Monday 25-Oct-21 |

Extension of Energetic Macroscopic Representation to time-varying systems for paper industry

Contributors

Pierre SICARD (lecturer)

Yvette DJANI WANKAM

Alain BOUSCAYROL

 

Objective

This lecture deals with extension of Energetic Macroscopic Representation (EMR) to model time-varying system. An adaptive control is dedeuced from this new EMR. A double-drive paper system is taken as an example.

 

Outline

Energetic Macroscopic Representation (EMR) was introduced to represent energy systems in a unified way. The result is a structured representation of the system in a succession of layers, containing energy conversion blocks and their corresponding control function counterparts.

An extension of EMR to time-varying systems is proposed, considering modeled and unmodeled parameter variation laws. Two layers are added to the EMR, the first to represent parameter variations and the latter to exploit or identify the parametric model.

The method is applied to a speed and tension control problem in a paper rewinder. To obtain high quality paper rolls, high performance and decoupled speed and tension control must be maintained in presence of parameter variations due to the process and to operating conditions. Predictable parameter variations are compensated by using the parameter model and Recursive Least Squares (RLS) is used to identify unpredictable parameter variations to implement adaptive controllers. The adaptive control law is validated by simulation.

Fig. 1: Studied double-drive paper system


Fig. 2: Principle of extension to EMR to obtain an adaptive control

 

References

A. Leclercq, P. Sicard, A. Bouscayrol, B. Lemaire-Semail,
"Control of a triple drive paper system based on the Energetic Macroscopic Representation",
IEEE-ISIE'04, Ajaccio (France),
May 2004, pp. 889-893.

C. Thiffault, P. Sicard, A. Bouscayrol,
"Tension control loop using a linear actuator based on the Energetic Macroscopic Representation",
IEEE-CCECE'04, Niagara Falls (Canada),
May 2004, vol. 4, pp. 2041-2046.

C. Thiffault, P. Sicard, A. Bouscayrol,
"Desensitization to voltage sags of a rewinder by using an active dancer roll for tension control",
IEEE-IEMDC'05, San Antonio (USA),
May 2005, pp. 466-473.

Y. Djani, P. Sicard, A. Bouscayrol,
"Extension of Energetic Macroscopic Representation to time-varying systems, applications to winder tension control",
IEEE-ISIE'06, Montreal,
Jully 2006.


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