Title
On Sufficient Conditions To Keep Differential Flatness Under The Addition Of New Inputs
Abstract
It is well known that a controllable nonlinear system will retain its controllabality when new actuator inputs are added to it. In this article, we ask the question if a system, linearisable by static or dynamic feedback, will retain this property when new actuator inputs are added to it. Alternatively, a system may be linearisable after removing one or more inputs from it. This question is important in the design of robotic systems from the perspective of trajectory planning and control, specially if they are under-actuated. The goals of this article are as follows: (i) using counter examples, we first show that feedback linearisability may not be preserved when new inputs are added to a robotic system, (ii) sufficient conditions are determined when a system will retain this property under the addition of new inputs. The theory is illustrated through some examples from the robotics field.
Year
DOI
Venue
2010
10.1080/00207170903453860
INTERNATIONAL JOURNAL OF CONTROL
Keywords
Field
DocType
feedback linearisability, differential flatness, under-actuated robots
Motion planning,Motion control,Nonlinear system,Nonlinear control,Control theory,Control engineering,Artificial intelligence,Underactuation,Mathematics,Robotics,Linearization,Actuator
Journal
Volume
Issue
ISSN
83
4
0020-7179
Citations 
PageRank 
References 
2
0.66
5
Authors
2
Name
Order
Citations
PageRank
Jaume Franch116915.92
Sunil K. Agrawal226957.02