1 citations · 4 across the 11 of their papers we have counts for
11 papers
Virtual Constraint for a Quadrotor UAV Enforcing a Body-Axis Pointing Direction
Alexandre Anahory Simoes, Leonardo Colombo, Juan Giribet +1
We propose a geometric control framework on for quadrotors that enforces pointing-driven missions without completing a full attitude reference. The mission is encoded throu…
Virtual nonlinear nonholonomic constraints from a symplectic point of view
Efstratios Stratoglou, Alexandre Anahory Simoes, Anthony Bloch +1
In this paper, we provide a geometric characterization of virtual nonlinear nonholonomic constraints from a symplectic perspective. Under a transversality assumption, there is a un…
Geometric Stabilization of Virtual Nonlinear Nonholonomic Constraints
Efstratios Stratoglou, Alexandre Anahory Simoes, Anthony Bloch +1
In this paper, we address the problem of stabilizing a system around a desired manifold determined by virtual nonlinear nonholonomic constraints. Virtual constraints are relationsh…
Nonholonomic mechanics and virtual constraints on Riemannian homogeneous spaces
Efstratios Stratoglou, Alexandre Anahory Simoes, Anthony Bloch +1
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
Alexandre Anahory Simoes, Anthony Bloch, Leonardo Colombo +1
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 cons…
Virtual Holonomic and Nonholonomic Constraints on Lie groups
A. Anahory Simoes, A. Bloch, L. Colombo +1
This paper develops a geometric framework for virtual constraints on Lie groups, with emphasis on mechanical systems modeled as affine connection systems. Virtual holonomic and vir…
On the Geometry of Virtual Nonlinear Nonholonomic Constraints
Efstratios Stratoglou, Alexandre Anahory Simoes, Anthony Bloch +1
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 syst…
Virtual Affine Nonholonomic Constraints
Efstratios Stratoglou, Alexandre Anahory Simoes, Anthony Bloch +1
Virtual constraints are relations imposed in a control system that become invariant via feedback, instead of real physical constraints acting on the system. Nonholonomic systems ar…
Reduction in optimal control with broken symmetry for collision and obstacle avoidance of multi-agent system on Lie groups
Efstratios Stratoglou, Alexandre Anahory Simoes, Leonardo J. Colombo
We study the reduction by symmetry for optimality conditions in optimal control problems of left-invariant affine multi-agent control systems, with partial symmetry breaking cost f…
Virtual Nonholonomic Constraints: A Geometric Approach
Alexandre Anahory Simoes, Efstratios Stratoglou, Anthony Bloch +1
Virtual constraints are invariant relations imposed on a control system via feedback as opposed to real physical constraints acting on the system. Nonholonomic systems are mechanic…
Optimal Control with Broken Symmetry of Multi-Agent Systems on Lie Groups
Efstratios Stratoglou, Leonardo Colombo, Tomoki Ohsawa
In this paper we study reduction by symmetry for optimality conditions in optimal control problems of left-invariant affine multi-agent control systems, with partial symmetry break…