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FEA-based tracking control of flexible body switching dynamic structure

Published online by Cambridge University Press:  09 August 2021

M. R. Homaeinezhad Open the ORCID record for M. R. Homaeinezhad [Opens in a new window]  and
F. FotoohiNia
M. R. Homaeinezhad*
Affiliation:
Faculty of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran
F. FotoohiNia
Affiliation:
Faculty of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran
*
*Corresponding Author. E-mails: mrhomaeinezhad@kntu.ac.ir; mrh.kntu@gmail.com
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Abstract

In dynamically switched systems with unknown switching signal, the control system is conventionally designed based on the worst switching scenario to ensure system stability. Such conservative design demands excessive control effort in less critical switching configurations. In the case of continuum mechanics systems, such excessive control inputs result in increased structural deformations and resultant modeling uncertainties. These deformations alter differential equations of motion which cripple the task of control. In this paper, a new approach for tracking control of uncertain continuum mechanics multivariable systems undergoing switching dynamics and unknown time delay has been proposed. Control algorithm is constructed based on the mathematical rigid model of the plant and a Common Lyapunov Function (CLF) is proposed upon sliding hyperplane regarding all switching configurations. Considering the model-based nature of sliding mode control (SMC) and inevitable uncertainties induced from modeling simplifications of continuum system or parameter evaluation errors, Finite Element Analysis (FEA) is utilized to approximate total model uncertainties. To obtain robust stability, instead of conventional switching functions in the construction of control law, the control inputs are selected such that system dynamics reside within stability bounds which are calculated based on the Lyapunov asymptotic stability criterion. Therefore, the unwanted chattering issue caused by continuous switching is not observed in control input signals. Eventually, the accuracy of the proposed method has been verified through the student version of ANSYS® mechanical APDL-based simulations and its effectiveness has been demonstrated in multiple operating conditions.

Keywords

flexible system controlswitched system controlunstructured uncertaintymultivariable control systemssliding mode control
Type
Research Article
Information
Robotica , Volume 40 , Issue 4 , April 2022 , pp. 1168 - 1187
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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