Robust Position Control of a Two-Sided 1-DoF Impacting Mechanical Oscillator Subject to an External Persistent Disturbance by Means of a State-Feedback Controller
Joint Authors
Turki, Firas
Gritli, Hassène
Belghith, Safya
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-12-07
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper proposes a state-feedback controller using the linear matrix inequality (LMI) approach for the robust position control of a 1-DoF, periodically forced, impact mechanical oscillator subject to asymmetric two-sided rigid end-stops.
The periodic forcing input is considered as a persistent external disturbance.
The motion of the impacting oscillator is modeled by an impulsive hybrid dynamics.
Thus, the control problem of the impact oscillator is recast as a problem of the robust control of such disturbed impulsive hybrid system.
To synthesize stability conditions, we introduce the S-procedure and the Finsler lemmas by only considering the region within which the state evolves.
We show that the stability conditions are first expressed in terms of bilinear matrix inequalities (BMIs).
Using some technical lemmas, we convert these BMIs into LMIs.
Finally, some numerical results and simulations are given.
We show the effectiveness of the designed state-feedback controller in the robust stabilization of the position of the impact mechanical oscillator under the disturbance.
American Psychological Association (APA)
Turki, Firas& Gritli, Hassène& Belghith, Safya. 2019. Robust Position Control of a Two-Sided 1-DoF Impacting Mechanical Oscillator Subject to an External Persistent Disturbance by Means of a State-Feedback Controller. Complexity،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1133152
Modern Language Association (MLA)
Turki, Firas…[et al.]. Robust Position Control of a Two-Sided 1-DoF Impacting Mechanical Oscillator Subject to an External Persistent Disturbance by Means of a State-Feedback Controller. Complexity No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1133152
American Medical Association (AMA)
Turki, Firas& Gritli, Hassène& Belghith, Safya. Robust Position Control of a Two-Sided 1-DoF Impacting Mechanical Oscillator Subject to an External Persistent Disturbance by Means of a State-Feedback Controller. Complexity. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1133152
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1133152