Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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OPTIMAL LINEAR CONTROL APPLIED TO A NON-IDEAL CAPSULE SYSTEM WITH UNCERTAIN PARAMETERS

  • ROEFERO, LUIZ GUSTAVO PEREIRA (ITA–Aeronautics Institute of Technology, Division of Mechanical and Aeronautical Engineering) ;
  • CHAVARETTE, FABIO ROBERTO (UNESP-Univ. Estadual Paulista, Institute of Chemistry, Department of Engineering, Physics and Mathematics) ;
  • OUTA, ROBERTO (Faculty of Technology of Aracatuba, Department of Biofuels) ;
  • MERIZIO, IGOR FELICIANI (Univ. Estadual Paulista, Faculty of Engineering of Ilha Solteira, Department of Mechanical Engineering) ;
  • MORO, THIAGO CARRETA (Univ. Estadual Paulista, Faculty of Engineering of Ilha Solteira, Department of Mechanical Engineering) ;
  • MISHRA, VISHNU NARAYAN (Department of Mathematics, Indira Gandhi National Tribal University)
  • Received : 2021.01.29
  • Accepted : 2021.07.19
  • Published : 2022.01.30
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Abstract

The design of mechanical structures aims to meet criteria, together with the safety of operators and lives in the vicinity of the equipment. Thus, there are several cases that meeting the desired specification causes the mechanical device to perform unstable and, sometimes, chaotic behavior. In these cases, control methods are applied in order to stabilize the device when in operation, aiming at the physical integrity of the component and the device operators. In this work, we will develop a study about the influence of a controller applied in a non-ideal capsule system operating with uncertain parameters, being non-existent in the literature. For this, two initial conditions were used: one that the capsule starts from rest and another that it is already in motion. Thus, the effectiveness of the controller can be assessed in both initial conditions, restricting the movement of the internal vibration-impact system to the capsule.

Keywords

Acknowledgement

The authors are very grateful to The Sao Paulo Research Foundation (FAPESP) for the financial support provided for the preparation of this work, through Process 2017/17601-8. As well, the authors would like to thank the Universidade Estadual Paulista "Julio de Mesquita Filho" and the Laboratory of Complex Systems (SisPLEXOS) for the space provided, without which it would not be possible to prepare the work.

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