一类受扰时滞系统的滑模观测器设计

针对一类时滞系统,首先考虑时滞系统不包含外部干扰时观测器的设计问题,其次考虑了包含外部干扰的时滞系统的观测器设计问题·所研究的时滞系统中包含的干扰项由两部分组成,一部分是满足全局李普希兹条件的非线性项,另一部分为有界不确定项,并且系统时滞是可变的·基于李亚普诺夫稳定性理论利用滑模控制使得误差系统镇定,并将该稳定性问题转化为一类线性矩阵不等式的求解问题,使得构造的滑模观测器能够观测原系统·最后给出仿真实例,说明所设计的观测器是有效可行的·

Design of Sliding Mode Observer for Disturbed Time-Delay System

An observer design method is proposed for a class of time-delay nonlinear systems. The observer design for the systems without external disturbance is considered first and then the systems with uncertain external disturbance. The delay-time is entirely owing to time variation, and the disturbance is composed of two parts, i.e., a nonlinear term which is assumed to satisfy global Lipschitiz conditions!and an uncertain bounded term. The sliding mode theory is applied to stabilizing the error estimation system, based on Lyapunov stability theory. Then, the stability problem can be transferred into the solution to a class of linear matrix inequalities. A simulation example is given to illustrate the feasibility of the presented method.