一类不确定性拟单边Lipschitz非线性系统观测器设计

OBSERVERS DESIGN FOR A CLASS OF QUASI-ONE-SIDED LIPSCHITZ UNCERTAIN NONLINEAR SYSTEMS

本文研究了一类不确定性拟单边Lipschitz非线性系统观测器设计问题.利用拟单边Lipschitz条件代替通常的Lipschitz条件,得到了这类不确定性非线性系统观测器设计的线性矩阵不等式判据.结果推广了该类系统鲁棒H∞观测器问题.文末,给出了几个仿真算例以验证所给方法的正确性.

In this paper, the problem of observer design for a class of uncertain nonlinear systems is investigated. Using quasi-one-sided Lipschitz condition instead of the classical Lipschitz condition, a linear matrix inequality criterion to observer design for a class of uncertain nonlinear systems is given, which generalize H ∞ filter design. Some numerical examples are given to illustrate the proposed approach.