Adaptive control, generalized predictive control, internal model principle, resonant controller
Abstract
Resonant controllers are required in many applications such as power electronics. Many of these controllers are designed considering that the frequency of the sinusoidal reference is fixed. However, that frequency varies in some applications. This work proposes a resonant controller based on generalized predictive control (GPC) which can be used to asymptotically track sinusoidal references whose frequency varies within a small frequency range. The control law is adaptive and depends on the reference frequency. The GPC control gain is defined as the average of the gains, defined through a GPC-based algorithm, for different reference frequencies within a small range. Simulation results show that the steady-state tracking error for the proposed approach tends to zero when the reference frequency is known. A phase-locked loop (PLL) can be used to estimate the reference frequency.
