CONTROL OF AIRCRAFT WITH TIME DELAY

计算了时滞镇定问题的显式控制器显式解。它被描述为一个没有近似的乘性不确定性的鲁棒镇定问题。显式H_*，通过引入N-P插值问题，解析地得到了无穷次控制器，并将其应用于飞机动力学，设计了稳定飞机横摇动力学的控制器。结果表明，荷兰横摇模式的固有频率稳定裕度较小。并利用小增益定理和奈奎斯特方法估计了时滞的稳定裕度。由于小增益定理的保守性，Nyquist估计的差值大于小增益定理估计的差值。时间域的数值模拟表明，当延迟时间的失配在小增益定理所保证的裕度内时，响应具有良好的特性。

Explicite controller Explicite solution of stabilizing problem with time delay is calculated. It is formulated as a robust stabilizing problem of multiplicative uncertainties without approximations. Explicite H_*, controller with infinite degree is obtained analytically by resulting in Nevannlina-Pick interpolation problem.Application to aircraft dynamics The controller stabilizing roll dynamics of aircraft is designed. It is shown that the stability margin of natural frequency of Dutch roll mode is small. And stability margin of delay time is estimated by small gain theorem and Nyquist method. Because small gain theorem is conservative, estimated margin by Nyquist is larger than by small gain theorem. Numerical simulations in time domain indicate that the responses have good characteristics if the miss matching of delay time is in the margin guaranteed by small gain theorem.