时间滞后系统鲁棒控制方法及在飞控中的应用

给出了一种时间滞后系统的鲁棒控制方法。通过对系统鲁棒稳定性条件不等式的等价变形，得到了该不等式可解的条件并且大大简化了不等式；从而得到了包含复极点的时间滞后系统的鲁棒稳定性判据。针对系统具有多个时间滞后问题，运用系统单个滞后的鲁棒稳定性不等式判据，给出了包含复极点的简明鲁棒稳定性判别式。该方法接近于普通的状态反馈设计，便于工程实现。飞行器控制设计的仿真计算结果表明，采用新方法可以得到满意的设计结果。

Robust Control Method for Time-Delay System and Its Applicationin Flight Control

A new robust control method is presented for time-delay system. Through the transformation of polynomial matrix inequality of equivalent system, the solvable condition of stable inequality is obtained, which can be used to analyze the systems with the eigenvalues in the complex plane. Based on this condition, the robust inequality criterion for time-delay system is simplified and high numerically efficient algorithm is developed. When control systems are with multiple time delays, the equivalent inequality for the determination of robust stability of systems is given. By means of these inequities, the design method of robust feedback controller is obtained. The new approach is convenient for the implementation of both the robust stability analysis and the feedback control design. Simulations to aircraft flight control show that by using the new method satisfactory results can be obtained.