Nonlinear trajectory transcriptions for aircraft loss of control recovery

Aircraft loss of control may occur when the interpolated gain set is such that it destabilizes the linear aircraft. That is, when linear aircraft is not asymptotically stable, the nonlinear aircraft loss of control occurs. Even in cases where interpolation stabilizes the linear aircraft, loss of control may also occur when the gains are not reconfigured within the stability region associated with the controller. Hence, understanding nonlinear aircraft navigation and control algorithms using such controllers that originate from various linear design methods becomes a challenging problem. It prompts to simulate the nonlinear aircraft trajectories within the distorted stability regions of the linear controllers interpolated when each one of them is designed to regulate an equilibrium (or trim) point. In this article, the gain interpolation parameter that would lead to loss of control is presented. Then, techniques to avert the loss of control using nonlinear trajectory transcriptions are presented. A 3-degree-of-freedom aircraft model of Langelaan is considered for illustrations.

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