Modeling and H∞ robust control of a smart structure with rate-dependent hysteresis nonlinearity

Authors:
Ping Liu;Zhen-Yan Wang;Zhen Zhang;Jian-Qin Mao;Ke-Min Zhou
Affiliations:
School of Automation Science and Electrical Engineering, Beijing University of Aeronautics & Astronautics, Beijing, China 100191;School of Automation Science and Electrical Engineering, Beijing University of Aeronautics & Astronautics, Beijing, China 100191;School of Automation Science and Electrical Engineering, Beijing University of Aeronautics & Astronautics, Beijing, China 100191;School of Automation Science and Electrical Engineering, Beijing University of Aeronautics & Astronautics, Beijing, China 100191;School of Electrical Engineering, Southwest Jiaotong University, Chengdu, Sichuan, China 610031 and School of Electrical Engineering and Computer Science, Louisiana State University, Baton Rouge, ...
Venue:
International Journal of Automation and Computing
Year:
2014

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Abstract

The performance of smart structures in trajectory tracking under sub-micron level is hindered by the rate-dependent hysteresis nonlinearity. In this paper, a Hammerstein-like model based on the support vector machines (SVM) is proposed to capture the rate-dependent hysteresis nonlinearity. We show that it is possible to construct a unique dynamic model in a given frequency range for a rate-dependent hysteresis system using the sinusoidal scanning signals as the training set of signals for the linear dynamic subsystem of the Hammerstein-like model. Subsequently, a two-degree-of-freedom (2DOF) H 驴 robust control scheme for the ratedependent hysteresis nonlinearity is implemented on a smart structure with a piezoelectric actuator (PEA) for real-time precision trajectory tracking. Simulations and experiments on the structure verify both the effectiveness and the practicality of the proposed modeling and control methods.