TY - JOUR
T1 - Exponential stabilization of a non-uniform rotating disk-beam system via a torque control and a finite memory type dynamic boundary control
AU - Chentouf, Boumediène
AU - Smaoui, Nejib
N1 - Funding Information:
The authors would like to thank the associate editor and the referees for the careful reading of this paper and for their valuable suggestions and comments that have led to an improved version of this article. This work was supported and funded by Kuwait University, Research Project No. (SM02/17).
Funding Information:
The authors would like to thank the associate editor and the referees for the careful reading of this paper and for their valuable suggestions and comments that have led to an improved version of this article. This work was supported and funded by Kuwait University , Research Project No. ( SM02/17 ).
Publisher Copyright:
© 2019 The Franklin Institute
PY - 2019/12
Y1 - 2019/12
N2 - This paper is consecrated to the feedback stabilization of the rotating disk-beam system. The beam is assumed to be non-uniform and clamped at its left-end to the center of the disk where a torque control takes place, while a memory boundary control is acting at the right-end of the beam. First, the usual torque control is proposed, whereas the boundary control is designed by taking into account a special type of a memory phenomenon, as well as the dynamic features of the input. Sufficient conditions on the angular velocity of the disk and the memory term are derived to guarantee the existence and uniqueness of solutions of the system. Furthermore, the frequency domain method is utilized in order to achieve the exponential stability of the closed-loop system. The relevance of the theoretical outcomes is shown through several numerical simulations.
AB - This paper is consecrated to the feedback stabilization of the rotating disk-beam system. The beam is assumed to be non-uniform and clamped at its left-end to the center of the disk where a torque control takes place, while a memory boundary control is acting at the right-end of the beam. First, the usual torque control is proposed, whereas the boundary control is designed by taking into account a special type of a memory phenomenon, as well as the dynamic features of the input. Sufficient conditions on the angular velocity of the disk and the memory term are derived to guarantee the existence and uniqueness of solutions of the system. Furthermore, the frequency domain method is utilized in order to achieve the exponential stability of the closed-loop system. The relevance of the theoretical outcomes is shown through several numerical simulations.
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U2 - 10.1016/j.jfranklin.2019.08.011
DO - 10.1016/j.jfranklin.2019.08.011
M3 - Article
AN - SCOPUS:85074409776
SN - 0016-0032
VL - 356
SP - 11318
EP - 11344
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
IS - 18
ER -