scholarly journals LMI based stability and stabilization of second-order linear repetitive processes

2010 ◽  
Vol 12 (2) ◽  
pp. 136-145 ◽  
Author(s):  
Pawel Dabkowski ◽  
Krzysztof Gałkowski ◽  
Biswa Datta ◽  
Eric Rogers
Keyword(s):  
Second Order ◽  
Repetitive Processes ◽  
Order Linear ◽  
Linear Repetitive Processes ◽  
Stability And Stabilization

scholarly journals New relaxed stability and stabilization conditions for differential linear repetitive processes

2020 ◽  
Vol 53 (2) ◽  
pp. 1462-1467
Author(s):  
Robert Maniarski ◽  
Wojciech Paszke ◽  
Eric Rogers ◽  
Marcin Boski
Keyword(s):  
Repetitive Processes ◽  
Linear Repetitive Processes ◽  
Stability And Stabilization

scholarly journals Strong practical stability and stabilization of differential linear repetitive processes

2010 ◽  
Vol 59 (10) ◽  
pp. 639-644 ◽  
Author(s):  
Pawel Dabkowski ◽  
Krzysztof Galkowski ◽  
Eric Rogers ◽  
Olivier Bachelier
Keyword(s):  
Practical Stability ◽  
Repetitive Processes ◽  
Linear Repetitive Processes ◽  
Stability And Stabilization

scholarly journals New relaxed stability and stabilization conditions for both discrete and differential linear repetitive processes

2021 ◽  
Author(s):  
Marcin Boski ◽  
Robert Maniarski ◽  
Wojciech Paszke ◽  
Eric Rogers
Keyword(s):  
Iterative Learning Control ◽  
Experimental Validation ◽  
Linear Matrix ◽  
Control Law ◽  
2D Systems ◽  
Matrix Inequalities ◽  
Repetitive Processes ◽  
Numerical Examples ◽  
Linear Repetitive Processes ◽  
Stability And Stabilization

AbstractThe paper develops new results on stability analysis and stabilization of linear repetitive processes. Repetitive processes are a distinct subclass of two-dimensional (2D) systems, whose origins are in the modeling for control of mining and metal rolling operations. The reported systems theory for them has been applied in other areas such iterative learning control, where, uniquely among 2D systems based designs, experimental validation results have been reported. This paper uses a version of the Kalman–Yakubovich–Popov Lemma to develop new less conservative conditions for stability in terms of linear matrix inequalities, with an extension to control law design. Differential and discrete dynamics are analysed in an unified manner, and supporting numerical examples are given.

Strong practical stability and stabilization of uncertain discrete linear repetitive processes

2011 ◽  
Vol 20 (2) ◽  
pp. 220-233 ◽  
Author(s):  
Pawel Dabkowski ◽  
Krzysztof Galkowski ◽  
Olivier Bachelier ◽  
Eric Rogers ◽  
Anton Kummert ◽  
...  
Keyword(s):  
Practical Stability ◽  
Repetitive Processes ◽  
Linear Repetitive Processes ◽  
Stability And Stabilization
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