非线性系统鲁棒稳定的区间判据及其在飞行控制中的应用

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给出了一类非线性系统的鲁棒稳定性分析方法.通过对非线性系统的不同区域描述,将复杂的非线性问题转化为多个区间鲁棒稳定性问题.对区间鲁棒稳定性条件不等式进行变形,得到了该不等式可解的条件.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.进而,给出了非线性系统鲁棒反馈控制的设计方法.飞行控制器设计结果表明,本方法对不确定系统的分析和设计是有效的.
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