Control of Chaos in an Impact Mechanical Oscillator
نویسندگان
چکیده
This paper deals with the control of chaos exhibited by an impacting mechanical oscillator of one-degree-of-freedom. Its mathematical model is represented by an impulsive hybrid non-autonomous linear dynamics. This dynamics can display attractive nonlinear phenomena such as bifurcations and chaos. In this paper, we propose an approach to control chaos. The proposed strategy is based primarily on the OGY method. First, we derive an analytical expression of a constrained controlled Poincaré map where. Its fixed point is identified numerically. Then we determine the linearized controlled Poincaré map around this fixed point. Based on this linearized map, we will design a state feedback controller to stabilize the fixed point and then to control chaos.
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