On Observation of Time-Delay Systems With Unknown Inputs

On Observation of Time-Delay Systems With Unknown Inputs

Causal and non-causal observability are discussed in this technical note for nonlinear time-delay systems with unknown inputs. Using the theory of non-commutative rings and the algebraic framework introduced by Xia , the nonlinear time-delay system is transformed into a suitable canonical form to so...

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Veröffentlicht in:IEEE transactions on automatic control 2011-08, Vol.56 (8), p.1973-1978
Hauptverfasser: Zheng, G., Barbot, J., Boutat, D., Floquet, T., Richard, J-P
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Applied sciences
Automatic control
Automatic Control Engineering
Canonical form
Canonical forms
causality
Computer Science
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Delay
Exact sciences and technology
Modelling and identification
Modules (abstract algebra)
Nonlinear systems
Nonlinearity
Observability
Observers
Polynomials
System theory
time-delay systems
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Beschreibung
Zusammenfassung:Causal and non-causal observability are discussed in this technical note for nonlinear time-delay systems with unknown inputs. Using the theory of non-commutative rings and the algebraic framework introduced by Xia , the nonlinear time-delay system is transformed into a suitable canonical form to solve the problem. A necessary and sufficient condition is given to guarantee the existence of a change of coordinates leading to such a form.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2011.2142590