%0 Journal Article %@ 14746670 %A Gros, Sébastien %A Zanon, Mario %A Vukov, Milan %A Diehl, Moritz %D 2012 %F eprints:4027 %I Elsevier %J IFAC Proceedings Volumes %K real-time NMPC & MHE; multi-body mechanical systemshigh-index DAE; code generation %N 17 %P 86-93 %T Nonlinear MPC and MHE for Mechanical Multi-Body Systems with Application to Fast Tethered Airplanes %U http://eprints.imtlucca.it/4027/ %V 45 %X Mechanical applications often require a high control frequency to cope with fast dynamics. The control frequency of a nonlinear model predictive controller depends strongly on the symbolic complexity of the equations modeling the system. The symbolic complexity of the model equations for multi-body mechanical systems can often be dramatically reduced by using representations based on non-minimal coordinates, which result in index-3 differential-algebraic equations (DAEs). This paper proposes a general procedure to efficiently treat multi-body mechanical systems in the context of MHE & NMPC using non-minimal coordinate representations, and provides the resulting computational times that can be achieved on a tethered airplane system using code generation. %Z 4th IFAC Nonlinear Model Predictive Control Conference International Federation of Automatic Control Noordwijkerhout, NL. August 23-27, 2012