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Interval Criterion of Robust Stability for Nonlinear System and Its Application to Flight Control

机译：非线性系统鲁棒稳定性的区间判据及其在飞行控制中的应用

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摘要

Robust stability for a series of nonlinear systems is presented in this paper. Through different region descriptions, the problem of stability for a complex nonlinear system is transformed into ones of the robust stabilities of several linear time-invariant systems. To get useful robust stability conditions, an expression for interval system is given, and the relationship between the internal stability and low- or supper-bound stability of interval systems is discussed. Thus, the polynomial matrix inequality for the determination of system robust stability is developed. Based on the equivalency transformation of the inequality , the solvable condition of the inequality is obtained. By means of the condition, robust stability theorem for interval systems is presented and a new design method of feedback control for nonlinear system is achieved. Applications to flight controller design show that the new method is efficient for uncertain system design.
机译：本文提出了一系列非线性系统的鲁棒稳定性。通过不同的区域描述，将复杂非线性系统的稳定性问题转化为几个线性时不变系统的鲁棒稳定性中的一个。为了获得有用的鲁棒稳定性条件，给出了区间系统的表达式，并讨论了区间系统的内部稳定性与上下界的稳定性之间的关系。因此，开发了用于确定系统鲁棒稳定性的多项式矩阵不等式。基于不等式的等价变换，得到了不等式的可解条件。以此条件为基础，提出了区间系统的鲁棒稳定性定理，提出了一种非线性系统反馈控制的新设计方法。在飞行控制器设计中的应用表明，该新方法对于不确定的系统设计是有效的。

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