基于输出反馈的时滞布尔网络的输出跟踪

Output Tracking of Delayed Boolean Control Networks via Output Feedback Control

研究了带有时滞的布尔控制网络的输出跟踪问题。首先,利用矩阵半张量积,将时滞布尔控制网络的逻辑形式转化为代数形式。其次,通过对代数状态空间进行研究,根据参考输出信号求得系统的最大控制不变子集,并且基于最大控制不变子集得到了时滞布尔控制网络输出跟踪问题可解的充分必要条件。随后,设计了一个有效的算法来求解控制器。最后,通过举例验证了理论结果的正确性。

This paper mainly focuses on the output tracking problem of Boolean control networks with time delays.Firstly,by the semi-tensor product of matrices,the delayed Boolean control networks(DBCNs)are converted into the algebraic form.Next,by studying the algebraic form,the largest control invariant subset of the system can be obtained based on the reference output signal.Based on the largest control invariant subset,the necessary and sufficient condition for the output tracking problem to be solvable is obtained.Next,an effective algorithm is provided to design the controller.Finally,an example is given to illustrate the correctness of the theoretical results.