Analysis of steady-state performance for cross-directional control

Analysis of steady-state performance for cross-directional control

For access to this article, please select a purchase option:

Buy article PDF
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
IEE Proceedings - Control Theory and Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

The authors analyse the steady-state behaviour of a class of cross-directional controllers that are pertinent to general web-forming processes. Their analysis is framed in terms of the controllable space prescribed by the interaction matrix and general discrete orthonormal basis descriptions of both the input and output space under the assumption of closed-loop stability. The specific choice of controller defines (whether explicitly or implicitly) an additional assumed controlled space. It is well known that the controllable space determines a lower bound on output variation. They examine the implications of integral action and provide sufficient conditions for the steady-state output variation to achieve this lower bound. They confirm some intuitive results that connect the optimal constrained and unconstrained steady-state solutions for model-based control with no model mismatch. Model mismatch is usually detrimental to steady-state performance. This effect is interpreted in terms of leakage between the controllable and assumed controlled spaces, as well as their respective orthogonal complements.


    1. 1)
      • S. Levy , J.F. Carley . (1989) Plastics extrusion technology handbook.
    2. 2)
      • G.A. Smook . (1982) Handbook for Pulp and Paper Technologists.
    3. 3)
    4. 4)
    5. 5)
      • Kristinsson, K., Dumont, G.A.: `Paper machine crossdirectional basis weight control using gram polynomials', Proceedings of the 2nd IEEE Conference on Control applications, Vancouver, British Columbia, 1993, p. 235–240.
    6. 6)
      • A. Halouskova , M. Karny , I. Nagy . Adaptive cross-direction control of paper basis weight. Automatica , 2 , 425 - 429
    7. 7)
      • Stewart, G.E.: `Two dimensional loop shaping controller design or paper machine cross-directional processes', 2000, PhD, University of British Columbia.
    8. 8)
      • A.P. Featherstone , J.G. VanAntwerp , R.D. Braatz . (2000) Identification and control of sheet and film processes.
    9. 9)
    10. 10)
      • Duncan, S.R.: `The cross-directional control of web-forming processes', 1989, PhD, University of London.
    11. 11)
      • L. Ljung . (1999) System identification: theory for the user.
    12. 12)
      • Stewart, G.E., Gorinevsky, D.M., Dumont, G.A., Gheorghe, C., Backstrom, J.U.: `The role of model uncertainty in cross directional control systems', Proceedings of Control Systems 2000, 2000, Victoria, BC, p. 337–345.
    13. 13)
      • G.H. Golub , C.F. Van Loan . (1989) Matrix computations.
    14. 14)
      • J.C. Campbell , J.B. Rawlings . Predictive control of sheet and film-forming processes. AIChE J , 8
    15. 15)
      • D.W. Clarke , C. Mohtadi , P.S. Tuffs . Generalized predictive control, parts 1 and 2. Automatica , 2 , 137 - 148
    16. 16)
      • K.R. Muske , J.B. Rawlings . Model predictive control with linear models. AIChE J , 2 , 262 - 287

Related content

This is a required field
Please enter a valid email address