An Automatic Self-Tuning Control System Design for an Inverted Pendulum

A control problem of an inverted pendulum in the presence of parametric uncertainty has been investigated in this paper. In particular, synthesis and implementation of an automatic self-tuning regulator for a real inverted pendulum have been given. The main cores of the control system are a swing-up...

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Main Authors: Michal Waszak, Rafal Langowski
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8985295/
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author Michal Waszak
Rafal Langowski
author_facet Michal Waszak
Rafal Langowski
author_sort Michal Waszak
collection DOAJ
description A control problem of an inverted pendulum in the presence of parametric uncertainty has been investigated in this paper. In particular, synthesis and implementation of an automatic self-tuning regulator for a real inverted pendulum have been given. The main cores of the control system are a swing-up control method and a stabilisation regulator. The first one is based on the energy of an inverted pendulum, whereas the second one uses the linear-quadratic regulator (LQR). Because not all of the inverted pendulum parameter values are exactly known an automatic self-tuning mechanism for designed control system has been proposed. It bases on a devised procedure for identifying parameters. The entire derived control system enables effective a pendulum swing-up and its stabilisation at an upper position. The performance of the proposed control system has been validated by simulation in Matlab/Simulink environment with the use of the inverted pendulum model as well as through experimental works using the constructed inverted pendulum on a cart.
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spelling doaj.art-a19f42ded0514d5597cf9ee907823de72022-12-21T20:29:03ZengIEEEIEEE Access2169-35362020-01-018267262673810.1109/ACCESS.2020.29717888985295An Automatic Self-Tuning Control System Design for an Inverted PendulumMichal Waszak0https://orcid.org/0000-0003-0294-0154Rafal Langowski1https://orcid.org/0000-0003-1150-9753Department of Electrical Engineering, Control Systems and Informatics, Gdańsk University of Technology, Gdańsk, PolandDepartment of Electrical Engineering, Control Systems and Informatics, Gdańsk University of Technology, Gdańsk, PolandA control problem of an inverted pendulum in the presence of parametric uncertainty has been investigated in this paper. In particular, synthesis and implementation of an automatic self-tuning regulator for a real inverted pendulum have been given. The main cores of the control system are a swing-up control method and a stabilisation regulator. The first one is based on the energy of an inverted pendulum, whereas the second one uses the linear-quadratic regulator (LQR). Because not all of the inverted pendulum parameter values are exactly known an automatic self-tuning mechanism for designed control system has been proposed. It bases on a devised procedure for identifying parameters. The entire derived control system enables effective a pendulum swing-up and its stabilisation at an upper position. The performance of the proposed control system has been validated by simulation in Matlab/Simulink environment with the use of the inverted pendulum model as well as through experimental works using the constructed inverted pendulum on a cart.https://ieeexplore.ieee.org/document/8985295/Dynamics modellingidentification procedureinverted pendulumparametric uncertaintyself–tuning regulator
spellingShingle Michal Waszak
Rafal Langowski
An Automatic Self-Tuning Control System Design for an Inverted Pendulum
IEEE Access
Dynamics modelling
identification procedure
inverted pendulum
parametric uncertainty
self–tuning regulator
title An Automatic Self-Tuning Control System Design for an Inverted Pendulum
title_full An Automatic Self-Tuning Control System Design for an Inverted Pendulum
title_fullStr An Automatic Self-Tuning Control System Design for an Inverted Pendulum
title_full_unstemmed An Automatic Self-Tuning Control System Design for an Inverted Pendulum
title_short An Automatic Self-Tuning Control System Design for an Inverted Pendulum
title_sort automatic self tuning control system design for an inverted pendulum
topic Dynamics modelling
identification procedure
inverted pendulum
parametric uncertainty
self–tuning regulator
url https://ieeexplore.ieee.org/document/8985295/
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