Hybrid 2D Tracking Control Method for Injection Molding Process Based on Time-varying Delay and Disturbance
A technology of time-varying time-delay and tracking control, which is applied in the direction of adaptive control, general control system, control/regulation system, etc., and can solve problems such as system performance degradation and instability
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Embodiment 1
[0101] Such as figure 1 As shown, a hybrid 2D tracking control method for injection molding process based on time-varying delay and disturbance, including the following steps:
[0102] Step 1: Establish a state-space model of an equivalent 2D switched discrete system:
[0103] 1.1 The injection molding process is represented by a typical multi-stage batch process, and the model is expressed by formula (1):
[0104]
[0105] Among them, k and t respectively represent the batch of the injection molding process and the running time in the batch, x(t,k), y(t,k), u(t,k) respectively represent the k batch t The system state, system output and system input at any time; d(t) represents the state delay along the direction of time t; ρ(t,k)∈{1,2,…,q} represents the switching signal, and q represents the injection process every The total number of stages in a batch, x 0,k is the initial state of the kth duty cycle, ω ρ(t,k) (t,k) is an unknown external disturbance;
[0106] The i...
Embodiment 2
[0194] The mathematical model of the injection section and the pressure-holding section in the injection molding process is as follows:
[0195] Mathematical model of injection section:
[0196] Mathematical model of pressure-holding section:
[0197] Among them, IV stands for injection speed, NP stands for cavity pressure, VO stands for valve opening;
[0198] Given the following definitions:
[0199]
[0200]
[0201]
[0202]
[0203] Among them, IV(t,k), NP(t,k), and VO(t,k) represent the injection speed, cavity pressure and valve opening of batch k at time t, respectively;
[0204] Establish the state space model of injection speed and packing pressure in the injection molding process:
[0205] State-space model of injection velocity:
[0206]
[0207] State-space model of packing pressure:
[0208]
[0209] Among them, δ(t,k+1)∈[0,1] defines the injection section as stage 1, and the pressure-holding section as stage 2; the disturbance of the sy...
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