The invention discloses a multi-scale approximate
explicit model predictive control method for a three-degree-of-freedom helicopter. The multi-scale approximate
explicit model predictive control method comprises the following steps that step (1), modeling is carried out on the three-degree-of-freedom helicopter to obtain a parameter
optimization problem, namely an object to be approximated below;step (2), a piecewise linear
insertion method is carried out to initially obtain an approximate control law; step (3), self-adaptive separation
function approximation is carried out, and the form of the approximate control law is transformed; step (4), a barycenter function is introduced, and barycenter interpolation is utilized to obtain an approximate control law based on the barycenter function; and step (5), multi-scale approximate
explicit model predictive control over a three-degree-of-freedom helicopter
system is carried out. According to the multi-scale approximate explicit
model predictive control method, the real-time performance of the three-degree-of-freedom helicopter
control system is improved, the
control complexity is reduced, the storage capacity requirement of a controller is reduced, the online calculation time is saved, and a
good control effect is achieved.