时间延迟系统的观测器设计

Design of a Functional Observer for Time-Delay Systems

给出了一种新颖的时间延迟系统的观测器设计方法.利用具有内部延迟的函数观测器实现了对状态延迟系统的状态估计,并给出了该观测器存在的充分必要条件.利用广义逆矩阵理论,将观测器的参数设计问题转化为求解一个参数矩阵的问题上来.同时,利用线性矩阵不等式技术,给出了一种不依赖时间延迟的函数观测器的稳定条件.

A new method designing a functional observer for time-delay systems is proposed. The estimation of state vectors for the system with states time-delay are realized using a functional observer with internal delay, and the necessary and sufficient condition for the existence of the functional observer is given, too. Then the design of the unknown matrices of the functional observer is converted to the design of a parameter matrix using the theory of generalized inverse. Meanwhile, a sufficient condition for the time-delay independent stability of the functional observer is derived using the linear matrix inequality technique.