LURIE型不确定控制系统的时滞相关鲁棒稳定性

Robust Stability of Delay Dependence for Lurie Uncertain Control Systems

利用Razumikhin技术和向量不等式方法,通过构造适当的Lyapunov函数,对于具有多个时滞的Lurie型不确定控制系统的鲁棒稳定性问题进行研究,给出了该系统时滞相关鲁棒稳定的新的充分条件;同时,通过优化稳定性条件中的自由参数,得到了系统鲁棒稳定的另一时滞充分条件。对Lurie型不确定控制系统的的扰动为零时的绝对稳定性也进行了研究,获得了相应的结果,其结论与已有文献结果进行比较,说明所得结果推广了已有文献的结果,具有更好的实用性。

Using Razumikhin technique and vector inequality method, and through establishing proper Lyapunov function, this paper studies the robust stability of delay dependence for Lurie uncertain control systems with multiple delays and gives the new sufficient condition for the delay dependent robust stability for the said systems. Another delay dependent sufficient condition for the robust stability of the systems is derived by optimizing the free parameter in the established stability. The paper then studies the absolute stability in the times of non-disturbance for Lurie uncertain control systems and obtains corresponding results. Compared with other results ours are well extended and more applicable.