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.
CITATION STYLE
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 Springer Proceedings in Physics (Vol. 228, pp. 57–70). Springer Science and Business Media, LLC. https://doi.org/10.1007/978-981-13-9463-8_2
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