A New Method of Calculating the State Feedback Gain Vector of Vibration Control System
Using the random model, the vibration control problem of structures with uncertain parameters is discussed, which is approximated by a deterministic one. The feedback gain matrix is determined based on the deterministic systems, and then it is applied to the actual uncertain systems. A method to calculate the standard deviations for responses of the closed-loop systems with the uncertain parameters is presented by using the random perturbation. This method is applied to a vibration system to illustrate the application. The numerical results show that the present method is effective.
M. Yang et al., "A New Method of Calculating the State Feedback Gain Vector of Vibration Control System", Applied Mechanics and Materials, Vols. 229-231, pp. 424-427, 2012