一类范数有界非线性不确定系统的稳定性判据

Stability Criterion of a Class of Norm Bounded Nonlinear Uncertain Systems

该文研究了一类具有范数有界不确定的非线性系统的鲁棒稳定性及其控制问题,应用Lyapunov稳定性定理、线性矩阵不等式、积分不等式等方法,得到这类不确定系统稳定的充分条件.由于在证明过程中没有引入任何自由权矩阵变量,包含更少的决策矩阵变量,对于减少系统的稳定性判据的保守性非常有效.

This paper studies a class with norm bounded uncertainty nonlinear system robust stability and its control,applying the Lyapunov stability theorem,linear matrix inequality,integral inequality method.A class of uncertain stability criterion of the system charge condition is obtained.Because there is no free weight matrix in the process of proof,the less decision matrix is included,which is very effective to reduce the stability criterion of the system.