Virtual constraints are relations imposed on a control system which insure invariance via feedback control, as opposed to physical constraints acting on the system. In this work, we …
This paper studies virtual constraints on Lie groups. Virtual constraints are invariant relations imposed on a control system via feedback. In this work, we introduce the notion of\textit …
Nonholonomic systems are, so to speak, mechanical systems with a prescribed restriction on the velocities. A virtual nonholonomic constraint is a controlled invariant distribution …
In this paper, we give sufficient conditions for and deduce a control law under which a mechanical control system converges exponentially fast to a virtual linear nonholonomic …