A model-reduction method for linear, parameter-varying systems based on parameter-varying balanced realizations is proposed for a body freedom flutter vehicle. A high-order linear, parameter-varying model with hundreds of states describes the coupling between the short period and first bending mode with additional structural bending and torsion modes that couple with the rigid body dynamics. However, these high-order state-space models result in a challenging control design, and hence a reduced-order linear, parameter-varying model is desired. The objective is to reduce the model state order across the flight envelope while retaining a common set of states in the linear, parameter-varying model.Areduced-order linear, parameter-varying model with tens of states is obtained by combining classical model reduction and parameter-varying balanced realizations reduction techniques. The resulting reduced-order model captures the unstable dynamics of the vehicle and is well suited for the synthesis of active flutter suppression controllers.
Bibliographical noteFunding Information:
This work is supported by NASA Langley Research Center Small Business Innovation Research contract NNX12CF20P awarded to Systems Technology Inc. Peter Thompson is the Systems Technology Inc. principal investigator, and Walt Silva is the NASA technical monitor. This research is also supported by the NASA Small Business Technology Transfer contract NNXIICI09P as a subcontract from Tao Systems. Arun Mangalam is the principal investigator, and Martin Brenner is the NASA technical monitor. The authors also gratefully acknowledge the financial support from Zonta International through the Amelia Earhart Fellowship awarded in 2012.