Finite-Time Model Predictive Stabilization of DC Electrical Power Systems Feeding CPLs in More Electric Aircraft

The single-bus dc electrical power system is a promising architecture for more electric aircraft. However, the high penetration of the constant power loads (CPLs) will seriously threaten the system stability. To this end, in this article, a novel model predictive control (MPC) is proposed to eliminate the destabilizing effects of CPLs and optimize the transient performance of the electrical power systems over a wide operating range. First, a state coordinate system is introduced to obtain a canonical form model, and the newly defined output state is disturbed by load power and system uncertainties. Then, the finite-time disturbance observers are utilized to estimate the dynamic load power and system uncertainties. Second, the estimated values are integrated into MPC to regulate the output state to its reference value. By solving the optimization problem offline, a continuous-time MPC scheme is obtained explicitly. Besides, different from the existing MPC schemes that make system states converge to equilibrium points in infinite time, the concept of reference trajectory in the discrete-time MPC schemes is introduced into the continuous-time MPC framework for the first time, and a new second-order reference trajectory with terminal attractor is proposed, yields a finite-time MPC law. Finally, the effectiveness of the proposed MPC scheme is verified by experimental tests.