Meaning
Recursive mathematical algorithms that estimate the state of a non-linear dynamic system from a series of noisy measurements provide the foundation for advanced process control. An extended Kalman filter linearizes the current mean and covariance around the most recent state estimate using a Jacobian matrix. This approach allows a controller to track variables that cannot be measured directly, such as the internal melt temperature deep within a thick-walled section during cooling.
Estimation Logic
Prediction and correction cycles form the basis of the internal calculation. The extended Kalman filter first projects the state forward in time using a physical model of the moulding process. It then adjusts this prediction based on actual feedback from pressure transducers or thermocouples to minimize the mean squared error.
Signal Resolution
High-frequency noise from sensors often obscures the underlying trend of a process variable. By weighing the model prediction against the sensor data, the filter produces a smoothed output that is more reliable than the raw signal. This filtered data allows the machine to maintain a steady hold pressure even when the electrical environment is prone to interference.
Process Stability
Implementing this estimation technique reduces the impact of sensor lag on the feedback loop. Because the extended Kalman filter anticipates the next state based on the previous trajectory, it can compensate for the time it takes for a thermal change to reach a probe. Better control over the cooling phase leads to more consistent crystallinity and reduced internal stress in the final part.