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 A robust stability analysis method for a class of nonlinear systems is given. By describing the different regions of a nonlinear system, the complex nonlinear problem is transformed into the problem of robust stability over multiple intervals. The conditional inequalities of the robust stability of the interval are transformed, and the conditions of solvability of the inequality are obtained. This condition not only greatly simplifies the inequality, but also obtains the new robust stability criterion. In addition, the design method of robust feedback control for nonlinear systems is given. Flight controller design results show that this method is effective for the analysis and design of uncertain systems