Global stabilization of high-order nonlinear time-delay systems by state feedback

作者：Zhang Xu; Lin Yan^*

来源：Systems & Control Letters, 2014, 65: 89-95.

DOI：10.1016/j.sysconle.2013.12.015

• High-order nonlinear systems
• Time-delay
• State feedback
• Dynamic gain-based backstepping

We consider the problem of global stabilization by state feedback for a class of high-order nonlinear systems with time-delay. By developing a novel dynamic gain-based backstepping approach, a state feedback controller independent of the time-delay is explicitly constructed with the help of appropriate Lyapunov-Krasovskii functionals. The precise knowledge (even the upper bound) of the time-delay is not required. It is proved that the states of the nonlinear time-delay systems can be regulated to the origin while all the closed loop signals are globally bounded. Finally, both physical and academic examples are given to illustrate the applications of the proposed scheme.

• 出版日期2014-3
• 单位北京航空航天大学