Time-optimal state feedback stabilization of switched Boolean control networks

2017 ◽  
Vol 237 ◽  
pp. 265-271 ◽  
Author(s):  
Yong Ding ◽  
Yuqian Guo ◽  
Yongfang Xie ◽  
Chunhua Yang ◽  
Weihua Gui
Keyword(s):  
State Feedback ◽  
Feedback Stabilization ◽  
Control Networks ◽  
Optimal State ◽  
Time Optimal ◽  
Optimal State Feedback

scholarly journals Fuzzy Swing Up Control and Optimal State Feedback Stabilization for Self-Erecting Inverted Pendulum

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 6496-6504 ◽  
Author(s):  
Erwin Susanto ◽  
Agung Surya Wibowo ◽  
Elvandry Ghiffary Rachman
Keyword(s):  
State Feedback ◽  
Inverted Pendulum ◽  
Feedback Stabilization ◽  
Optimal State ◽  
Optimal State Feedback

scholarly journals Optimal State Feedback Control of Container Crane Using RCGA Technique

2007 ◽  
Vol 31 (3) ◽  
pp. 247-252
Author(s):  
Yun-Hyung Lee ◽  
Heui-Han Yoo ◽  
Kwon-Hae Cho ◽  
Myung-Ok So
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
State Feedback Control ◽  
Optimal State ◽  
Container Crane ◽  
Optimal State Feedback

Sampled-Data State Feedback Stabilization of Boolean Control Networks

2016 ◽  
Vol 28 (4) ◽  
pp. 778-799 ◽  
Author(s):  
Yang Liu ◽  
Jinde Cao ◽  
Liangjie Sun ◽  
Jianquan Lu
Keyword(s):  
State Feedback ◽  
Sufficient Conditions ◽  
Feedback Stabilization ◽  
Necessary And Sufficient Conditions ◽  
State Feedback Control ◽  
Global Stabilization ◽  
Sampled Data ◽  
Control Networks ◽  
Piecewise Constant Control ◽  
Necessary And Sufficient

In this letter, we investigate the sampled-data state feedback control (SDSFC) problem of Boolean control networks (BCNs). Some necessary and sufficient conditions are obtained for the global stabilization of BCNs by SDSFC. Different from conventional state feedback controls, new phenomena observed the study of SDSFC. Based on the controllability matrix, we derive some necessary and sufficient conditions under which the trajectories of BCNs can be stabilized to a fixed point by piecewise constant control (PCC). It is proved that the global stabilization of BCNs under SDSFC is equivalent to that by PCC. Moreover, algorithms are given to construct the sampled-data state feedback controllers. Numerical examples are given to illustrate the efficiency of the obtained results.

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