不确定时变时滞系统的自适应全局鲁棒滑模控制

针对一类存在时变状态时滞的不确定性系统, 基于全程滑模的思想, 引入一种带状态时滞项的积分型滑模面, 以消除趋近模态, 实现全程滑模控制; 基于一种新颖的自由权矩阵时滞转换模型, 采用线性矩阵不等式(LMI) 的方法给出并证明了滑动模态稳定的充分条件, 降低了保守性; 结合自适应控制思想设计出自适应滑模控制器, 克服了不确定性以及时变的时滞影响.

Adaptive global robust sliding mode control for uncertain systems with time-varying delay

The problem of designing global robust sliding robust controllers for a class of uncertain linear system with time-delay is considered. A type of integral sliding surface is introduced and the system exhibits global robustness during the entire response of the system. In terms of LMI, the design of sliding mode surface is obtained through the delay-dependent robust stable conclusions of the nominal time-delay system based on the state transformation mode of a novel free-weighting matrices, so that the conservative for the design of sliding mode surface is lowered. Based on the adaptive control scheme, an adaptive sliding mode controller is investigated, which can overcome uncertainties and time-delay.