一类含状态变时滞线性退化系统的自适应控制

Adaptive control on state delay for a type of linear delay degenerate systems

针对线性退化时滞系统,研究对时滞参数的自适应控制问题,基于闭环系统的中立型变换,用矩阵不等式方法,通过依赖于参数的Lyapunov-K rasovskii泛函,得到了此类系统的渐近稳定的充分条件,并在此基础上给出了适应性强的自适应律.

This paper discusses adaptive control for delay degenerate systems. Based on the model transformation of neutral type for closed-loop systems, sufficient conditions of stability for these problems are obtained via parameter-dependent Lyapunov-Krasovskii function and the method of solving a set of linear matrix inequality. The practical adaptive controller is also given in this article.