Ping Liu, Zhen-Yan Wang, Zhen Zhang, Jian-Qin Mao and Ke-Min Zhou. Modeling and H∞ Robust Control of a Smart Structure with Rate-dependent Hysteresis Nonlinearity. International Journal of Automation and Computing, vol. 11, no. 1, pp. 51-58, 2014. DOI: 10.1007/s11633-014-0765-x
Citation: Ping Liu, Zhen-Yan Wang, Zhen Zhang, Jian-Qin Mao and Ke-Min Zhou. Modeling and H∞ Robust Control of a Smart Structure with Rate-dependent Hysteresis Nonlinearity. International Journal of Automation and Computing, vol. 11, no. 1, pp. 51-58, 2014. DOI: 10.1007/s11633-014-0765-x

Modeling and H Robust Control of a Smart Structure with Rate-dependent Hysteresis Nonlinearity

  • 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 robust control scheme for the rate-dependent 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.
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