Stability of the Furuta pendulum with delayed digital controller

被引:2
作者
Vizi, Mate B. [1 ]
Stepan, Gabor [1 ]
机构
[1] Budapest Univ Technol & Econ, Dept Appl Mech, Budapest, Hungary
关键词
Furuta pendulum; delay; stability chart;
D O I
10.1016/j.ifacol.2021.11.140
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Balancing with a digitally controlled Furuta pendulum is investigated. As a digital effect, the sampling delay is taken into account in the system model. The actuator is modeled by means of the characteristic of a DC motor. The control is considered as a linear feedback of the pendulum position, angular velocity and arm angular velocity. The corresponding continuous and discrete time models are derived. Stability charts are obtained for different sampling times, also the critical sampling time is determined. The theoretical results are compared to experiments, which show satisfactory agreement with each other, which highlights the importance of sampling delay in both the real and modeled system behavior. Copyright (C) 2021 The Authors.
引用
收藏
页码:204 / 208
页数:5
相关论文
共 50 条
[21]   Adaptive Neural Network Control for the Trajectory Tracking of the Furuta Pendulum [J].
Moreno-Valenzuela, Javier ;
Aguilar-Avelar, Carlos ;
Puga-Guzman, Sergio A. ;
Santibanez, Victor .
IEEE TRANSACTIONS ON CYBERNETICS, 2016, 46 (12) :3439-3452
[22]   New approach for swinging up the Furuta pendulum: Theory and experiments [J].
La Hera, Pedro X. ;
Freidovich, Leonid B. ;
Shiriaev, Anton S. ;
Mettin, Uwe .
MECHATRONICS, 2009, 19 (08) :1240-1250
[23]   Model-Based Design for Rapid Controller Prototyping of Furuta Pendulum: a Case Study Using Low-Cost Hardware [J].
Nunna, Kameswarie ;
Gautier, Nicolas ;
Malack, Sebastian ;
Kim, Mischa .
2016 UKACC 11TH INTERNATIONAL CONFERENCE ON CONTROL (CONTROL), 2016,
[24]   Limit Cycle Elimination in Inverted Pendulums: Furuta Pendulum and Pendubot [J].
Antonio-Cruz, Mayra ;
Manuel Hernandez-Guzman, Victor ;
Silva-Ortigoza, Ramon .
IEEE ACCESS, 2018, 6 :30317-30332
[25]   Fixed Point Transformation-Based Adaptive Control of the Furuta Pendulum [J].
Csanadi, Bertalan ;
Tar, Jozsef K. ;
Bito, Janos F. .
2016 17TH IEEE INTERNATIONAL SYMPOSIUM ON COMPUTATIONAL INTELLIGENCE AND INFORMATICS (CINTI 2016), 2016, :49-54
[26]   Nonlinear control with friction compensation to swing-up a Furuta pendulum [J].
Antonio-Cruz, Mayra ;
Hernandez-Guzman, Victor Manuel ;
Merlo-Zapata, Carlos Alejandro ;
Marquez-Sanchez, Celso .
ISA TRANSACTIONS, 2023, 139 :713-723
[27]   Experimental implementation of stable oscillations of the Furuta pendulum around the upward equilibrium [J].
Freidovich, Leonid B. ;
Shiriaev, Anton S. ;
Manchester, Ian R. .
2007 IEEE/RSJ INTERNATIONAL CONFERENCE ON INTELLIGENT ROBOTS AND SYSTEMS, VOLS 1-9, 2007, :171-176
[28]   Nonlinear stabilization control of Furuta pendulum only using angle position measurements [J].
Zhao, Lin ;
Gong, Shuli ;
Zhang, Ancai ;
Cong, Lanmei .
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2016, 16 (03) :452-460
[29]   Analysis of controllers by state feedback, optimal control and diffuse logic, for a pendulum of Furuta [J].
Ortiz, Juan P. ;
Reinoso, Manuel J. .
INGENIUS-REVISTA DE CIENCIA Y TECNOLOGIA, 2013, (09) :15-22
[30]   Swing up and Arm Trajectory Tracking of the Furuta Pendulum with Sliding Mode Control [J].
Manesh, Mohammad Javad Karamin ;
Goltapeh, Akbar Nikzad .
2017 5TH RSI INTERNATIONAL CONFERENCE ON ROBOTICS AND MECHATRONICS (ICROM 2017), 2017, :346-351