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

• Autorzy: Yang Sen , Tan Yonghong , Dong Ruili , Tan Qingyuan

Identyfikatory

DOI

10.34768/amcs-2023-0033

• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

optimization control; hysteresis; piezoelectric actuator; sandwich system

PL

histereza; siłownik piezoelektryczny; układ warstwowy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2023
• Tom: Vol. 33, no. 3
• Strony: 449--461
• Opis fizyczny: Bibliogr. 24 poz., rys., wykr.

Twórcy

autor

Yang Sen

• College of Mathematics and Physics, Shanghai Normal University, 100 Guilin Rd., Shanghai 200234, China

autor

Tan Yonghong

• College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, 100 Guilin Rd., Shanghai 200234, China

autor

Dong Ruili

• College of Information Science and Technology, Donghua University, 2999 North-Renmin Rd., Shanghai 201620, China

autor

Tan Qingyuan

• R&D Center (PERDC), Ford Powertrain Engineering, 1 Quality Way, Windsor, ON, N9A 6X3, Canada

Bibliografia

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