Research on Optimal Damping Control of Reduced Model for Higher Dimension System with Sustained Disturbances

The optimal damping control design for higher dimension system subject to sustained disturbances is considered. A control method based on aggregation strategy and feedforward and feedback optimal control is proposed. Firstly, the internal balance transform is used. Secondly, the transform is obtained by solving a Riccati equation. Then the final reduced model is obtained by aggregation method. The feedforward and feedback optimal control is presented for reduced model, and the optimal damping control law is determined. This method not only remains the feature of original system and the control property, but also solves the difficult of selecting the matrices Q,R and the difficult of using the feedforward and feedback optimal control directly. The simulation for a self-rotating single channel aerial vehicle model is presented to examine the effectiveness of the proposed design method.