Introduction to time-delay and sampled-data systems

Author(s):  
Emilia Fridman
Keyword(s):  
2020 ◽  
Vol 374 ◽  
pp. 125041 ◽  
Author(s):  
Hong-Bing Zeng ◽  
Zheng-Liang Zhai ◽  
Yong He ◽  
Kok-Lay Teo ◽  
Wei Wang
Keyword(s):  

2008 ◽  
Vol 2008 ◽  
pp. 1-15 ◽  
Author(s):  
F. Ricardo García ◽  
Baltazar Aguirre ◽  
Rodolfo Suárez

We consider one-dimensional, time-invariant sampled-data linear systems with constant feedback gain, an arbitrary fixed time delay, which is a multiple of the sampling period and a zero-order hold for reconstructing the sampled signal of the system in the feedback control. We obtain sufficient conditions on the coefficients of the characteristic polynomial associated with the system. We get these conditions by finding both lower and upper bounds on the coefficients. These conditions let us give both an estimation of the maximum value of the sampling period and an interval on the controller gain that guarantees the stabilization of the system.


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