Modeling closed kinematic chains via singular perturbations

J.B. Dabney, F.H. Ghorbel, Zhiyong Wang
2002 Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)  
Abstmct- Closed kinematic chains (CKC) are constrained multibody systems the dynamics of which are characterized by differential-algebraic equations. In this paper we present a novel approach to modeling CKC that supports model-based control. The approach is based on a singular perturbation formulation with attractive properties including (i) the number of slow second-order differential equations is the same as the number of degrees of freedom of the system, (ii) the domain of definition of the
more » ... singularly perturbed system is the entire singularity-free workspace of the CKC. We illustrate the effectiveness of our approach by simulating the dynamics of the parallel Rice Planar Delta Robot.
doi:10.1109/acc.2002.1024573 fatcat:zer5kz6dtrcjtcgnvtngbxaz5u