An Improved Model-free Adaptive Control Algorithm With Differential Element

The Model-Free Adaptive Control (MFAC) of discrete nonlinear systems with unknown structures and orders is researched in this research. We propose a novel model-free adaptive control method with a differential element (DE-MFAC) to reduce the massive overshoot and mean error. We integrate the differential element into the novel MFAC control law to narrow the estimation error between the equivalent dynamical linearization model and the real system, and consequently, diminish the overshoot during the control process. We carry out numerical simulations to test our approach, where we assess the performance of our approach under varieties of parameter settings. We demonstrate that the designed approach can significantly reduce overshoot and mean error during the control compared with classical MFAC method.