Evolutionary algorithm based feedforward control for contouring of a biaxial piezo-actuated stage

Lin, Chih-Jer; Chen, Shuyin

doi:10.1016/j.mechatronics.2009.04.007

Cited by 41 publications

(10 citation statements)

References 13 publications

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“…In particular, the entire dynamics model of the piezoelectrically driven system with Bouc-Wen type of hysteresis can be established as follows [11,12]:…”

Section: Hysteresis Modeling With the Bouc-wen Modelmentioning

confidence: 99%

“…In order to compensate for the hysteresis effect, the hysteresis behavior is usually modeled by Preisach model [3,6], Prandtl-Ishlinskii model [7], Bouc-Wen model [11,12], Maxwell-based model [8], Dahl model [18], polynomial model [9], etc. Then, an inverse hysteresis model is constructed and utilized as a feedforward controller to cancel the hysteresis effect.…”

Section: Introductionmentioning

confidence: 99%

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Feedforward Control Based on Inverse Hysteresis Models

Tan

2015

Advances in Industrial Control

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This chapter presents the rate-dependent hysteresis compensation of a piezoelectric nanopositioning stage using the feedforward control based on an inverse hysteresis model. Three different controllers are realized and compared, which employ Bouc-Wen model, modified Prandtl-Ishlinskii (MPI) model, and least squares support vector machines (LSSVM)-based intelligent model, respectively. Experimental studies demonstrate the superiority of LSSVM model in hysteresis modeling and compensation tasks. IntroductionIn order to compensate for the hysteresis effect, the hysteresis behavior is usually modeled by Preisach model [3,6], Prandtl-Ishlinskii model [7], Bouc-Wen model [11,12], Maxwell-based model [8], Dahl model [18], polynomial model [9], etc. Then, an inverse hysteresis model is constructed and utilized as a feedforward controller to cancel the hysteresis effect. However, the hysteresis effect is dependent not only on the amplitude but also on the frequency of input signals. It is very difficult to capture the complicated rate-dependent hysteretic behavior precisely. In addition, majority of the existing models employ a large number of parameters to describe the rate-dependent hysteresis [1,21], which may block their applications in high-speed real-time control as an adverse effect.Recently, it has been shown that ANN provides an efficient way to model the nonlinear hysteresis [5,20]. Nevertheless, there is no universal method to determine an optimal ANN structure in terms of the number of hidden layers and number of neurons in each layer. Moreover, ANN exhibits the problems of overfitting and sinking into local optima, which are their major drawbacks in practical implementation. Alternatively, SVM gives a promising way to estimate nonlinear system models accurately. Based on the statistical learning theory and structural risk minimization principle, the SVM approach is capable of modeling nonlinear systems by trans-

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“…In particular, the entire dynamics model of the piezoelectrically driven system with Bouc-Wen type of hysteresis can be established as follows [11,12]:…”

Section: Hysteresis Modeling With the Bouc-wen Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Feedforward Control Based on Inverse Hysteresis Models

Tan

2015

Advances in Industrial Control

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show abstract

“…To estimate the hysteresis exactly, they used the evolutionary algorithms to identify the optimal parameters of the Bouc-Wen model for the hysteresis of PA and proposed the real-time architecture. [45] However, the XY stage consists of two positioning stages (PM) and they are isolated in different planes. For the positioning XY stage used in [45,46], the advantage is that no cross-coupling effects appear between the X-and Y-stages because the two PAs are located in the different PMs.…”

Section: System Description and Modelingmentioning

confidence: 99%

“…Jang et al [44] discussed a piezoelectric actuator-driven system with asymmetric hysteresis and established a feed-forward controller based on the proposed asymmetric hysteresis model. Lin et al [45] used evolutionary algorithms to optimize parameters of the Bouc-Wen model of PEA hysteresis and proposed the real-time architecture. In Ref.…”

Section: Introductionmentioning

confidence: 99%