输出饱和线性系统的稳定性及L2增益性能

摘要

The stability and L2 gain performance of linear systems subjectto output saturation are considered.The situation studied is that the output value is the saturation output of the state and the saturation function is the type of energy bounded.The result is represent that the stabilizable linear systems are semi-globally stabilizable via static feedback.In the present of static feedback,sufficient conditions which make close-loop systems satisfy the L2 gain performance prior given for two types of performance function respectively are derived.%考虑输出饱和线性系统的稳定性以及L2增益性能.在输出为状态量的饱和函数且饱和函数为能量有界的形式下，得出了可稳线性系统为可静态反馈半全局镇定的结论，并且对两类性能函数分别得出静态反馈下系统满足某L2增益性能指标的充分条件.