Adaptive boundary control and vibration suppression of a flexible satellite system with input saturation. (June 2019)

• Record Type: Journal Article
• Authors: Fu, Yun; Liu, Yu; Huang, Daoping
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 41:Number 9(2019)
• Page Start: 2666
• Page End: 2677
• Publication Date: 2019-06
• Subjects: Adaptive boundary control -- distributed parameter system -- disturbance adaptive law -- vibration control -- input saturation; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331218806962
• Languages: English
• ISSNs: 0142-3312

Abstract

In this paper, the vibration suppression problem of a flexible satellite system is addressed. The dynamic model of the flexible satellite system is expressed by a set of non-homogeneous partial differential equations (PDEs). By using the theory of systems with uniform ultimate bounded (UUB) solutions and adaptive techniques, adaptive boundary control is presented to suppress the vibration of the flexible satellite with parametric uncertainties. A disturbance adaptive law is constructed to compensate for the effect of the boundary disturbance, and an auxiliary system is considered to mitigate the effect of input saturation. The well-posedness of the closed-loop system is discussed, and UUB stability can be ensured through a rigorous Lyapunov-like analysis. Numerical simulation results show the effectiveness of the proposed control scheme.