Output Regulation of Boolean Control Networks With Nonuniform Sampled-Data Control

This paper investigates the output regulation problem of Boolean control networks by nonuniform sampled-data control, where the sampling period is aperiodic. By using the semi-tensor product technique, some necessary and sufficient criteria are put forward for the solvability of this problem. Moreover, an executable adjustment algorithm is constructed for the feasible controller’s design. Finally, an illustrative example demonstrates the applicability of the criteria in the output regulation problem.

[1]  Dongdai Lin,et al.  Driven Stability of Nonlinear Feedback Shift Registers With Inputs , 2016, IEEE Transactions on Communications.

[2]  W. Marsden I and J , 2012 .

[3]  Jinde Cao,et al.  Sampled-data stabilization of probabilistic Boolean control networks , 2019, Syst. Control. Lett..

[4]  Jinde Cao,et al.  Stabilization of Boolean Control Networks Under Aperiodic Sampled-Data Control , 2018, SIAM J. Control. Optim..

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

[6]  Yang Liu,et al.  Sampled-Data State Feedback Control for the Set Stabilization of Boolean Control Networks , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[7]  Daniel W. C. Ho,et al.  Global robust stability and stabilization of Boolean network with disturbances , 2017, Autom..

[8]  Bowen Li,et al.  Robust Invariant Set Analysis of Boolean Networks , 2019, Complex..

[9]  Yang Liu,et al.  Set Stability and Stabilization of Switched Boolean Networks With State-Based Switching , 2018, IEEE Access.

[10]  Weiwei Sun,et al.  Event-triggered control for robust set stabilization of logical control networks , 2018, Autom..

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

[12]  Yuanyuan Li,et al.  On Robust Synchronization of Drive-Response Boolean Control Networks with Disturbances , 2018, Mathematical Problems in Engineering.

[13]  Zhen Wang,et al.  Event-Triggered Control for the Stabilization of Probabilistic Boolean Control Networks , 2018, Complex..

[14]  Yang Liu,et al.  Robust Control Invariance of Probabilistic Boolean Control Networks via Event-Triggered Control , 2018, IEEE Access.

[15]  Gang Feng,et al.  Stability and $l_1$ Gain Analysis of Boolean Networks With Markovian Jump Parameters , 2017, IEEE Transactions on Automatic Control.

[16]  Jie Huang,et al.  A general framework for tackling the output regulation problem , 2004, IEEE Transactions on Automatic Control.

[17]  Jinde Cao,et al.  Further Results on the Controllability of Boolean Control Networks , 2019, IEEE Transactions on Automatic Control.

[18]  Yang Liu,et al.  Event-Triggered Control for the Disturbance Decoupling Problem of Boolean Control Networks , 2018, IEEE Transactions on Cybernetics.

[19]  Huijun Gao,et al.  Robust $H_{\infty }$ Self-Triggered Control of Networked Systems Under Packet Dropouts , 2016, IEEE Transactions on Cybernetics.

[20]  Jinde Cao,et al.  On the ensemble controllability of Boolean control networks using STP method , 2019, Appl. Math. Comput..

[21]  Ádám M. Halász,et al.  Stochastic Modeling and Control of Biological Systems: The Lactose Regulation System of Escherichia Coli , 2008, IEEE Transactions on Automatic Control.

[22]  Jinde Cao,et al.  The transformation between the Galois NLFSRs and the Fibonacci NLFSRs via semi-tensor product of matrices , 2018, Autom..

[23]  Liqing Wang,et al.  Stabilization and Finite-Time Stabilization of Probabilistic Boolean Control Networks , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[24]  Jinling Liang,et al.  Output regulation of Boolean control networks with stochastic disturbances , 2017 .

[25]  Yang Liu,et al.  Stabilization of evolutionary networked games with length-r information , 2018, Appl. Math. Comput..

[26]  Biao Wang,et al.  Sampled-data controllability and stabilizability of Boolean control networks: Nonuniform sampling , 2018, J. Frankl. Inst..

[27]  Lihua Xie,et al.  Output Regulation of Boolean Control Networks , 2017, IEEE Transactions on Automatic Control.

[28]  Ettore Fornasini,et al.  Output feedback stabilization of Boolean control networks , 2015, Autom..

[29]  Daizhan Cheng,et al.  Block Decoupling of Boolean Control Networks , 2019, IEEE Transactions on Automatic Control.

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

[31]  Haitao Li,et al.  A Control Lyapunov Function Approach to Feedback Stabilization of Logical Control Networks , 2019, SIAM J. Control. Optim..

[32]  Fangfei Li,et al.  On stabilization and set stabilization of multivalued logical systems , 2017, Autom..

[33]  Yang Liu,et al.  Output tracking of probabilistic Boolean networks by output feedback control , 2019, Inf. Sci..

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

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

[36]  Jinde Cao,et al.  On Pinning Controllability of Boolean Control Networks , 2016, IEEE Transactions on Automatic Control.

[37]  Tielong Shen,et al.  Optimal control of Boolean control networks with average cost: A policy iteration approach , 2019, Autom..

[38]  Tielong Shen,et al.  Logical control scheme with real-time statistical learning for residual gas fraction in IC engines , 2017, Science China Information Sciences.