具有多个执行机构Lurie系统的时滞相关稳定性

On Delay-Dependent Stability of Lurie Control Systems with Stationary Elements

L urie时滞控制系统是工程实践中经常遇到的一类重要的非线性控制系统 ,本文根据微分方程理论 ,提出了不确定性具有多个执行机构的 L urie时滞控制系统时滞相关稳定的充分性判据 ,并给出系统衰减速率的估计方法。该方法仅需假定时滞有界 ,因而其结论适用于变时滞的系统。文末给出应用本文结果的两个应用实例 ,并与相关成果进行了比较 。

Lurie control system is an important nonlinear control system in engineering. The problems of the robust stability and decay estimates of Lurie control system are considered. A new criterion is given by applying the differential theorem, the decay rate for such systems is also obtained. The only assumption is that the delay is bounded, the results can be applicable to systems with varying time delay. Finally, two numerical computations are presented for illustration and comparison with previous results. The result shows that the method is valid.