Two-Timescale-Integration Method for Inverse Simulation

The integrationmethodis extensivelyappliedin the inverse simulationofaircraftmotionwhere control inputsare determined once a maneuver or  ight task is assigned. In many circumstances the presence of multiple timescales and right half-plane transmission zeros in aircraft dynamics introduces problems of accuracy and stability in the numerical algorithm. This paper presents a formulation for inverse simulation problems where the concept of timescale separation ismerged into an integration technique and a constrained optimizationmethod. Two subscale problems are solved separately for the slow and fast timescales and a numerical algorithm is devised that presents signiŽ cant advantages in terms of numerical efŽ ciency and robustness. The technique accounts for the issue of control saturation and lends itself to applications where the aircraft trajectory is given as a function of time. The results of the study show the improved performances of the technique in comparison with an integration method that is based on the local optimization concept.

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