Numerical Integration of Underactuated Mechanical Systems Subjected to Mixed Holonomic and Servo Constraints
A new index reduction approach is developed for the inverse dynamics simulation of underactuated mechanical systems. The underlying equations of motion contain both holonomic and servo constraints. The proposed method is applied to a very general and versatile formulation of cranes. The numerical results demonstrate the functional efficiency of the method.
KeywordsUnderactuated mechanical systems Feedforward control Inverse dynamics Differentially flat systems
The second author was supported by the ERC Advanced Grant ‘Modeling, Simulation and Control of Multi-Physics Systems’ MODSIMCONMP. The third author was supported by the Deutsche Forschungsgemeinschaft (DFG) under Grant BE 2285/12-1. This support is gratefully acknowledged.
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