Uncertainty Modeling of Structural Dynamics for Robust Vibration Control
WANG Feng1;LI Dao-kui2;LEI Yong-jun2
1.Computational Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang 621000, Sichuan
2.College of Aerospace and Material Engineering, National University of Defense Technology, Changsha 410073, Hunan
Abstract:A general synthesis frame for the design of robust controller for structural vibration is developed. Robust control theory of uncertain linear systems is introduced firstly. Uncertainty modeling of structural dynamics is then analyzed. The uncertainties include unmodeled high order dynamics, modal parameter error and modeling error of actuators and sensors. And mathematical model of these uncertainties are formulated properly. Finally, the vibration control problem is brought into the framework of robust control theory, and the stability and performance of the closed system are insured as long as the model errors fall into the prescribed bounds.