Nonsmooth Optimization Control Based on a Sandwich Model with Hysteresis for Piezo–Positioning Systems

Autor: Yang Sen, Tan Yonghong, Dong Ruili, Tan Qingyuan
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: International Journal of Applied Mathematics and Computer Science, Vol 33, Iss 3, Pp 449-461 (2023)
Druh dokumentu: article
ISSN: 2083-8492
DOI: 10.34768/amcs-2023-0033
Popis: 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.
Databáze: Directory of Open Access Journals