Comment: Discretisation of continuous-time control systems with guaranteed stability

1997 ◽  
Vol 144 (3) ◽  
pp. 277-277
Author(s):  
M. O'Malley ◽  
A. de Paor
2006 ◽  
Vol 39 (9) ◽  
pp. 465-470
Author(s):  
Sergio Galeani ◽  
Simona Onori ◽  
Andrew R. Teel ◽  
Luca Zaccarian

10.29007/8nq6 ◽  
2020 ◽  
Author(s):  
Maximilian Gaukler

Experience Report: Real-Time control systems can be difficult to analyze due to the mixture of discrete-time and continuous-time dynamics. This difficulty is particularly pronounced if the timing is non-periodic, e.g., due to network or execution effects. Still, most control loops behave similar to a purely continuous-time system disturbed by a small discretization error, which is exploited by Bak and Johnson (2015) in the method of Continuization. This paper uncovers limitations of that work and presents an extension, First-Order Continuization, based on a new formal framework that recovers previous results and eases future development.


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