Flatness and defect of non-linear systems: introductory theory and examples

M Fliess, J Lévine, P Martin… - International journal of …, 1995 - Taylor & Francis
We introduce flat systems, which are equivalent to linear ones via a special type of feedback
called endogenous. Their physical properties are subsumed by a linearizing output and they …

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 …

[PDF][PDF] Control: A perspective.

KJ Åström, PR Kumar - Autom., 2014 - bwang-ccny.github.io
Nature discovered feedback long ago. It created feedback mechanisms and exploited them
at all levels, that are central to homeostasis and life. As a technology, control dates back at …

Developments in nonholonomic control problems

I Kolmanovsky, NH McClamroch - IEEE Control systems …, 1995 - ieeexplore.ieee.org
Provides a summary of recent developments in control of nonholonomic systems. The
published literature has grown enormously during the last six years, and it is now possible to …

A lie-backlund approach to equivalence and flatness of nonlinear systems

M Fliess, J Lévine, P Martin… - IEEE Transactions on …, 1999 - ieeexplore.ieee.org
A new system equivalence relation, using the framework of differential geometry of jets and
prolongations of infinite order, is studied. In this setting, two systems are said to be …

From Reeds and Shepp's to continuous-curvature paths

T Fraichard, A Scheuer - IEEE Transactions on Robotics, 2004 - ieeexplore.ieee.org
This paper presents Continuous Curvature (CC) Steer, a steering method for car-like
vehicles, ie, an algorithm planning paths in the absence of obstacles. CC Steer is the first to …

Control of truck-trailer mobile robots: a survey

J David, PV Manivannan - Intelligent Service Robotics, 2014 - Springer
Mobile robots with trailers and its control is one of the most challenging problems in service
robotics. Since, these kinds of robots can accomplish the given task in a faster and cheaper …

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 …

Real‐time trajectory generation for differentially flat systems

MJ Van Nieuwstadt, RM Murray - International Journal of …, 1998 - Wiley Online Library
This paper considers the problem of real‐time trajectory generation and tracking for
nonlinear control systems. We employ a two‐degree‐of‐freedom approach that separates …

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 …