Stabilisation for upper-triangular nonlinear systems subject to time-delay via sampled-data control and its applications

Abstract

This paper investigates the stabilization problem for upper-triangular nonlinear systems subject to time-delay by using sampled-data control. In order to make the design process more feasible, the coordinate transformation is introduced to generate a scaling gain. Then the linear observer is constructed and the sampled-data controller is obtained based on the estimated states. Under the upper-triangular linear growth assumption and Lyapunov method, the suitable parameters can be selected to make the system achieve globally stable. It can be proved that the proposed method can also be extended to the system with multiple time delays. Finally, the effectiveness of the designed controller is demonstrated by using numerical and practical examples.

Keywords:

• Upper-triangular nonlinear system
• time-delay
• sampled-data control
• output feedback domination

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is partially supported by National Natural Science Foundation of China under Grant 61773207, the Natural Science Fund for Distinguished Young Scholars of Jiangsu Province under Grant BK20190020.