A fixed-time output feedback control scheme for double integrator systems. (June 2017)

• Record Type: Journal Article
• Authors: Tian, Bailing; Zuo, Zongyu; Yan, Xiaomo; Wang, Hong
• Is Part Of: Automatica. Volume 80(2017)
• Page Start: 17
• Page End: 24
• Publication Date: 2017-06
• Subjects: Output-feedback control -- Fixed-time stability -- Bi-homogeneity -- Double integrator system; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2017.01.007
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: A continuous output feedback control scheme rendering the closed-loop double integrator system globally stable in finite-time is presented. In particular, the convergence time is independent of initial conditions. The bi-limit homogeneous technique is used for controller and observer designs with fixed-time convergence. Then, a continuous output feedback control law is proposed for nominal double-integrator system and its perturbed version. The homogeneity and Lyapunov techniques are used to ensure the fixed-time stability of the closed-loop system under output feedback control framework. Finally, the efficiency of the proposed algorithms is illustrated by numerical simulations.