Chaos control for nonlinear system of a gear pair with backlash using the constrained feedback method

Wentao Gu; Sanmin Wang; Jiadong Xu

doi:10.1117/12.717999

30 October 2006 Chaos control for nonlinear system of a gear pair with backlash using the constrained feedback method

Wentao Gu, Sanmin Wang, Jiadong Xu

Proceedings Volume 6358, Sixth International Symposium on Instrumentation and Control Technology: Sensors, Automatic Measurement, Control, and Computer Simulation; 635825 (2006) https://doi.org/10.1117/12.717999
Event: Sixth International Symposium on Instrumentation and Control Technology, 2006, Beijing, China

Abstract

A constrained feedback technique is imposed to the original Pyragas' controller, and used to control the chaotic motions in the nonlinear system of a gear pair with backlash. Firstly, an unstable periodic orbit lying on the chaotic attractor of the nonlinear dynamic system is taken for the target orbit of the control system, and a specifically oscillator is concocted for acquiring the scale between the output signal and the target orbit. Secondly, the difference (change continuously) between the external oscillator and the output signal of the control system, as the control signal, is led into the system with negative feedback, and the chaos system can arrive at stable period orbit by adjusting the gain coefficient. The constrained feedback technique is offered by constraining the perturbation in the saturating bounds. Finally, the desired periodic orbit such as period-one, period-two, and period-four orbits in the gear pair chaotic motions are stabilized by using the constrained feedback control method. The simulation results show the constrained feedback method proposed by this paper is more stable than the original Pyragas' method.

Citation Download Citation

Wentao Gu, Sanmin Wang, and Jiadong Xu "Chaos control for nonlinear system of a gear pair with backlash using the constrained feedback method", Proc. SPIE 6358, Sixth International Symposium on Instrumentation and Control Technology: Sensors, Automatic Measurement, Control, and Computer Simulation, 635825 (30 October 2006); https://doi.org/10.1117/12.717999

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KEYWORDS

Control systems

Chaos

Feedback control

Complex systems

Signal processing

Oscillators

Dynamical systems

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