scholarly journals Global stabilization for ball-and-beam systems via state and partial state feedback

2015 ◽  
Vol 12 (1) ◽  
pp. 17-29 ◽  
Author(s):  
Huawen Ye ◽  
Honglei Xu
2021 ◽  
Author(s):  
Qi Li ◽  
Jinyuan Wei ◽  
Xueping Wang ◽  
Qiuxiong Gou ◽  
Zhiqi Niu

2016 ◽  
Vol 28 (4) ◽  
pp. 778-799 ◽  
Author(s):  
Yang Liu ◽  
Jinde Cao ◽  
Liangjie Sun ◽  
Jianquan Lu

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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