A High-Gain Observer for Embedded Polynomial Dynamical Systems

Research output: Contribution to journalResearch articleContributedpeer-review



This article deals with the construction of high-gain observers for autonomous polynomial dynamical systems. In contrast to the usual approach, the system’s state is embedded into a higher dimensional Euclidean space. The observer state will be contained in said Euclidean space, which has usually higher dimension than the system’s state space. Due to this embedding it is possible to avoid singularities in the observation matrix. For some systems this even allows constructing global observers in a structured way, which would not be possible in the lower-dimensional case. Finally, the state estimate in the original coordinates can be obtained by a projection. The proposed method is applied on some example systems.


Original languageEnglish
JournalMachines : open access journal
Issue number2
Publication statusPublished - 1 Feb 2023

External IDs

Scopus 85149036269
WOS 000940636900001


Research priority areas of TU Dresden

DFG Classification of Subject Areas according to Review Boards


  • algebraic methods, embedding observer, observability, observer design, polynomial dynamical systems, Polynomial dynamical systems, Algebraic methods, Observability, Embedding observer, Observer design