非线性系统鲁棒稳定性条件及其在飞行控制中的应用

给出了一种非线性系统鲁棒稳定性的分析方法。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。由此条件，不仅大大简化了不等式，而且得到了新的鲁棒稳定性判据。给出了系统鲁棒反馈控制的设计方法。同时，对系统不确定部分的不同表达式结果进行了分析，证实了在选取相同类型的李亚普诺夫函数时所得的系统鲁棒性解的存在条件是加权等价的。飞行控制器设计结果表明，该方法对不确定系统的分析和设计是有效的。

A New Criterion for Determining Robust Stability of Nonlinear System and its Application to Flight Control Design

In section 5, I give an example of flight control design. I use inequality (34) to confirm that the designed system possesses robust stability. Inequality (34) is a new criterion and it is convenient to use in engineering computation; but it is based on my theoretical research on the existence condition of robust stability of the linearized problem of a nonlinear system with uncertainties. Section 2 proves Theorem 1, which gives inequality (6) as the above mentioned existence condition. Section 4 gives the three steps of design of a feedback controller possessing robust stability; the third step is that inequality (34) should be satisfied; if it is not satisfied, the three steps have to be repeated by reassigning the positions of desired poles.