Optimum Feedback Controller Design for Tandem Cold Metal Rolling

Abstract Controlling the tandem cold rolling of metal strip is a significant challenge to the control engineer. This is due mostly to complex interactions between the process variables, nonlinearities that change with process conditions, and long speed-dependent time delays. The present technology is limited in its capability for improvement in performance. This paper describes a new control strategy that is based on solving a state-dependent algebraic Riccati equation pointwise to establish a control law for a MIMO controller that is augmented by appropriate trimming functions. Simulation testing showed that the tolerance in mill exit thickness compares favorably to the tolerances using existing techniques.

[1]  Vladimir B. Ginzburg,et al.  High-Quality Steel Rolling: Theory and Practice , 1993 .

[2]  William L. Roberts Flat processing of steel , 1987 .

[3]  Eric John Muir Geddes Tandem cold rolling and robust multivariable control , 1998 .

[4]  S. Kahne,et al.  Optimal control: An introduction to the theory and ITs applications , 1967, IEEE Transactions on Automatic Control.

[5]  Roberts,et al.  Cold Rolling of Steel , 1978 .

[6]  J. Pittner,et al.  State-dependent Riccati equation approach for optimal control of a tandem cold metal rolling process , 2006, IEEE Transactions on Industry Applications.

[7]  Evrin Bilge Erdem Analysis and Real-Time Implementation of State -Dependent Riccati Equation Controlled Systems , 2001 .

[8]  J. R. Cloutier,et al.  The capabilities and art of state-dependent Riccati equation-based design , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[9]  Hidenori Kimura,et al.  Observer-based multivariable control of the aluminum cold tandem mill , 1988, Autom..

[10]  M.A. Simaan,et al.  Pointwise linear quadratic optimal control of a tandem cold rolling mill , 2004, Conference Record of the 2004 IEEE Industry Applications Conference, 2004. 39th IAS Annual Meeting..

[11]  M.A. Simaan,et al.  A Novel Approach for Optimal Control of Continuous Tandem Cold Metal Rolling , 2007, 2007 IEEE Industry Applications Annual Meeting.

[12]  Kunio Sekiguchi,et al.  Advanced set-up and control system for Dofasco's tandem cold mill , 1994, Proceedings of 1994 IEEE Industry Applications Society Annual Meeting.

[13]  Zhang Xianda Analysis and real-time implementation of A-P combined processing algorithm , 2002 .

[14]  Ian Postlethwaite,et al.  Improvements in product quality in tandem cold rolling using robust multivariable control , 1998, IEEE Trans. Control. Syst. Technol..

[15]  T. Tezuka,et al.  Application of a new automatic gauge control system for the tandem cold mill , 2001, Conference Record of the 2001 IEEE Industry Applications Conference. 36th IAS Annual Meeting (Cat. No.01CH37248).

[16]  Greyham Frank Bryant Automation of tandem mills , 1973 .