Incremental control equations for tandem rolling mills

This study illustrates the nature of the multivariable control problem in a particular context. The character of transfer or control equations for multivariable machines and processes is briefly examined. Incremental steady-state transfer equations are developed for a typical multivariable machine, namely, the strip rolling mill. The equations are derived from the theory of plastic deformation in rolling, and the electromechanical equilibrium equations of a mill. A numerical example of these equations for a representative 5-stand mill is given. The results may be used to consider general forms for automatic control systems.