时间滞后系统的鲁棒稳定性及在飞行控制中的应用

给出了一种时间滞后系统的鲁棒稳定性分析方法．通过对系统鲁棒稳定条件不等式的变形，得到了该不等式可解的条件，该有解条件不仅大大简化了不等式，而且得到了新的时间滞后系统鲁棒稳定性判据，针对含有多个不同滞后时间的系统，给出了一种简明的鲁棒稳定性判别不等式，并根据鲁棒稳定性判据，分别给出了系统含有一个或多个时间滞后的鲁棒反馈控制器设计方法，该方法接近于普通的状态反馈设计，便于工程实现．飞行控制的实践表明，采用新方法可以得到满意的设计结果．当闭环希望极点选为各不相同的负实数时，鲁棒控制器的设计只需要多进行一次奇异值分解，即可完全等价于人们熟知的极点配置问题，该方法对于含有一个或多个时间滞后的系统都是适用的。

Robust Stability for Time-Delay System and Its Application to Flight Control

A new robust stability analysis method for time-delay system is presented. Through equivalent transformation of polynomial matrix inequality, the solvable condition for the inequality is obtained. Based on this condition, the robust inequality criterion for time-delay system is simplified and a numerically high efficient algorithm is developed. When systems are with multiple time delays, the equivalent inequity for the determination of robust stability of systems is provided, and the design method of robust feedback controller is introduced simultaneously. Comparison with other robust analysis methods of time-delay system shows that the new approach is more convenient to implement for both the robust stability analysis and the feedback control design. When all the poles hoped are considered as negative real, only one single value decomposition is needed, and other computational complexity of the new robust controller design is just as the one of ordinary pole assignments. The new algorithm of controller design is suitable to both single and multiple time delay systems.