Next Article in Journal
Enhancing Interaction with Augmented Reality through Mid-Air Haptic Feedback: Architecture Design and User Feedback
Previous Article in Journal
Tempo and Metrical Analysis by Tracking Multiple Metrical Levels Using Autocorrelation
Article

H Iterative Learning Boundary Vibration Control of Uncertain Vibrating String with Iteration-Varying Distributed Disturbance and Boundary Disturbance

1
School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China
2
PLOP Department, Petro-Energy E&P Co. Ltd. PDOC & PE Tower, Alsunut Area, Almogran, Khartoum P.O. Box 13473, Sudan
3
School of Electrical Engineering, Sudan University of Sciences and Technology, Khartoum P.O. Box 407, Sudan
*
Author to whom correspondence should be addressed.
Appl. Sci. 2019, 9(23), 5122; https://doi.org/10.3390/app9235122
Received: 12 October 2019 / Revised: 14 November 2019 / Accepted: 18 November 2019 / Published: 26 November 2019
By integrating H control into iterative learning boundary control (ILBC) with the method of lines (MOL), this paper suggests a novel scheme to reduce the vibrations of the uncertain vibrating string system in the presence of iteration-varying distributed/boundary disturbances. The dynamics of the string system are defined by two kinds of differential equations, namely: (a) non-homogenous hyperbolic partial differential equation (PDE) and (b) ordinary differential equations (ODEs). Firstly, MOL is employed to attain the string dynamics in the form of a state-space system instead of a PDE system. Secondly, ILBC is developed in a super-vector framework and integrated with the H control for decreasing the perturbations of the uncertain string system in the presence of iteration-varying distributed/boundary disturbances. Along the time, position, and iteration coordinates: (a) the boundary deflections of the string system are controlled; (b) the vibrations along the string are attenuated to zero; and (c) the external disturbances are excluded. Based on the H algebraic approach, performance/stability conditions and global convergence of the closed-loop string system are assured. Conducted simulations illustrate that the suggested scheme is efficient for diminishing the vibrations of certain and uncertain vibrating string system. View Full-Text
Keywords: distributed parameter system (DPS); H control; iterative learning boundary control (ILBC); method of line (MOL); partial differential equation (PDE); string system; system parameter uncertainties distributed parameter system (DPS); H control; iterative learning boundary control (ILBC); method of line (MOL); partial differential equation (PDE); string system; system parameter uncertainties
Show Figures

Figure 1

MDPI and ACS Style

Ahmed Eshag, M.; Ma, L.; Sun, Y.; Zhang, K. H Iterative Learning Boundary Vibration Control of Uncertain Vibrating String with Iteration-Varying Distributed Disturbance and Boundary Disturbance. Appl. Sci. 2019, 9, 5122. https://doi.org/10.3390/app9235122

AMA Style

Ahmed Eshag M, Ma L, Sun Y, Zhang K. H Iterative Learning Boundary Vibration Control of Uncertain Vibrating String with Iteration-Varying Distributed Disturbance and Boundary Disturbance. Applied Sciences. 2019; 9(23):5122. https://doi.org/10.3390/app9235122

Chicago/Turabian Style

Ahmed Eshag, Mohamed, Lei Ma, Yongkui Sun, and Kai Zhang. 2019. "H Iterative Learning Boundary Vibration Control of Uncertain Vibrating String with Iteration-Varying Distributed Disturbance and Boundary Disturbance" Applied Sciences 9, no. 23: 5122. https://doi.org/10.3390/app9235122

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop