Abstract
This work presents a dynamical analysis for the Malkus-Lorenz waterwheel, a physical system that behaves following the Lorenz equations. With this, two types of controllers were designed to control the system presenting chaotic behavior. The first controller is the time-delay feedback control (TDFC), and the second one is the State-Dependent Riccati Equation control (SDRE). The control strategy for the SDRE control involves the application of two signals: a nonlinear feedforward signal to maintain the controlled system in a periodic orbit, and a feedback signal, to take the system trajectory into the desired periodic orbit. Numerical simulations demonstrated the effectiveness of the control strategy in taking the system presenting chaotic behavior into a desired periodic orbit. In addition, the SDRE control robustness is investigated analyzing parametric errors in control loop.
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Tusset, A.M., Balthazar, J.M., Ribeiro, M.A., Lenz, W.B., Marsola, T.C.L., Pereira, M.F.V. (2019). Dynamics Analysis and Control of the Malkus-Lorenz Waterwheel with Parametric Errors. In: Belhaq, M. (eds) Topics in Nonlinear Mechanics and Physics. Springer Proceedings in Physics, vol 228. Springer, Singapore. https://doi.org/10.1007/978-981-13-9463-8_2
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DOI: https://doi.org/10.1007/978-981-13-9463-8_2
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