Title :
On Observation of Time-Delay Systems With Unknown Inputs
Author :
Zheng, G. ; Barbot, J.-P. ; Boutat, D. ; Floquet, T. ; Richard, J.-P.
Author_Institution :
Project Non-A, INRIA Lille-Nord Eur., Villeneuve-d´´Ascq, France
Abstract :
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.
Keywords :
algebra; delay systems; nonlinear control systems; observability; algebraic framework; canonical form; causal observability; noncausal observability; noncommutative rings; nonlinear time-delay systems; Delay; Modules (abstract algebra); Nonlinear systems; Observability; Observers; Polynomials; Canonical form; causality; observability; time-delay systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2011.2142590
