused by model uncertainty, a model error compensator (MEC) is integrated into the online optimization control strategy. Afterwards, the stability of the control system is analyzed based on Lyapunov’s theory. Finally, the proposed NOC-MEC method is verified on an MPS with a PEA, and the corresponding experimental results are presented.

2

Performance evaluation modeling a Microelectromechanical system based Finite Element piezoelectric Shear Actuated Beam

Sarker M. R., Mohamed A., Mohamed R.

Przegląd Elektrotechniczny

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2015

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R. 91, nr 3

5-8

EN

This paper presents the modeling a Microelectromechanical systems (MEMS) based Piezoelectric shear actuated beam by using COMSOL Multiphysics software of version 4.3a. The overall dimensions model of the beam is of 0.1-m long, 0.03-m width and 0.018-m thickness. For this model the structural mechanics boundary conditions are of the cantilever beam is fixed at its surfaces at x = 0 and that all other surfaces are free. In this model applied, the different materials (i.e., Silicon, Titanium, Barium titanate, Lead zirconate titanate, Material) with voltages between the top and bottom surfaces of the piezoceramic domain (i.e., 15V, 35V) have been analyzed. Firstly, select the Structural Mechanics of the Piezoelectric Devices and analyzed changing the selecting physics. Secondly, defining the Geometry on deflection of sandwiched beam is setting the boundary condition and analyzed changing of the beam. Thirdly, the beam is composed of a 0.001-m thick flexible foam core sandwiched by two 0.002-m thick silicon and titanium layers. In the Fourth step, bend of beam is analyzed by changing both materials of sandwiched beam and mashing of the defection beam is display by changing both thickness and electric potential. Finally, the results of analysis allowed to conclude us to design a piezoelectric shear actuated beam with different ranges and resolutions, under the condition of changing both thickness and material of electrodes gives the optimum deflection of 0.0308-um and 0.0815-um under 15V input voltage with different materials.

PL

W artykule zaprezentowano metodę projektowania układów typu MEMS na przykładzie piezoelektrycznego siłownika. Dla siłownika zaproponowano model numeryczny oraz warunki brzegowe. Przedstawiono obliczenia dla różnych materiałów i różnych konstrukcji.

3

Modelowanie charakterystyki pracy siłownika piezoelektrycznego zastosowanego do konstrukcji eliminatora drgań

Pajor M., Parus A., Hoffmann M.

Modelowanie Inżynierskie

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2009

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T. 6, nr 37

225-232

PL

Materiały piezoelektryczne mają szerokie zastosowanie w wielu dziedzinach nauki i techniki. Wykorzystywane są m.in. jako odbiorniki dźwięku, mikrofony, transformatory, serwomechanizmy i aktuatory. W artykule zaprezentowano metody modelowania charakterystyki pracy siłownika piezoelektrycznego. W pracy takiego aktuatora występuje zjawisko histerezy. Przedstawiono trzy modele teoretyczne opisujące zjawiska histerezy. Zaproponowano adaptację modelu siły tarcia (model Dahla) do odwzorowania histerezy. Przedstawiono ideę budowy modelu opracowaną przez Preisacha i jej rozszerzenie dla przypadku siłownika piezoelektrycznego. Jako trzeci model zaproponowano funkcję wielomianową opisującą histerezę. Prezentowane modele zostały poddane identyfikacji na podstawie badań doświadczalnych.

EN

Piezoelectric materials have a wide use in many fields of sciences and techniques. They are used as sound receivers, microphones, transformers, serwomachins and actuators. This article presents methods of modelling of piezoelectric actuator characteristics. Piezoelectric elements exhibit hysteresis behavior. Three models describing phenomenon of hysteresis are introduced. To describe the hysteresis a friction model (Dahl model) was used. The model worked out by Preisach is also introduced as well as its application for modelling the piezo actuator. Third model is a polynomial function which is used to describe the hysteresis. Models were identified on the basis of experimental data.