Adaptive Dynamic Matrix Control with Interpolated Parameters

The classical (non-adaptive) Dynamic Matrix Control (DMC) algorithm is designed and tuned for a chosen operating point of the nonlinear plant. Hence, the performance of the control system may be deteriorated in a wide range of operating levels. The paper discusses a possibility of using an adaptive Dynamic Matrix Control (DMC) for a hydraulic nonlinear plant. Depending on the current value of the process variable, the idea is to use linear spline interpolation to calculate the controller parameters that appear in the final form of equation for the control increment. As a result, it is possible to reduce the number of necessary calculations. Numerical simulations of the closed-loop system show that the adaptive DMC algorithm ensures satisfactory performance over a wide range of operating levels in comparison to the classical DMC tuned for a single operating point.