A Study of Fuzzy Hysteresis Modeling and Control of a Shape Memory Wire Actuator

This paper describes the development of fuzzy systems for modeling the hysteresis behavior of shape memory alloy (SMA) actuators. Due to their simplicity and ease of actuation, SMA actuators are very attractive for applications such as miniature robots for micro manufacturing. However, SMAs have not been widely used for motion control applications due to their nonlinear behavior and control difficulties. One approach to design a position controller for SMA systems is to employ an inverse-model of the system in the control loop to compensate the hysteresis properties of the material. Fuzzy systems, due to their nonlinear learning and adaptation abilities, are good candidates for obtaining inverse-models. In this paper two fuzzy modeling approaches are employed and compared to develop a model for a SMA wire actuator. A set of experiments are conducted to generate the training data. The test stand includes a Nickel-Titanium (TiNi) SMA wire, a position sensor, a bias spring and a current amplifier. By comparing the performance of the two employed fuzzy modeling techniques, it is revealed that the approach based on fuzzy Gustafson-Kessel (GK) clustering shows a better performance in the modeling of the hysteresis in the SMA wire. Thus, GK clustering algorithm is employed to develop the inverse-model for the SMA. The reported results demonstrate the ability of the employed fuzzy algorithm for modeling the hysteresis in the system, and the merits of the introduced inverse-model in the control of the position of the SMA.

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Fuzzy modeling and control of a class of non‐differentiable multi‐input multi‐output nonlinear systems

Asian Journal of Control ◽

10.1002/asjc.2530 ◽

2021 ◽

Author(s):

Kazem Zare ◽

Mokhtar Shasadeghi ◽

Afshin Izadian ◽

Taher Niknam ◽

Mohammad Hassan Asemani

Keyword(s):

Nonlinear Systems ◽

Fuzzy Modeling ◽

Modeling And Control ◽

And Control

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Compensation of the Nonlinear Effect on Anelectro Hydrostatic Cylinder Driver for the Transit and Rotating Motion Using Bilinear System

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.875-877.2097 ◽

2014 ◽

Vol 875-877 ◽

pp. 2097-2106

Author(s):

Rai Wung Park

Keyword(s):

High Performance ◽

Nonlinear Behavior ◽

Bilinear System ◽

Mathematic Model ◽

Modeling And Control ◽

Extended Application ◽

Physical Information ◽

Complete Form ◽

And Control ◽

Operating Points

The transit motion and the rotating motion have highly different effects in a technical systems and have almost nonlinear system behaviors. For the descriptions of their dynamical causes and effects on system, the physical information, which is concerned as a nonlinear mathematic model, has been used. But the corresponding equations are generally not easy to solve in complete form or their solutions are so complicated to see through the coherence. A common way to settle such a problem is to linearize system exactly in a state space or on a operating points with Taylor's series approximately. An advanced method to an approximation is a bilinear system that offers global separations principle. In this paper, an extended application of this theory is given in a modeling and control on the electro hydrostatic cylinder driver with both the transit and rotating motions for the keel system that mostly have not only advantage of high performance, small volume of building and weight but also high nonlinear behavior.

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Nonlinear Modeling and Control of Hysteresis in Active Material Systems

Volume 7B: 17th Biennial Conference on Mechanical Vibration and Noise ◽

10.1115/detc99/vib-8064 ◽

1999 ◽

Author(s):

Glenn V. Webb ◽

Dimitris C. Lagoudas ◽

Andrew J. Kurdila

Keyword(s):

Shape Memory ◽

Nonlinear Modeling ◽

Active Material ◽

Electrorheological Fluids ◽

Adaptive Model ◽

Structural System ◽

Modeling And Control ◽

Significant Challenge ◽

Hysteresis Nonlinearity ◽

And Control

Abstract Active material actuators present a significant challenge to researchers interested in applying them to aerospace structures. Materials such as shape memory alloys, piezo-ceramcs and electrorheological fluids exhibit hysteresis to varying degrees. Not only do they exhibit hysteresis, but in some cases the hysteresis is non-stationary. We present a methodology that allows for design of controllers for the structural system from linear system theory. This is accomplished by compensating, or linearizing, the hysteresis nonlinearity using an adaptive model of hysteresis. Experimental results for adaptive control of shape memory alloy actuators with non-stationary hysteresis are provided.

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