DESIGN OF A SLIDING MODE CONTROLLER FOR A TORA SYSTEM

his paper presents the design of a sliding mode controller for an uncertain model of a TORA system (Translational Oscillations with a Rotational Actuator) as a two DOF underactuated mechanical system. The switching function is selected to make the TORA system an asymptotically stable mass-spring sy...

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Main Authors: Waladin Khairi Sa'id, Shibly Ahmed Hameed
Format: Article
Language:English
Published: University of Baghdad 2010-09-01
Series:Journal of Engineering
Subjects:
Online Access:https://www.joe.uobaghdad.edu.iq/index.php/main/article/view/3248
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author Waladin Khairi Sa'id
Shibly Ahmed Hameed
author_facet Waladin Khairi Sa'id
Shibly Ahmed Hameed
author_sort Waladin Khairi Sa'id
collection DOAJ
description his paper presents the design of a sliding mode controller for an uncertain model of a TORA system (Translational Oscillations with a Rotational Actuator) as a two DOF underactuated mechanical system. The switching function is selected to make the TORA system an asymptotically stable mass-spring system with a nonlinear damping effect when the sliding mode controller constrains the state to the sliding manifold. This sliding mode controller is derived here according to a new formula consisting of continuous and discontinuous parts. The main obstacle in the controller design is the uncertainty in the switching function, which appears in the controller formula. The sliding controller is found effective in bringing the system state to the neighborhood of the equilibrium point in spite of the uncertainty in the switching function. In addition, the chattering problem is solved via the use of approximate signum function.
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spelling doaj.art-c9a797d0f6674457be5697809d1816ef2024-03-10T09:51:48ZengUniversity of BaghdadJournal of Engineering1726-40732520-33392010-09-01160310.31026/j.eng.2010.03.20DESIGN OF A SLIDING MODE CONTROLLER FOR A TORA SYSTEMWaladin Khairi Sa'idShibly Ahmed Hameed his paper presents the design of a sliding mode controller for an uncertain model of a TORA system (Translational Oscillations with a Rotational Actuator) as a two DOF underactuated mechanical system. The switching function is selected to make the TORA system an asymptotically stable mass-spring system with a nonlinear damping effect when the sliding mode controller constrains the state to the sliding manifold. This sliding mode controller is derived here according to a new formula consisting of continuous and discontinuous parts. The main obstacle in the controller design is the uncertainty in the switching function, which appears in the controller formula. The sliding controller is found effective in bringing the system state to the neighborhood of the equilibrium point in spite of the uncertainty in the switching function. In addition, the chattering problem is solved via the use of approximate signum function. https://www.joe.uobaghdad.edu.iq/index.php/main/article/view/3248under actuated mechanical system, sliding mode controller, uncertainty
spellingShingle Waladin Khairi Sa'id
Shibly Ahmed Hameed
DESIGN OF A SLIDING MODE CONTROLLER FOR A TORA SYSTEM
Journal of Engineering
under actuated mechanical system, sliding mode controller, uncertainty
title DESIGN OF A SLIDING MODE CONTROLLER FOR A TORA SYSTEM
title_full DESIGN OF A SLIDING MODE CONTROLLER FOR A TORA SYSTEM
title_fullStr DESIGN OF A SLIDING MODE CONTROLLER FOR A TORA SYSTEM
title_full_unstemmed DESIGN OF A SLIDING MODE CONTROLLER FOR A TORA SYSTEM
title_short DESIGN OF A SLIDING MODE CONTROLLER FOR A TORA SYSTEM
title_sort design of a sliding mode controller for a tora system
topic under actuated mechanical system, sliding mode controller, uncertainty
url https://www.joe.uobaghdad.edu.iq/index.php/main/article/view/3248
work_keys_str_mv AT waladinkhairisaid designofaslidingmodecontrollerforatorasystem
AT shiblyahmedhameed designofaslidingmodecontrollerforatorasystem