Cross Directional Control of Web Forming Processes - Robustness

Summary

This is the 3rd laboratory in a series of (virtual) laboratories devoted to Web forming processes.

This virtual laboratory focuses on the issue of robustness. Robustness is a major issue in all control system designs and is a key factor in Cross Direction Control.

Figure 14.1: Screenshot of Program
Figure 14.1: Screenshot of Program

The Physical Apparatus

Simple control system design procedures are based on a nominal model of the system. If this model is an accurate representation of the system, then the control loop will perform essentially as per the design. However, real world systems are typically very complicated and their dynamics can, at best, be approximated by a nominal model. Moreover, the true system can change with operating conditions or due to long term effects e.g. wear. This phenomenon is particularly true of cross directional control problems. Indeed, many of the nominal control systems designed in Part I and II of this set of Virtual Laboratories would not work in practice due to robustness issues. Hence this is a major issue here.

For a general description of Cross Directional Control Systems , see Laboratory 12.

Part C of this Virtual Lab will focus on the issue of robustness. This is a major issue in all control system designs and is a key factor in Cross Direction Control.

Prerequisites

The background knowledge that students are assumed to have for this part of the laboratory includes:

  • Elementary MIMO control theory
  • Matrix analysis especially singular value decomposition
  • Frequency domain robustness analysis

Learning Objectives

The learning objectives of this laboratory are:

  • MIMO control
  • Frequency domain robustness