NDLI: Bifurcation control of a certain hysteretic nonlinear system by using state-feedback method

Content Provider	IEEE Xplore Digital Library
Author	Guosheng Gao Shaopu Yang Jingbo Guo
Copyright Year	2004
Description	Author affiliation: Dept. of Mech. Eng., Shijiazhuang Railway Inst., China (Guosheng Gao; Shaopu Yang; Jingbo Guo)
Abstract	For a parametrically excited hysteretic nonlinear system we propose a bifurcation control method in order to stabilize the trivial steady state in the frequency response and in order to eliminate jump in the force response, by using state-feedback control. Since the bifurcation of the system is characterized by its modulation equations, we first determine the order of the feedback gain so that the feedback modifies the modulation equations. By theoretically analyzing the modified modulation equations, we show that the unstable region of the trivial steady state can be shifted and the nonlinear character can be changed, by means of the bifurcation control with above feedback. The shift of the unstable region permits the stabilization of the trivial steady state in the frequency response, and due to the change of the nonlinear character allows the elimination of the jump in the force response. Furthermore, by performing numerical simulations, and by comparing the responses of the uncontrolled system and the controlled one, we clarify that the proposed bifurcation control is available for the stabilization of the trivial steady state in the frequency response and for the reduction of the jump in the nonstationary force response.
Sponsorship	Zhejian Univ. Nat. Lab. of Ind. Control Technol. IEEE Robotics and Automation Soc. Nat. Natural Sci. Found. of China Chinese Assoc. of Automation
Starting Page	828
Ending Page	832
File Size	374991
Page Count	5
File Format	PDF
ISBN	0780382730
DOI	10.1109/WCICA.2004.1340703
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-06-15
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Bifurcation Nonlinear control systems Control systems Hysteresis Nonlinear systems Force control Steady-state Frequency response Nonlinear equations Feedback
Content Type	Text
Resource Type	Article

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