Global stabilisation for a class of uncertain nonlinear time-delay systems by dynamic state and output feedback

Abstract

This paper investigates the design problem of constructing the state and output feedback stabilisation controller for a class of uncertain nonlinear systems subject to time-delay. First, a dynamic linear state feedback control law with an adaptive strategy is developed to globally stabilise the uncertain nonlinear time-delay system under a lower-triangular higher-order growth condition. Then, one more challenging problem of the adaptive output feedback stabilisation is addressed, which can globally stabilise the time-delay system when the unmeasurable states linearly grow with rate functions consisting of higher-order output.

Keywords:

• nonlinear systems
• time-delay
• global stabilisation
• dynamic linear feedback control

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China [grant number 61374038], [grant number 61374050], [grant number 61473079]; Natural Science Foundation of Jiangsu Province of China [grant number BK2011253]; Research Fund for the Doctoral Program of Higher Education of China [grant number 20110092110021].