INCREAMENTAL HARMONIC BALANCE METHOD FOR RESPONSE COMPUTATION OF A CLASS OF SECOND-ORDER HYSTERETIC NONLINEAR CONTROL SYSTEM UNDER SINUSOIDAL EXCITATION

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Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (13) : 99-105.

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INCREAMENTAL HARMONIC BALANCE METHOD FOR RESPONSE COMPUTATION OF A CLASS OF SECOND-ORDER HYSTERETIC NONLINEAR CONTROL SYSTEM UNDER SINUSOIDAL EXCITATION

Xiong Rui Liu Xiangdong Geng Jie Lu Guohui

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Abstract

Aiming at a class of hysteretic nonlinear control system，which hysteresis characteristics and linear characteristics can be separated，a model based on Backlash neutral network is adopted to approximate the hysteresis characteristics of the system. After the dynamic model is established，an incremental harmonic balance(IHB) method is used to determine the response of the forced vibration of this hysteretic control system with the P controller. The Floquet theory is applied to determining the stability of the periodic solution. The approach is examined by Runge-Kutta numerical integration. The effect of the parameter k of the controller to the system performance is studied.

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hysteresis / nonlinear control system / Backlash neutral network model / IHB / Floquet theory

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Xiong Rui Liu Xiangdong Geng Jie Lu Guohui. INCREAMENTAL HARMONIC BALANCE METHOD FOR RESPONSE COMPUTATION OF A CLASS OF SECOND-ORDER HYSTERETIC NONLINEAR CONTROL SYSTEM UNDER SINUSOIDAL EXCITATION [J]. Journal of Vibration and Shock, 2013, 32(13): 99-105