Adaptive finite-time control for non-linear delay systems via non-fragile state feedback. (May 2017)

• Record Type: Journal Article
• Authors: Yang, Yitao; Hou, Linlin; Sun, Haibin
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 39:Number 5(2017)
• Page Start: 635
• Page End: 641
• Publication Date: 2017-05
• Subjects: Adaptive finite-time stability -- adaptive finite-time boundedness -- non-fragile state feedback controller -- time delay; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331215614484
• Languages: English
• ISSNs: 0142-3312

Abstract

The problem of adaptive finite-time control is addressed in this paper for a class of non-linear delay systems. First, the concepts of adaptive finite-time stability and adaptive finite-time boundedness are defined, respectively. Then, by resorting to the Lyapunov–Krasovskii functional technique, some new delay-dependent criteria guaranteeing adaptive finite-time boundedness and adaptive finite-time stability are developed, respectively. An explicit expression for the desired non-fragile state feedback controller is also presented. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed results.