Development of flexible aircraft lateral linear fractional transformation model

The flexible aircraft model is divided into rigid and flexible models, and the parameters uncertainty model is constructed respectively using linear fractional transformation (LFT). A complete model of the aircraft is obtained by adding its rigid and flexible models at the outputs, then it can be transformed into a single LFT, and the aircraft´s dynamics is separated into certainty part and uncertainty part. Finally the H_∞ robust flight control system is designed and simulated using μ-analysis and synthesis toolbox, and the results shows that the LFT model can capture the nonlinear dynamic characteristic of flexible aircraft veritably and the validity of the established models is verified by mathematic simulation.