scholarly journals Robust control of uncertain differential linear repetitive processes

2008 ◽  
Vol 57 (5) ◽  
pp. 425-435 ◽  
Author(s):  
Ligang Wu ◽  
Zidong Wang
Keyword(s):  
Robust Control ◽  
Repetitive Processes ◽  
Linear Repetitive Processes

Robust control of distributed parameter mechanical systems using a multidimensional systems approach

2010 ◽  
Vol 58 (1) ◽  
pp. 67-75 ◽  
Author(s):  
B. Cichy ◽  
P. Augusta ◽  
E. Rogers ◽  
K. Gałkowski ◽  
Z. Hurák
Keyword(s):  
Robust Control ◽  
Systems Approach ◽  
Mechanical Systems ◽  
Multidimensional Systems ◽  
Model Description ◽  
Distributed Parameter ◽  
Control Laws ◽  
Repetitive Processes ◽  
Linear Repetitive Processes ◽  
Forcing Function

Robust control of distributed parameter mechanical systems using a multidimensional systems approach The unique characteristic of a repetitive processes is a series of sweeps, termed passes, through a set of dynamics defined over a finite duration. On each pass an output, termed the pass profile is produced which acts as on forcing function, and hence contributes to, the dynamics of the next pass profile. This leads to the possibility that the output, i.e. the sequence of pass profiles, will contain oscillations that increase in amplitude in the pass-to-pass direction. Such behavior cannot be controlled by application of standard linear systems control laws and instead they must be treated as two-dimensional (2D) systems where information propagation in two independent directions, termed pass-to-pass and along the pass respectively, is the defining feature. Physical examples of such processes include long-wall coal cutting and metal rolling. In this paper, stability analysis and control law design algorithms are developed for discrete linear repetitive processes where a plane, or rectangle, of information is propagated in the pass-to-pass direction. The possible use of such a model in the control of distributed parameter systems has been investigated in previous work and this paper considers an extension to allow for uncertainty in the model description.

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 Multi-machine operations modelled and controlled as switched linear repetitive processes

2008 ◽  
Vol 81 (10) ◽  
pp. 1549-1567 ◽  
Author(s):  
Jacek Bochniak ◽  
Krzysztof Galkowski ◽  
Eric Rogers
Keyword(s):  
Repetitive Processes ◽  
Linear Repetitive Processes
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