Frequency response analysis for closed-loop systems with hysteresis   using incremental harmonic balance

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	Frequency response analysis for closed-loop systems with hysteresis using incremental harmonic balance
	Fang, Lei ; Wang, Jiandong ; Tan, Xiaobo
	2016
关键词	IDENTIFICATION COMPENSATION ACTUATORS BACKLASH
英文摘要	The memory effect of hysteresis seriously hinders the development of effective analysis tools for systems with hysteresis. In this paper a novel incremental harmonic balance method (IHBM) is proposed to compute the steady-state response of a closed-loop system with hysteresis under a sinusoidal excitation, where the play operator is adopted as the hysteresis model. The IHBM method is an iterative algorithm, which assumes that the hysteresis input consists of a series of harmonics, and the small increment in the input harmonics is computed by expanding the hysteresis output as a first-order Taylor approximation and balancing the updated input harmonics to an arbitrary order. One numerical example is provided to demonstrate the advantage of the IHBM over the conventional describing function method in the frequency response analysis of hysteretic systems.; National Natural Science Foundation of China [61061130559, 61174108]; China Scholarship Council [201406010203]; US National Science Foundation [CMMI 1301243]; CPCI-S(ISTP); fanglei@pku.edu.cn; jiandong@pku.edu.cn; xbtan@egr.msu.edu; 1305-1310
会议录	American Control Conference (ACC)
语种	英语
内容类型	会议论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/459618]
专题	工学院
推荐引用方式 GB/T 7714	Fang, Lei,Wang, Jiandong,Tan, Xiaobo. Frequency response analysis for closed-loop systems with hysteresis using incremental harmonic balance[C]. 见:.