Controller design for disturbance decoupling of Boolean control networks

被引:145
作者
Yang, Meng [1 ]
Li, Rui [1 ]
Chu, Tianguang [1 ]
机构
[1] Peking Univ, State Key Lab Turbulence & Complex Syst, Coll Engn, Beijing 100871, Peoples R China
关键词
Boolean control network; Disturbance decoupling; Output-friendly subspace; Redundant variable; Coordinate transformation; CONTROLLABILITY; SYSTEMS;
D O I
10.1016/j.automatica.2012.10.010
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We investigate a type of disturbance decoupling problem (DDP) of Boolean control networks. Using the semi-tensor product of matrices, the dynamics of a Boolean control network is expressed in its algebraic form. Under the framework of output-friendly subspace, we give a necessary and sufficient condition for the solvability of DDP by analyzing the redundant variables, and we present a computationally feasible method to construct all the valid feedback control matrices. The logical functions of each controller can be recovered from the obtained feedback control matrix. Finally, an example is provided to show the effectiveness of the proposed method. Crown Copyright (C) 2012 Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:273 / 277
页数:5
相关论文
共 22 条
[1]   Control of Boolean networks: Hardness results and algorithms for tree structured networks [J].
Akutsu, Tatsuya ;
Hayashida, Morihiro ;
Ching, Wai-Ki ;
Ng, Michael K. .
JOURNAL OF THEORETICAL BIOLOGY, 2007, 244 (04) :670-679
[2]  
[Anonymous], ANAL CONTROL BOOLEAN
[3]   Disturbance Decoupling of Boolean Control Networks [J].
Cheng, Daizhan .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (01) :2-10
[4]   A Linear Representation of Dynamics of Boolean Networks [J].
Cheng, Daizhan ;
Qi, Hongsheng .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (10) :2251-2258
[5]   Realization of Boolean control networks [J].
Cheng, Daizhan ;
Li, Zhiqiang ;
Qi, Hongsheng .
AUTOMATICA, 2010, 46 (01) :62-69
[6]   Controllability and observability of Boolean control networks [J].
Cheng, Daizhan ;
Qi, Hongsheng .
AUTOMATICA, 2009, 45 (07) :1659-1667
[7]   Input-State Approach to Boolean Networks [J].
Cheng, Daizhan .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (03) :512-521
[8]   BOOLEAN DIFFERENCE-EQUATIONS .1. FORMULATION AND DYNAMIC BEHAVIOR [J].
DEE, D ;
GHIL, M .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1984, 44 (01) :111-126
[9]   A new approach to decoding life: Systems biology [J].
Ideker, T ;
Galitski, T ;
Hood, L .
ANNUAL REVIEW OF GENOMICS AND HUMAN GENETICS, 2001, 2 :343-372
[10]  
Isidori A., 1995, Nonlinear Control Systems, V1