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20092026
most citedOptimal Control of Underactuated Mechanical Systems: A Geometric Approach

36 citations · 210 across the 58 of their papers we have counts for

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Showing 2020Show all

8 papers · 1 filter

eess.SY2020

Structure Preserving Reduced Attitude Control of Gyroscopes

Nidhish Raj, Leonardo J. Colombo, Ashutosh Simha

We design a reduced attitude controller for reorienting the spin axis of a gyroscope in a geometric control framework. The proposed controller preserves the inherent gyroscopic sta…

math.OC2020

Symmetry Reduction in Optimal Control of Multiagent Systems on Lie Groups

Leonardo Colombo, Dimos V. Dimarogonas

We study the reduction of degrees of freedom for the equations that determine necessary optimality conditions for extrema in an optimal control problem for a multiagent system by e…

eess.SY2020

Forced Variational Integrators for the Formation Control of Multi-Agent Systems

Leonardo Colombo, Hector Garcia de Marina

Formation control of autonomous agents can be seen as a physical system of individuals interacting with local potentials, and whose evolution can be described by a Lagrangian funct…

eess.SY2020

Forced variational integrator for distance-based shape control with flocking behavior of multi-agent systems

Leonardo Colombo, Patricio Moreno, Mengbin Ye +2

A multi-agent system designed to achieve distance-based shape control with flocking behavior can be seen as a mechanical system described by a Lagrangian function and subject to ad…

eess.SY2020

Online learning-based trajectory tracking for underactuated vehicles with uncertain dynamics

Thomas Beckers, Leonardo Colombo, Sandra Hirche +1

Underactuated vehicles have gained much attention in the recent years due to the increasing amount of aerial and underwater vehicles as well as nanosatellites. Trajectory tracking…

math-ph2020

A note on Hybrid Routh reduction for time-dependent Lagrangian systems

Leonardo J. Colombo, Maria Emma Eyrea Irazú, Eduardo García-Toraño Andrés

This note discusses Routh reduction for hybrid time-dependent mechanical systems. We give general conditions on whether it is possible to reduce by symmetries a hybrid time-depende…