What is field theory?

JL Martin - American journal of sociology, 2003 - journals.uchicago.edu
Field theory is a more or less coherent approach in the social sciences whose essence is
the explanation of regularities in individual action by recourse to position vis-à-vis others …

Maneuver-based motion planning for nonlinear systems with symmetries

E Frazzoli, MA Dahleh, E Feron - IEEE transactions on robotics, 2005 - ieeexplore.ieee.org
In this paper, we introduce an approach for the efficient solution of motion-planning
problems for time-invariant dynamical control systems with symmetries, such as mobile …

Robust hybrid control for autonomous vehicle motion planning

E Frazzoli, MA Dahleh, E Feron - Proceedings of the 39th IEEE …, 2000 - ieeexplore.ieee.org
The operation of an autonomous vehicle in an unknown, dynamic environment is a very
complex problem, especially when the vehicle is required to use its full maneuvering …

Invariant observer design for a helicopter UAV aided inertial navigation system

M Barczyk, AF Lynch - IEEE Transactions on Control Systems …, 2012 - ieeexplore.ieee.org
The invariant observer is a recently introduced constructive nonlinear design method for
symmetry-possessing systems such as the magnetometer-plus-global positioning system …

Invariant trajectory tracking with a full-size autonomous road vehicle

M Werling, L Gröll, G Bretthauer - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
Safe handling of dynamic inner-city scenarios with autonomous road vehicles involves the
problem of stabilization of precalculated state trajectories. In order to account for the …

Features of invariant extended Kalman filter applied to unmanned aerial vehicle navigation

NY Ko, W Youn, IH Choi, G Song, TS Kim - Sensors, 2018 - mdpi.com
This research used an invariant extended Kalman filter (IEKF) for the navigation of an
unmanned aerial vehicle (UAV), and compared the properties and performance of this IEKF …

A Virtual Reference Point Kinematic Guidance Law for 3-D Path-Following of Autonomous Underwater Vehicles

L Degorre, TI Fossen, E Delaleau, O Chocron - IEEE Access, 2024 - ieeexplore.ieee.org
This work presents a novel method for 3-D path-following and path-tracking of Autonomous
Underwater Vehicles (AUVs) using the concept of a Virtual Reference Point (VRP) and a …

On invariant asymptotic observers

N Aghannan, P Rouchon - … of the 41st IEEE Conference on …, 2002 - ieeexplore.ieee.org
For dynamics x/spl dot/= f (x) with output y= h (x) invariant with respect to a transformation
group G, we define invariant asymptotic observer of the form x/spl circ//spl dot/= f/spl …

Invariant tracking

P Martin, P Rouchon, J Rudolph - ESAIM: Control, Optimisation and …, 2004 - cambridge.org
The problem of invariant output tracking is considered: given a control system admitting a
symmetry group G, design a feedback such that the closed-loop system tracks a desired …

[PDF][PDF] Motion planning, equivalence, infinite dimensional systems

P Rouchon - International Journal of Applied Mathematics and …, 2001 - bibliotekanauki.pl
Motion planning, ie, steering a system from one state to another, is a basic question in
automatic control. For a certain class of systems described by ordinary differential equations …