Title
Modeling and H ∞ Robust Control of a Smart Structure with Rate-dependent Hysteresis Nonlinearity
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 ∞ 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.
Year
DOI
Venue
2014
10.1007/s11633-014-0765-x
International Journal of Automation and Computing
Keywords
DocType
Volume
Rate-dependent hysteresis, Hammerstein-like model, support vector machines (SVM), H∞ robust control, piezoelectric actuator
Journal
11
Issue
ISSN
Citations 
1
1751-8520
0
PageRank 
References 
Authors
0.34
10
5
Name
Order
Citations
PageRank
Ping Liu111.04
Zhenyan Wang222.50
zhen zhang300.34
Jianqin Mao4306.89
Kemin Zhou537259.31