Optimal control design for furuta's pendulum

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 contr...

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Detalhes bibliográficos
Autores: Mérida Rubio, Jován Oseas, Chávez Vázquez, Paul Alejandro, Coria de los Ríos, Luis Nestor, Chávez Guzmán, Carlos Alberto
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:México
Recursos:Universidad Autónoma de Baja California Sur
Repositorio:Repositorio Institucional de la UABCS
Idioma:español
OAI Identifier:oai:repositorioinstitucional.uabc.mx:20.500.12930/7004
Acesso em linha:https://recit.uabc.mx/index.php/revista/article/view/2oeyb2
Access Level:acceso abierto
Palavra-chave:Optimal Control
Furuta Pendulum
Subactuated Systems
Electronic and Instrumentation.
Control Óptimo
Péndulo de Furuta
Sistema Subactuado
Electrónica e Instrumentación.
Descrição
Resumo: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.