Optimal control design for furuta's pendulum
DOI:
https://doi.org/10.37636/recit.v124953Keywords:
Optimal Control, Furuta Pendulum, Subactuated Systems, Electronic and Instrumentation.Abstract
In this article, we discuss the design of a controller for the Furuta pendulum, which is a subactuated, nonlinear and highly unstable system, which makes it a scientific and technological challenge. This system is often used in the domain of control theory as it helps to understand concepts of control mechanisms. The dynamics of the Furuta pendulum can be found in several high-profile physical systems, such as: two-wheel robots, Segway, personal transporters, rocket propellers, flight controls, etc. The objective is to solve the stabilization problem in the unstable inverted position of the pendulum using an optimal controller, making use of the dynamic model of a pendulum manufactured by Quanser©. A linear quadratic regulator was designed, such that the undisturbed system is stable around the unstable inverted position, while the input signal energy is appropriate. The existence of the solutions of Riccati's algebraic equation assures stabilization and detectability of the system and implies that the closed-loop system is stable. The results show that the controller satisfies the design requirements of the system.Downloads
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Yan Q.,"Output Tracking of Underactuated Rotary Inverted Pendulum by Nonlinear Controller", Proceedings of the 42nd IEEE Conference on Decision and Control, Vol. 3, pp. 2395−2400, 2003. http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.451.4866&rep=rep1&type=pdf
Reyhanoglu M., Mcclamroch y Kolmanovsky I., "Dynamics and Control of a Class of Underactuated Mechanical Systems", IEEE Trans. on A. C., Vol. 44, pp. 1663−1671, 1999. https://doi.org/10.1109/9.788533 DOI: https://doi.org/10.1109/9.788533
Boubaker O., "The Inverted Pendulum: A Fundamental Benchmark in Control Theory and Robotics", IEEE International Conference on Education and e-Learning Innovations, pp. 1−6, 2012. https://doi.org/10.1109/ICEELI.2012.6360606 DOI: https://doi.org/10.1109/ICEELI.2012.6360606
Tejado I. and Torres D., "Physical Modeling Based Simulators to Support Teaching in Automatic Control: the Rotatory Pendulum", IFAC-PapersOnLine, Vol. 49(6), pp.75−80, 2016. https://doi.org/10.1016/j.ifacol.2016.07.156 DOI: https://doi.org/10.1016/j.ifacol.2016.07.156
Pierre, R., "Control Engineering a Modern Approach", Sanders College Publishing, 1995. http://downloads.hindawi.com/journals/specialissues/508979.pdf
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Copyright (c) 2018 Jován Oseas Mérida Rubio, Paul Alejandro Chávez Vázquez, Luis Nestor Coria de los Ríos, Carlos Alberto Chávez Guzmán
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