Necessary and sufficient geometric conditions for the equivalence of a nonlinear time-delay system with one output, under bicausal change of coordinates and output transformation, to a linear weakly observable time-delay system up to output injection are given. These conditions are derived through the use of the Extended Lie Bracket operator recently introduced in the literature for dealing with time-delay systems. The results presented show how this operator is useful in the analysis of this class of nonlinear systems. © 2011 IFAC.
On the observer canonical form for nonlinear time-delay systems / Califano, Claudia; L. A., Marquez Martinez; C. H., Moog. - 18:PART 1(2011), pp. 3855-3860. (Intervento presentato al convegno 18th IFAC World Congress tenutosi a Milano nel 28 August 2011 through 2 September 2011) [10.3182/20110828-6-it-1002.00729].
On the observer canonical form for nonlinear time-delay systems
CALIFANO, Claudia;
2011
Abstract
Necessary and sufficient geometric conditions for the equivalence of a nonlinear time-delay system with one output, under bicausal change of coordinates and output transformation, to a linear weakly observable time-delay system up to output injection are given. These conditions are derived through the use of the Extended Lie Bracket operator recently introduced in the literature for dealing with time-delay systems. The results presented show how this operator is useful in the analysis of this class of nonlinear systems. © 2011 IFAC.| File | Dimensione | Formato | |
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