scholarly journals Non-linear swing-up and stabilizing control of an inverted pendulum system

Author(s):  
M. Bugeja
2013 ◽  
Vol 675 ◽  
pp. 31-34
Author(s):  
Hong Xing Li ◽  
Yong Xin Zhang

Inverted pendulum system is a non-linear,natural instability and uncertain system. As a controlled objects of control system in mechanical industry, it can be analysis and verification by different control theory and methods. The paper analysis the non-linear inverted pendulum system, then deduces sufficiency conditions of the existence of controller with state feedback. It utilizes standard digital software to get the answer. The feasibility and robustness is demonstrated by numerical examples.


2018 ◽  
Vol 51 (13) ◽  
pp. 314-319 ◽  
Author(s):  
Sánchez R. Bonifacio ◽  
Ordaz O. Patricio ◽  
Poznyak G. Alexander

2013 ◽  
Vol 336-338 ◽  
pp. 489-492
Author(s):  
Hong Xing Li ◽  
An Shan Lu

Inverted pendulum system is a complex, non-linear and uncertain high-order system. It is a simple model of the rockets vertical attitude control and two-legged walking robot control. It is used to study and validation of different control methods. The paper analysis the non-linear inverted pendulum system, then deduces sufficiency conditions of the existence of controller with output feedback and designs controller. It utilizes MATLAB software to get the answer. The feasibility of control method and robustness of controller are demonstrated by numerical examples.


2019 ◽  
Vol 291 ◽  
pp. 02004
Author(s):  
Atilla Bayram ◽  
Firat Kara ◽  
Mehmet Nuri Almali

Pendulum-based systems which are highly non-linear and unstable have become one of the most widely studied subject of control theory. The close interest of researchers on inverted pendulum problem arises from its strong representation ability with real engineering applications. This study focuses on the design and production of an experimental setup in which a spatial inverted pendulum can be balanced by means of a planar mechanism in RRRRP configuration. A mechanism with two different motion inputs (rotational and linear) that no studies were performed on before was prototyped. This system is highly unstable and shows non-linear dynamic behavior. The mechanical parts that forms the system were manufactured by a 3D printer and a CNC milling machine. At the end of study, a four-degree of freedom spatial inverted pendulum experimental setup has been established on which the control works can be carried out, by installing the electronic and electro-mechanical equipment.


2020 ◽  
Vol 2 (2) ◽  
pp. 99-104
Author(s):  
Alfian Ma'arif

Pada penelitian ini diterapkan pengendali linierisasi umpan balik pada sistem pendulum terbalik yang memiliki karakteristik tidak linear dan tidak stabil. Berdasarkan pada pengujian, pengendali yang diusulkan mampu untuk membuat sistem mengikuti sinyal referensi undak dan sinus. Nilai respons sistem untuk sinyal referensi undak adalah waktu naik sebesar 4,0386; waktu kestabilan sebesar 3,4656 dan overshoot sebesar 0 persen. Oleh karena itu dapat disimpulkan bahwa pengendali umpan balik linierisasi mampu untuk mengendalikan sistem pendulum terbalik mengikuti sinyal referensi.In this study, a feedback linearization controller was applied to an inverted pendulum system that has non-linear and unstable characteristics. Based on the test, the proposed controller is able to make the system follow step and sine reference signals. The system response value for the step reference signal is an increment time of 4.0386; the time of stability was 3,4656 and overshoot was 0 percent. Therefore, it can be concluded that the linearized feedback controller is able to control the inverted pendulum system following the reference signal.


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