Gradient optimization-based optimal energy consumption control method for symmetric vibration structure

The invention discloses an optimal energy consumption control method for a symmetric vibration structure based on gradient optimization, and the method comprises the steps: calculating a feature polynomial of an open-loop vibration system model for a system model of the symmetric vibration structure, and solving a part of to-be-configured feature structures of the vibration system model; designing an active feedback controller with time delay, selecting an expected feature structure, and establishing a closed-loop system feature equation set based on a part of feature structure configuration problem; constructing an explicit solution on the basis of the solvable sufficient and necessary conditions of the partial feature structure configuration problem and the orthogonal relation of the symmetric vibration system; based on the closed-loop system feature equation set, determining an expected feature vector by using a singular value decomposition method, and determining a parameter matrix of the explicit solutio