Synthesis of virtual holonomic constraints for obtaining stable constraint dynamics. (July 2018)

• Record Type: Journal Article
• Authors: Costalunga, Alessandro; Consolini, Luca
• Is Part Of: Automatica. Volume 93(2018)
• Page Start: 262
• Page End: 273
• Publication Date: 2018-07
• Subjects: Mechanical systems -- Control of constrained systems -- Underactuated systems; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2018.03.030
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: A virtual holonomic constraint (VHC) is a relation among the generalized coordinates of a mechanical system that can be made invariant via feedback control. The autonomous dynamics of the system resulting on the enforcement of the VHC are called the constraint dynamics. This work presents a method for the synthesis of VHCs that guarantees the existence of an asymptotically stable limit cycle on the constraint dynamics.