一类多变时滞不确定系统的自适应鲁棒镇定

Robust adaptive stabilization for a class of uncertain systems with multiple time-varying delays

研究一类多变时滞不确定系统的鲁棒自适应镇定问题,假定时滞不确定性满足不匹配条件且上界值是未知的。结合线性矩阵不等式和Lyapunov-Krasovskii型泛函设计出了一种无记忆自适应状态反馈控制器,并证明此控制器使得闭环系统最终一致有界;仿真例子说明了结论的有效性。

The problem of robust adaptive stabilization for a class of multiple time - delay uncertain systems is discussed. The time - delay uncertainties are assumed to satisfy the mismatching conditions and the value of its upper bounds are unknown. By using of the LMI and Lyapunov - Krosovskii functional, a memoryless adaptive state feed-back controller is proposed, which can guarantee the closed - loop system is globally stable in the sense of uniform ultimate boundedness. An illustrative example is given to demonstrate the validity of the results.