Effects of speed feedback fractional order PID control on vibration characteristics of gear system

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (23) : 175-181.

HOU Jingyu1, YANG Shaopu2, LI Qiang1, LIU Yongqiang2, 3

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Abstract

A fractional-order proportion-integration-differentiation (PID) controller is introduced for controlling the vibration produced when the gear is in operation, and the dynamic model of gear transmission system with fractional-order PID controller based on velocity feedback is modeled. The fifth-order approximation solution of the system by using the incremental harmonic balance method (IHBM) is obtained, and it is verified by power series expansion method. The effect of the coefficient and order of each link of fractional-order PID controller with velocity feedback on the vibration characteristics of gear system is analyzed in detail by using the amplitude-frequency response curve. Finally, the response of the system with fractional-order PID controller is compared with that of integer-order PID controller and without PID controller, and the robustness of fractional-order PID controller for mesh stiffness coefficient and excitation amplitude is discussed.

Key words

gear / fractional-order PID controller / incremental harmonic balance method / velocity feedback / backlash

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HOU Jingyu1, YANG Shaopu2, LI Qiang1, LIU Yongqiang2, 3. Effects of speed feedback fractional order PID control on vibration characteristics of gear system[J]. Journal of Vibration and Shock, 2021, 40(23): 175-181

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