Quantized feedback stabilization of continuous time-delay systems subject to actuator saturation. (November 2018)

• Record Type: Journal Article
• Authors: Song, Gongfei; Lam, James; Xu, Shengyuan
• Is Part Of: Nonlinear analysis. Volume 30(2018)
• Page Start: 1
• Page End: 13
• Publication Date: 2018-11
• Subjects: Actuator saturation -- Quantized feedback control -- Time-delay -- Delay-independent stabilization -- Delay-dependent stabilization; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2018.04.002
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this paper, the problem of quantized feedback stabilization is investigated for continuous time-delay systems subject to actuator saturation. By utilizing two different methods, delay-independent conditions are obtained to guarantee the existence of a region of admissible initial conditions from which all trajectories of the resulting closed-loop system converge to a neighborhood of the equilibrium. Furthermore, delay-dependent conditions are developed based on the delay partitioning idea and the Lyapunov–Razumikhin functional approach, respectively. Finally, several examples are provided to demonstrate the effectiveness of the proposed approaches.