时滞不确定非线性系统的滑模控制

Sliding Mode Control of Uncertain Nonlinear Systems with Time-Delay

对一类含有时滞且具有非匹配不确定的非线性系统研究了滑模变结构控制问题.利用线性矩阵不等式和Lyapunov函数方法设计了滑模面和保证滑模存在的控制律.数值例子说明了该方法的有效性.

For a class of nonlinear systems with time-delay and mismatched uncertainties,the problem of sliding mode control is researched.Based on the linear matrix inequality（LMI） and Lyapunov function method,the sliding surfaces and the control maw which can ensure the existence of sliding mode are developed.A numerical example illustrates the validity of the method.