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Journal of Vibration Testing and System Dynamics 9(2) (2025) 159--168 | DOI:10.5890/JVTSD.2025.06.006

Angelo M. Tusset, Jose M. Balthazar, Marcos Gon\c{c}alves, Maria E. K. Fuziki, Giane G. Lenzi

Department of Production Engineering, Federal University of Technology-Paran'{a}, Paran'{a}-Rua Doutor Washington Subtil Chueire, 330, Ponta Grossa, (PR), 84017-220, Brazil

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Abstract

This paper presents a control strategy of a parametrically excited pendulum with hyperchaotic behavior. It is considered that the pendulum is on a base subject to oscillation like the waves, thereby generating pitch and vertical movements at the base. We have formulated a control to suppress the chaotic behavior of the pendulum. The control strategy involves the application of two control signals: a nonlinear feedforward control to maintain a desired periodic orbit and a state feedback control to bring the system trajectory into the desired periodic orbit. State-Dependent Riccati Equation (SDRE) control is considered for obtaining the state feedback control. Numerical simulations show the existence of chaotic behavior for some regions in the parameter space and the effectiveness of the proposed active control.

Acknowledgments

The authors declare that there are no conflicts of interest.

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