Liu Yang, Li Bowen, Lou Jungang
IEEE/ACM Trans Comput Biol Bioinform. 2016 Nov-Dec;13(6):1194-1200. doi: 10.1109/TCBB.2015.2509969. Epub 2015 Dec 17.
This paper investigates the controller designing for disturbance decoupling problem (DDP) of singular Boolean control networks (SBCNs). Using semi-tensor product (STP) of matrices and the Implicit Function Theorem, a SBCN is converted into the standard BCN. Based on the redundant variable separation technique, both state feedback and output feedback controllers are designed to solve the DDP of the SBCN. Sufficient conditions are also given to analyze the invariance of controllers concerning the DDP of the SBCN with function perturbation. Two illustrative examples are presented to support the effectiveness of these obtained results.
本文研究奇异布尔控制网络（SBCN）干扰解耦问题（DDP）的控制器设计。利用矩阵的半张量积（STP）和隐函数定理，将一个SBCN转化为标准的BCN。基于冗余变量分离技术，设计了状态反馈和输出反馈控制器来解决SBCN的DDP。还给出了充分条件，以分析具有函数摄动的SBCN的DDP的控制器不变性。给出了两个说明性例子来支持这些所得结果的有效性。
