Boundary control for a flexible string system with input saturation constraint. Issue 2 (4th December 2018)

• Record Type: Journal Article
• Authors: Zhao, Zhijia; Ren, Zhigang; Ma, Yonghao
• Is Part Of: Asian journal of control. Volume 22:Issue 2(2020)
• Page Start: 934
• Page End: 943
• Publication Date: 2018-12-04
• Subjects: backstepping -- boundary control -- distributed parameter systems -- disturbance observer -- input saturation; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.1975
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: In this study, we focus on the boundary control problem for a vibrating string system with saturated input under the condition of external disturbances. Based on the backstepping approach, a boundary vibration control scheme is proposed to globally stabilize the string around the equilibrium position. A smooth hyperbolic tangent function is exploited to restrict the control input, an auxiliary system and a Nussbaum function are adopted to cope with the nonlinear term derived from the input saturation, and a disturbance observer is employed to tackle the boundary disturbance. The developed controller can assure the convergence of the closed‐loop system state to a small neighbourhood of zero. By the appropriate choice of control design parameters, numerical simulation is conducted to show the effectiveness of the derived control.