受扰布尔控制网络全局可重构分析与状态估计

Global reconstructibility analysis and state estimation of Boolean control networks with disturbance

受扰布尔控制网络的状态转移,因受未知干扰影响而具有不确定性,这对状态观测器设计带来了困难.本文主要研究了受扰布尔控制网络全局可重构性问题,并在此基础上设计状态观测器.首先,将受扰布尔控制模型转化为多个子系统的切换未知布尔控制网络模型,在此基础上,提出了受扰布尔控制网络的4种不同状态集.其次,基于状态集估计方法,对受扰布尔控制网络状态估计问题进行分析.再次,提出有限时间可重构与全局可重构性概念;同时,根据状态集估计与状态转移分析,分别给出有限时间可重构判定算法与全局可重构性证明的充要条件.最后,给出观测器设计方法,并通过例子证明了本文提出方法的可行性.

The state evolution of Boolean control networks with disturbance is uncertain,which affects the design of system state observer.This paper investigates the global reconstructibility of Boolean control networks with disturbance and proposes a kind of state observer base on the global reconstructibility.Firstly,the Boolean control network(BCN)considered in this paper is transformed into a switched BCN,where the unknown disturbance is treated as an unknown switching signal.Then,four different state sets are proposed for a given BCN with disturbance.Secondly,the problem of state estimation is also investigated for BCN with disturbance by state set-estimation method.Thirdly,the concepts of finitetime reconstructibility and global reconstructibility are proposed.Meanwhile,based on the state set-estimation method,a determination algorithm for finite-time reconstructibility is given.Based on the analysis of state transition,a necessary and sufficient condition is presented for global reconstructibility proof.Finally,a state observer is developed for BCN with disturbance,and an example is provided to show the feasibility of the methods proposed in this paper.