Title
Dynamic virtual holonomic constraints for stabilization of closed orbits in underactuated mechanical systems.
Abstract
This article investigates the problem of enforcing a virtual holonomic constraint (VHC) on a mechanical system with degree of underactuation one while simultaneously stabilizing a closed orbit on the constraint manifold. This problem, which to date is open, arises when designing controllers to induce complex repetitive motions in robots. In this paper, we propose a solution which relies on the parameterization of the VHC by the output of a double integrator. While the original control inputs are used to enforce the VHC, the control input of the double-integrator is designed to asymptotically stabilize the closed orbit and make the state of the double-integrator converge to zero. The proposed design is applied to the problem of making a PVTOL aircraft follow a circle on the vertical plane with a desired speed profile, while guaranteeing that the aircraft does not roll over for suitable initial conditions.
Year
DOI
Venue
2018
10.1016/j.automatica.2018.04.023
Automatica
Keywords
Field
DocType
Dynamic virtual holonomic constraints,Underactuated mechanical systems,Orbital stabilization
Topology,Holonomic constraints,Parametrization,Double integrator,Vertical plane,Underactuation,Robot,Mechanical system,Mathematics,Manifold
Journal
Volume
Issue
ISSN
94
94
0005-1098
Citations 
PageRank 
References 
6
0.46
15
Authors
3
Name
Order
Citations
PageRank
Alireza Mohammadi1142.78
Manfredi Maggiore274364.79
Luca Consolini327631.16