The effectiveness of Model Predictive Control (MPC) for path following systems is well known. However, the commonly used control methods usually do not consider the complex computational complexity of fast dynamic systems, which is one of the main reasons for the resulting overshoot. This technical note considers the optimization problem of the controller, calculates the optimal solution of the control time through the genetic operator, then uses the block method to reduce the control time, and finally provides the optimal error weight matrix to deal with the error transient problem , so that the controller has a shorter calculation time and less error overshoot.
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