Repetitive Process Control Theory Applied to the Modeling and Control of Ladder Circuits

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Abstract

Repetitive processes propagate information in two separate directions, one of which is temporal and the other can be spatial. A repetitive process makes a series of sweeps, or passes, through a set of dynamics over this finite duration and when each is complete the process resets. Moreover, the output produced on the previous pass explicitly contributes to the dynamics produced on the next one. Hence they can also be viewed as a class of periodic systems. They also pose control problems that cannot be solved by standard systems control theory and design algorithms. This paper gives new results on the application of the repetitive process control theory to the analysis of ladder networks.

Keywords

Spatio-temporal dynamics
stability
control law design

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This work was supported in part by National Science Centre in Poland, grant No. 2011/01/B/ST7/00475.

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