Output tracking control of Boolean control networks via state feedback: Constant reference signal case

This paper investigates the state feedback based output tracking control of Boolean control networks (BCNs) with a constant reference signal by using the semi-tensor product method. Based on the algebraic expression of BCNs and by constructing a series of reachable sets, a general procedure is proposed for the design of the state feedback laws for BCNs to track a constant reference signal. The study of an illustrative example shows that the obtained new results are effective in designing state feedback based output tracking controllers for BCNs to track a constant reference signal.

[1]  Michael Margaliot,et al.  Controllability of Boolean control networks via the Perron-Frobenius theory , 2012, Autom..

[2]  Yuzhen Wang,et al.  A matrix approach to graph maximum stable set and coloring problems with application to multi-agent systems , 2012, Autom..

[3]  Daizhan Cheng,et al.  Bi-decomposition of multi-valued logical functions and its applications , 2013, Autom..

[4]  Ettore Fornasini,et al.  On the periodic trajectories of Boolean control networks , 2013, Autom..

[5]  Lijun Zhang,et al.  Controllability and Observability of Boolean Control Networks With Time-Variant Delays in States , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[6]  Fangfei Li,et al.  Controllability of probabilistic Boolean control networks , 2011, Autom..

[7]  Jun-e Feng,et al.  Mix-valued logic-based formation control , 2013, Int. J. Control.

[8]  Aniruddha Datta,et al.  Intervention in a family of Boolean networks , 2006, Bioinform..

[9]  Ettore Fornasini,et al.  Optimal Control of Boolean Control Networks , 2014, IEEE Transactions on Automatic Control.

[10]  Fangfei Li,et al.  Controllability of Boolean control networks with time delays in states , 2011, Autom..

[11]  S. Kauffman.  Metabolic stability and epigenesis in randomly constructed genetic nets. , 1969, Journal of theoretical biology.

[12]  Xuxi Zhang.  Semitensor product based adaptive control for attitude tracking of spacecraft with unknown external disturbances , 2012 .

[13]  Michael Margaliot,et al.  A Maximum Principle for Single-Input Boolean Control Networks , 2011, IEEE Transactions on Automatic Control.

[14]  Yufei Xiao,et al.  A Tutorial on Analysis and Simulation of Boolean Gene Regulatory Network Models , 2009, Current genomics.

[15]  Daizhan Cheng,et al.  Controllability and observability of Boolean control networks , 2009, Autom..

[16]  M. Ng,et al.  Control of Boolean networks: hardness results and algorithms for tree structured networks. , 2007, Journal of theoretical biology.

[17]  Tianguang Chu,et al.  Complete Synchronization of Boolean Networks , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[18]  Edward R. Dougherty,et al.  The impact of function perturbations in Boolean networks , 2007, Bioinform..

[19]  D. Cheng,et al.  Stability and stabilization of Boolean networks , 2011 .

[20]  Jiandong Zhu,et al.  System decomposition with respect to inputs for Boolean control networks , 2014, Autom..

[21]  Yiguang Hong,et al.  Matrix Approach to Model Matching of Asynchronous Sequential Machines , 2013, IEEE Transactions on Automatic Control.

[22]  Yuzhen Wang,et al.  On reachability and controllability of switched Boolean control networks , 2012, Autom..

[23]  Tianguang Chu,et al.  State Feedback Stabilization for Boolean Control Networks , 2013, IEEE Transactions on Automatic Control.

[24]  B. Drossel,et al.  Number and length of attractors in a critical Kauffman model with connectivity one. , 2004, Physical review letters.

[25]  Daizhan Cheng,et al.  Input-state incidence matrix of Boolean control networks and its applications , 2010, Syst. Control. Lett..

[26]  Jongrae Kim,et al.  Aggregation Algorithm Towards Large-Scale Boolean Network Analysis , 2013, IEEE Transactions on Automatic Control.

[27]  Ettore Fornasini,et al.  Observability, Reconstructibility and State Observers of Boolean Control Networks , 2013, IEEE Transactions on Automatic Control.

[28]  Madalena Chaves,et al.  Methods for qualitative analysis of genetic networks , 2009, 2009 European Control Conference (ECC).

[29]  Jitao Sun,et al.  Output controllability and optimal output control of state-dependent switched Boolean control networks , 2014, Autom..

[30]  Daizhan Cheng,et al.  Analysis and Control of Boolean Networks , 2011 .

[31]  Tianguang Chu,et al.  Controller design for disturbance decoupling of Boolean control networks , 2013, Autom..

[32]  Daizhan Cheng,et al.  Disturbance Decoupling of Boolean Control Networks , 2011, IEEE Transactions on Automatic Control.

[33]  Daizhan Cheng,et al.  Identification of Boolean control networks , 2011, Autom..

[34]  M. Margaliot.  Controllability and observability of Boolean control networks , 2012 .

[35]  Tamer Kahveci,et al.  Scalable Steady State Analysis of Boolean Biological Regulatory Networks , 2009, PloS one.

[36]  Daizhan Cheng,et al.  Realization of Boolean control networks , 2010, Autom..

[37]  D. Cheng,et al.  Analysis and control of Boolean networks: A semi-tensor product approach , 2010, 2009 7th Asian Control Conference.

[38]  Daizhan Cheng,et al.  A Linear Representation of Dynamics of Boolean Networks , 2010, IEEE Transactions on Automatic Control.

[39]  Peng Cui,et al.  Singular Boolean networks: Semi-tensor product approach , 2012, Science China Information Sciences.

[40]  Daizhan Cheng,et al.  Optimal Control of Logical Control Networks , 2011, IEEE Transactions on Automatic Control.

[41]  Yuzhen Wang,et al.  Output feedback stabilization control design for Boolean control networks , 2013, Autom..