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On the observability of discrete-time dynamic systems — A geometric approach

✍ Scribed by Karl Rieger; Kurt Schlacher; Johann Holl

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
513 KB
Volume
44
Category
Article
ISSN
0005-1098

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✦ Synopsis

A coordinate-free description for dynamic systems described by explicit (nonlinear) difference equations in one independent variable via a differential geometric framework is presented. Based on this covariant approach suitable geometric objects for discrete-time dynamics are introduced. Especially, the observability along a trajectory is discussed and transformations to normal forms are derived. In addition, the obtained (local) observability criteria can be checked by computer algebra algorithms. Some examples illustrate the proposed approach.

📜 SIMILAR VOLUMES

Remarks on observability of implicit lin
Remarks on observability of implicit linear discrete-time systems
✍ Andrzej Banaszuk; Maciej Kociȩcki; K.M. Przyłuski 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 287 KB

Al~tract~Some results concerning the observability of implicit linear discrete-time systems of the form Ex~+t = Fxk, y~ = Hx~ are presented. It is not assumed that the corresponding pencil [sE-F] is regular. The concept of reachability with pulse introduced in this paper is shown to be dual to the n