Any dynamical system is fully accessible through one single actuator and related problems

Summary Whether an autonomous system can be rendered fully accessible through one single actuator is a long‐standing open problem, which got some solutions in special cases when additional constraints are considered. Herein, it is shown that a solution to the general problem is provided as an easy c...

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Bibliographic Details
Published in:International journal of robust and nonlinear control Vol. 26; no. 8; pp. 1748 - 1754
Main Authors: Kawano, Yu, Kotta, Ülle, Moog, Claude H.
Format: Journal Article
Language:English
Published: Bognor Regis Blackwell Publishing Ltd 25.05.2016
Wiley Subscription Services, Inc
Wiley
Subjects:
Accessibility
actuator location
Actuators
Automatic Control Engineering
canonical forms
Computer Science
Dynamical systems
Nonlinear dynamics
Nonlinearity
sensor location
Sensors
Straightening
Transformations
sensor location
canonical forms
Actuator location
ISSN:1049-8923, 1099-1239
Online Access:Get full text
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Summary:Summary Whether an autonomous system can be rendered fully accessible through one single actuator is a long‐standing open problem, which got some solutions in special cases when additional constraints are considered. Herein, it is shown that a solution to the general problem is provided as an easy consequence of the straightening theorem. This solution is innovative for linear time‐invariant systems as well and relaxes the well‐known cyclicity condition as it involves nonlinear state transformations. The dual problem of designing one single sensor to render a given system observable obtains a similar almost unconditional solution. Copyright © 2015 John Wiley & Sons, Ltd.
Bibliography:ark:/67375/WNG-X3T6GF3G-L
ArticleID:RNC3379
istex:5754E07EBF8722CB7ABD1B6531A4C037A934B033
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
content type line 23
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.3379