Singular perturbation model-based method for cooperatively controlling shape and thickness of hot rolled sheet
A singular perturbation and cooperative control technology, applied in the direction of adaptive control, general control system, control/adjustment system, etc., can solve the problem of low precision of plate thickness control, achieve strong real-time performance, small steady-state error, and fast response fast effect
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[0039] The specific implementation process of the present invention for the coordinated control of the shape and thickness of the hot-rolled thin plate is as follows:
[0040] Step 1: Discrete singular perturbation modeling and shape and thickness collaborative controller design for the hot-rolled sheet rolling process
[0041] The four-roll bending hot rolling mill is selected as the controlled object, and the discrete singular perturbation model is established as in formula (1), and the control law (3) is designed, and the controller gain is obtained through theorem 1. The parameters of the controlled system are shown in Table 1.
[0042] Table 1 Parameter list of the controlled system
[0043]
[0044] Let the initial value x(0)=[0.2 0.01 01×8]T, ε=0.1, carry out the simulation, the response curve of the closed-loop system is as follows figure 1 and 2 and control input responses such as image 3 .Simulation results show that the control method can achieve cooperative...
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