scholarly journals KYP lemma based stability and control law design for differential linear repetitive processes with applications

2013 ◽  
Vol 62 (7) ◽  
pp. 560-566 ◽  
Author(s):  
Wojciech Paszke ◽  
Eric Rogers ◽  
Krzysztof Gałkowski
Keyword(s):  
Control Law ◽  
Repetitive Processes ◽  
Linear Repetitive Processes ◽  
Stability And Control ◽  
Kyp Lemma ◽  
And Control

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.

scholarly journals On controllability and control laws for discrete linear repetitive processes

2009 ◽  
Vol 83 (1) ◽  
pp. 66-73 ◽  
Author(s):  
L. Hladowski ◽  
K. Galkowski ◽  
E. Rogers ◽  
D.H. Owens
Keyword(s):  
Control Laws ◽  
Repetitive Processes ◽  
Linear Repetitive Processes ◽  
And Control

scholarly journals On the Development of SCILAB Compatible Software for the Analysis and Control of Repetitive Processes

2008 ◽  
Vol 18 (3) ◽  
pp. 377-387
Author(s):  
Łukasz Hładowski ◽  
Błażej Cichy ◽  
Krzysztof Gałkowski ◽  
Eric Rogers
Keyword(s):  
Software Package ◽  
Reference Signal ◽  
Control Law ◽  
Simulation Tool ◽  
Repetitive Processes ◽  
The Core ◽  
Input Design ◽  
And Control

On the Development of SCILAB Compatible Software for the Analysis and Control of Repetitive ProcessesIn this paper further results on the development of a Scilab compatible software package for the analysis and control of repetitive processes is described. The core of the package consists of a simulation tool which enables the user to inspect the response of a given example to an input, design a control law for stability and/or performance, and also simulate the response of a controlled process to a specified reference signal.

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