Accurate tracking of aggressive quadrotor trajectories using incremental nonlinear dynamic inversion and differential flatness

E Tal, S Karaman - IEEE Transactions on Control Systems …, 2020 - ieeexplore.ieee.org
Autonomous unmanned aerial vehicles (UAVs) that can execute aggressive (ie, high-speed
and high-acceleration) maneuvers have attracted significant attention in the past few years …

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 …

[图书][B] Introduction to mathematical systems theory: a behavioral approach

JC Willems, JW Polderman - 1997 - books.google.com
Mathematics is playing an ever more important role in the physical and biological sciences,
provoking a blurring of boundaries between scientific disciplines and a resurgence of …

[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 …

Optimal trajectories for nonholonomic mobile robots

P Soueres, JD Boissonnat - Robot motion planning and control, 2005 - Springer
From a kinematic point of view, the main characteristic of wheeled robots is the
nonholonomic rolling without slipping constraint of the wheels on the floor, which forces the …

[图书][B] Differentially flat systems

H Sira-Ramirez, SK Agrawal - 2018 - taylorfrancis.com
Illustrating the power, simplicity, and generality of the concept of flatness, this reference
explains how to identify, utilize, and apply flatness in system planning and design. The book …

[图书][B] Analysis and control of nonlinear systems: A flatness-based approach

J Levine - 2009 - books.google.com
Page 1 RINGMATHEMATICALENGINEERINGMATHEMAT RINGMATHEMATICAL
ENGINEERINGMATHEMA Jean Lévine Analysis and Control of Nonlinear Systems A …

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 …

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 …