The invention discloses a robust non-fragile H-infinity
structural vibration control method. The method comprises the steps that firstly, a
structural dynamics model with a control device is built; 2, an amplitude with structural parameter uncertainty is estimated, and on the basis of the
Lyapunov stability principle, on the premise that stability of a
control system is ensured, an influence on the structural parameter uncertainty in the corrected
structural dynamics model is determined; 3, on the basis of quadratic form optimal performance indexes, a
linear matrix inequality for ensuring the stability of the
control system is solved, the relatively-optimal robust non-fragile H-infinity
control force is obtained and input to an
actuator, and effective
vibration control is achieved for the
solid structure. The
control system is simple in design, performance indexes are easy to balance, and the stability and robustness of the control
system can be effectively ensured on the premise of the structural parameter uncertainty.