机械电子工程轧机模型英文文献和参考 Abstract—The tandem rolling of metal is a complex
engineering process whose optimization represents a challenging
control problem. The current technology relies on complex
nonlinear models that are used to develop control strategies to
address the various control problems encountered. Such models
however, necessitate extensive computational requirements for
simulation. Also, in various instances, access to the detailed
models may be unavailable, or computational capability may be
limited, yet it is desired to obtain some rough indication of
performance of specific control systems when coupled to the mill.
Thus the need arises for a simplified model (which can be easily
implemented on a PC) for testing of control concepts. This paper
fulfills such a need by providing a simple linearized model of the
mill. An example of the usefulness of the model is presented by
coupling to a linear quadratic optimal controller with a simple
method to mitigate disturbances in incoming metal thickness.
Satisfactory results are demonstrated by a simulation.
Keywords—rolling mill model; linear quadratic optimal
controller;
SYMBOLOGY
i subscript, stand number
0 subscript, operating point
t time (seconds)
P specific roll force
Ho annealed thickness
hin stand input thickness
hout stand output thickness
u coefficient of friction
k yield stress
σ tension stress
σin stand input tension stress
σout stand output tension strees
G work roll torque
f forward slip fraction
b backward slip fraction
Vin input strip velocity
Vout output strip velocity
V work roll linear velocity
S roll gap actuator position
Mm specific mill modulus 3650