On the geometry of virtual nonlinear nonholonomic constraints

E Stratoglou, AA Simoes, A Bloch… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Virtual constraints are relations imposed on a control system that become invariant via
feedback control, as opposed to physical constraints acting on the system. Nonholonomic …

Virtual constraints on Riemannian homogeneous spaces

E Stratoglou, AA Simoes, A Bloch, L Colombo - IFAC-PapersOnLine, 2024 - Elsevier
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 …

Virtual Constraints on Lie groups

E Stratoglou, AA Simoes, A Bloch… - arXiv preprint arXiv …, 2023 - arxiv.org
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 mechanics and virtual constraints on Riemannian homogeneous spaces

E Stratoglou, AA Simoes, A Bloch… - arXiv preprint arXiv …, 2024 - arxiv.org
Nonholonomic systems are, so to speak, mechanical systems with a prescribed restriction
on the velocities. A virtual nonholonomic constraint is a controlled invariant distribution …

Geometric stabilization of virtual linear nonholonomic constraints

AA Simoes, A Bloch, L Colombo… - arXiv preprint arXiv …, 2024 - arxiv.org
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 …