Chattering Characteristic Analyzing for Second-order Sliding-mode Control with Adjustable Parameters Based on the Generalized DF Approach

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Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (15) : 102-107.

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Chattering Characteristic Analyzing for Second-order Sliding-mode Control with Adjustable Parameters Based on the Generalized DF Approach

SHEN Yu1, QIU Yuan-ying2

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Abstract

For estimate and adjusting the chattering characteristic of a second-order sliding-mode control (2-SMC) with adjustable parameters, a generalized describing function (DF) approach is proposed on the basis of the classical DF approach. By means of calculating the frequency-independent fundamental component of the 2-SMC, the relationship between the rotation angle of negative reciprocal function curves and the control parameters is investigated. And then, a generalized DF approach is considered to estimate the chattering characteristic and deduce the chattering stability condition of the system with complicated nonlinear. Finally, the frequency-dependent fundamental component is analyzed by means of the generalized DF approach, and the method for estimate the states variable chattering characteristic is given. The simulation examples show that the chattering characteristic as estimated by classical and generalized DF approach are found to be in good agreement with the actual ones, and have high angular frequency estimation precision. These results show the correctness and applicability of the proposed methods.

Key words

Second-order sliding-mode control / Chattering characteristic / Generalized describing function / Frequency-dependent fundamental component

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SHEN Yu;QIU Yuan-ying. Chattering Characteristic Analyzing for Second-order Sliding-mode Control with Adjustable Parameters Based on the Generalized DF Approach[J]. Journal of Vibration and Shock, 2014, 33(15): 102-107