Active vibration control strategy based on linear matrix inequality for rotor system

A state space model was developed for a rotor system.Under external disturbance,such as unbalance excitation,H2 and H∞ controls were formulated separately by means of linear matrix inequality(LMI),and both objectives were combined as a mixed control problem to attenuate the transient vibration of the rotor system and make it have robust performance.With a cantilever rotor system as example,the performances of the rotor system in both frequency and time domains were analyzed to verify the feasibility and validity of the mixed H2/H∞ control strategy in active vibration control for rotor system.Mixed H2/H∞ control strategy can effectively suppress the transient vibration of the rotor system and maintain good robust performance,so the performances of the rotor system in both frequency and time domains are improved.