一类非线性切换系统基于观测器的稳定性分析

针对在实际工程系统中状态不可观测的困难,考虑了同时包含李普希兹非线性干扰项和不确定项的切换系统的稳定性问题.在一定的假设条件下,讨论了系统的滑模观测器.在不确定项满足匹配条件的情况下,基于滑模观测器的设计,利用多李亚普诺夫函数方法得到了保证误差切换系统渐近稳定的充分条件,所设计的滑模观测器成为切换系统的渐近稳定的观测器.这为非线性切换系统利用观测器进行稳定性分析提供了一个新视角.最后通过仿真算例验证了所提方案的正确有效性.

Stability analysis for a class of nonlinear switched systems based on observer

With the problem that the states are difficult to be observed during the actual engineering systems,this paper is concerned with the stabilization problem for nonlinear switched systems both with Lipschitz nonlinearity and uncertainty.The sliding mode observer for the considered systems is discussed under some assumptions.Based on the sliding mode observer design,by using the method of multiple Lyapunov function,the matching condition yields a sufficient condition,which ensures the stability of the switched error systems.And also the sliding mode observer is shown to be stabilized.The results obtained provide a new insight into the stability analysis of the switched systems with uncertainty.Finally,a simulation example validates the correctness and effectiveness of the presented algorithms.