# Interaction in Decentralized Control Systems: Application to Roll-to-Roll Systems

> A procedure to analyze interaction in an experimental roll-to-roll system that uses a decentralized control strategy is presented in this paper. A Perron root based interaction metric is employed for the analysis. Experiments conducted on a roll-to-roll system are used to evaluate the interaction between different subsystems of the roll-to-roll system. To minimize interaction between subsystems of the roll-to-roll system, a procedure for designing pre-filters based on the Perron root of the system is also discussed in the paper. Experimental results with and without pre-filter clearly indicate the effectiveness of the pre-filter in minimizing interaction. Discussions regarding the roll-to-roll application, stability considerations and insights on using the Perron root based interaction measure for decentralized control applications are also given.

**Last updated:** 2017-08-31

**Source:** https://live-roll2roll.pantheonsite.io/articles/interaction-decentralized-control-systems-application-roll-roll-systems

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### Authors

 Aravind Seshadri, Pramod R Raul, Prabhakar R Pagilla

### Publication Information

 Conference: ASME 2012 5th Annual Dynamic Systems and Control Conference joint with the JSME 2012 11th Motion and Vibration Conference
 October 1, 2012, Pages 459-466

### Abstract

 A procedure to analyze interaction in an experimental roll-to-roll system that uses a decentralized control strategy is presented in this paper. A Perron root based interaction metric is employed for the analysis. Experiments conducted on a roll-to-roll system are used to evaluate the interaction between different subsystems of the roll-to-roll system. To minimize interaction between subsystems of the roll-to-roll system, a procedure for designing pre-filters based on the Perron root of the system is also discussed in the paper. Experimental results with and without pre-filter clearly indicate the effectiveness of the pre-filter in minimizing interaction. Discussions regarding the roll-to-roll application, stability considerations and insights on using the Perron root based interaction measure for decentralized control applications are also given.

[Link to the Article](http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1739142)

**Tags:** Perron root, Perron-Frobenius theory, roll-to-roll, interaction analysis, decentralized control

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