Modeling, simulation and control of a twin-inverted pendulum on a moving cart

被引：3

作者：

Tamimi, Jasem ^{[1
]}

机构：

[1] Palestine Polytech Univ, Coll Engn, POB 198, Hebron, Palestine

来源：

INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING | 2021年 / 12卷 / 04期

关键词：

Twin-inverted pendulum; linear quadratic regulator; nonlinear model predictive control; STABILIZATION;

D O I：

10.1142/S1793962321500276

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, a mathematical model of a twin-inverted pendulum on a moving cart has been derived. This is done using the Lagrange-Euler method and, hence, a highly nonlinear mathematical model is resulted from this derivation. These nonlinear and unstable dynamics are written in a simple matrix form. For this challenging system, we use two types of efficient control approaches to treat the control problem of the twin inverted pendulum, namely, linear quadratic regulator (LQR) and nonlinear model predictive control (NMPC). Simulations with several scenarios are also presented to demonstrate the control performances and the model validity.

引用

页数：13

共 20 条

[1] Swing-up and stabilization of a Twin-Pendulum under state and control constraints by a fast NMPC scheme [J].

Alamir, Mazen ;

Murilo, Andre .

AUTOMATICA, 2008, 44 (05) :1319-1324

[2]

Bryson A. E., 2018, Applied optimal control: optimization, estimation and control

[3]

Coutinho D.F., 2007, 2007 AM CONTR C NEW, P2715

[4]

Craig J. J., 2009, INTRO ROBOTICS MECH

[5]

Khalil W., 2003, Modeling, Identification and Control of Robots

[6]

Lewis F. L., 2012, OPTIMAL CONTROL

[7] An optimal adaptive hybrid controller for a fourth-order under-actuated nonlinear inverted pendulum system [J].

Mahmoodabadi, Mohammad Javad ;

Haghbayan, Hamed Khoobroo .

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2020, 42 (02) :285-294

[8]

Olfa B., 2017, INVERTED PENDULUM CO, V111

[9]

Patra Akshaya Kumar, 2020, Advances in Intelligent Computing and Communication. Proceedings of ICAC 2019. Lecture Notes in Networks and Systems (LNNS 109), P338, DOI 10.1007/978-981-15-2774-6_41

[10]

Resende D.V., 2020, J VIBRAT ENG TECHNOL, P1

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