Our main purpose in this paper is to design distributed functional observers for a class of fractional-order time-varying interconnected time-delay systems. The contributions of this paper conclude three aspects. First, we propose novel functional observers for subsystems of the fractional-order time-varying interconnected time-delay systems. The designed distributed functional observers in this paper work for a wider class of interconnected time-delay systems in the sense that when some existing design methods cannot be applied to estimate linear functions of the state vector, the distributed functional observers in this paper can still estimate linear functions of the original state vector. Then, we establish existence conditions for the proposed functional observers. Finally, we provide effective algorithms for computing unknown observer matrices.

本文的主要目的是为一类分数阶时变互连时滞系统设计分布式函数观测器。本文的贡献总结了三个方面。首先，我们为分数阶时变互连时滞系统的子系统提出了新颖的功能观测器。从某种意义上说，当某些现有的设计方法不能应用于估计状态向量的线性函数时，本文中设计的分布式功能观察者仍然可以估算出状态向量的线性函数状态向量的线性函数。然后，我们为拟议的功能观察者建立了存在条件。最后，