Robust adaptive vibration control for a string with time‐varying output constraint. (12th October 2018)

• Record Type: Journal Article
• Authors: He, Wei; Jing, Zhe; He, Xiuyu; Liu, Jin‐Kun; Sun, Changyin
• Is Part Of: International journal of robust and nonlinear control. Volume 28:Number 17(2018)
• Page Start: 5213
• Page End: 5231
• Publication Date: 2018-10-12
• Subjects: boundary control -- distributed parameter system -- flexible structures -- time‐varying output constraint -- vibration control; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.4300
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: In this paper, we present the vibration control design for a string with the boundary time‐varying output constraint. The dynamics of the string is a distributed parameter system described by a partial differential equation and two ordinary differential equations. A barrier Lyapunov function with a logarithmic function is adopted to prevent the time‐varying constraint violations. Adaptive control is designed to handle the system parametric uncertainties. Stability analysis and the solvability of the inequality equations are provided. Numerical simulations are provided to illustrate the effectiveness of the proposed control design.