Global stabilization via homogeneous output feedback for a class of uncertain nonlinear systems subject to time delays. (June 2014)

• Record Type: Journal Article
• Authors: Chai, Lin; Qian, Chunjiang
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 36:Number 4(2014)
• Page Start: 478
• Page End: 486
• Publication Date: 2014-06
• Subjects: Output feedback control -- global stabilization -- homogeneous domination approach; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331213507076
• Languages: English
• ISSNs: 0142-3312

Abstract

This paper addresses the problem of global output feedback stabilization for a class of uncertain nonlinear systems subject to time delay. Using the homogeneous domination approach, we first construct a homogeneous output feedback controller with an adjustable scaling gain. With the aid of a homogeneous Lyapunov–Krasovskii functional, the scaling gain is adjusted to dominate the time-delay nonlinearities bounded by homogeneous growth conditions and render the closed-loop system globally asymptotically stable. As a special case, a linear output feedback controller with a tunable scaling gain is constructed to globally stabilize time-delay systems under a linear growth condition. In addition, we also show the proposed approach is applicable to the time-delay systems under lower-order growth conditions and non-triangular growth conditions.