Sampled-data Extremum Seeking with Constant Delay: A Time-delay Approach

Author(s):  
Yang Zhu ◽  
Emilia Fridman ◽  
Tiago Roux Oliveira
2021 ◽  
Vol 157 ◽  
pp. 105048
Author(s):  
Xueliang Liu ◽  
Wei Lin ◽  
Congran Zhao ◽  
Yaohua Hu

2008 ◽  
Vol 41 (2) ◽  
pp. 8660-8665 ◽  
Author(s):  
Bernhard P. Lampe ◽  
Efim N. Rosenwasser

1992 ◽  
Vol 114 (4) ◽  
pp. 538-543 ◽  
Author(s):  
Tongwen Chen ◽  
Bruce A. Francis

This paper considers sampled-data control of time-delay systems. First we show that under a certain nonpathological sampling condition, a sampled-data system is internally stable in continuous time if and only if the corresponding discretized system is stable in discrete time. Based on this, we then study two sampled-data design problems for (unstable) time-delay systems: ℋ2-optimal disturbance attenuation and robust stabilization. In both cases, the sampled-data problem can be recast via operator methods as exactly a discrete-time problem and hence be solved using known techniques.


Automatica ◽  
2013 ◽  
Vol 49 (9) ◽  
pp. 2720-2733 ◽  
Author(s):  
Sei Zhen Khong ◽  
Dragan Nešić ◽  
Ying Tan ◽  
Chris Manzie

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