Adaptive identification and model tracking by a flexible spacecraft

A rigid-flexible spacecraft structure subject to bounded uncertainty in structural parameters and payload, with large articulation angles, is modelled by a hybrid multidimensional system with high (untruncated) geometric nonlinearity and Coriolis forces. It is to be controlled adaptively to track a rigid body reference model with desired dynamics. To this aim the system is replaced by a nonlinear adaptive, state and parameter identifier with considerably reduced number of DOF and made exactly integrable, i.e. with solutions in closed form. The technique used is that of nonlinear extension to MRAC introduced by the author a few years ago. The results lie in obtaining feedback signal adaptive controller in analytic form and exactly integrable adaptive laws, both the controller and the laws based on the state information supplied by the identifier, thus robust to uncertainty.

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