Optimal design of an LQG controller for an inverted pendulum mechanical system

The objective of this work was to design a linear quadratic controller for a system with an inverted pendulum in a mobile robot. Quantitative type research is described, with a non-experimental descriptive transectional study design. With the support of a documentary investigation. For the operation...

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Detalles Bibliográficos
Autores: Erazo-Velasco, Ismael Elías, Bautista-Sánchez, José Vicencio, Rodríguez-Jijón, Roberto Iván, González-Quiñonez, Luis Adrián
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:Brasil
Institución:Sapienza Grupo Editorial
Repositorio:Sapienza (Curitiba)
Idioma:español
OAI Identifier:oai:ojs2.journals.sapienzaeditorial.com:article/536
Acceso en línea:https://journals.sapienzaeditorial.com/index.php/SIJIS/article/view/536
Access Level:acceso abierto
Palabra clave:Pêndulo invertido, equações de Lagrange, controle quadrático linear LQR, filtro de Kalman e controle quadrático gaussiano LQG
Inverted pendulum, Lagrange equations, LQR linear quadratic control, Kalman filter and LQG Gaussian quadratic control
Péndulo invertido, ecuaciones de Lagrange, control cuadrático lineal LQR, filtro Kalman y control cuadrático gaussiano LQG
Descripción
Sumario:The objective of this work was to design a linear quadratic controller for a system with an inverted pendulum in a mobile robot. Quantitative type research is described, with a non-experimental descriptive transectional study design. With the support of a documentary investigation. For the operational development of this research, a simulation study was carried out in the MATLAB Simulink environment. The results obtained show that both LQR and LQG are able to control the success of this system completely. It is concluded that by proper manipulation of the state/control weights and the noise covariance matrices, both LQR and LQG will give a satisfactory result.