一类时滞Lipschitz广义系统的全阶和降阶观测器设计(英文)

Full-order and reduced-order observer for a class of Lipschitz descriptor systems with delay

考虑一类时滞Lipschitz广义系统的指数观测器设计问题。基于Lyapunov稳定性理论,通过构造适当的Lyapunov泛函,通过统一的线性矩阵不等式给出系统全阶观测器和降阶观测器存在的充分条件,同时给出观测器增益矩阵的设计方法,能使得相应的误差系统指数收敛。数值例子表明所提出方法的有效性。

The problem of exponential observer design tbr a class oI connnuous terns with Lipschitz constraint and delay is considered. Based on Lyapunov stability theory, an appropriate Lyapunov functional is constructed firstly and then a sufficient condition on the existence of full-order and reduced-order observers is given, which is expressd by a unified linear matrix inequality. The design method on the observer gain matrix is given at the same time. The corresponding errors systems are guaranteed to be exponentially convergent. Finally, a numerical example is presented to show the effectiveness of the proposed approach.