Embedding observers for polynomial dynamical systems

Article Engineering, Electrical & Electronic

A High-Gain Observer for Embedded Polynomial Dynamical Systems

Daniel Gerbet et al.

Summary: This article discusses the construction of high-gain observers for autonomous polynomial dynamical systems. Unlike the usual approach, the system's state is embedded into a higher dimensional Euclidean space. The observer state will be contained in this Euclidean space, which has a higher dimension than the system's state space. By using this embedding, singularities in the observation matrix can be avoided and global observers can be constructed in a structured way for some systems, which would not be possible in lower-dimensional cases. Finally, the state estimate in the original coordinates can be obtained through a projection. The proposed method is demonstrated on several example systems.

MACHINES (2023)

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Article Engineering, Mechanical

Improved high gain observer design for a class of disturbed nonlinear systems

M. Farza et al.

Summary: This paper introduces a new Non Peaking Filtered High Gain Observer (NPFHGO) to address the peaking phenomenon and high frequency measurement noise sensitivity during transient periods in systems. The NPFHGO shares a similar structure with the Standard High Gain Observer (SHGO) but differs in its corrective term, and its equations become identical to those of SHGO after reducing the transient time horizon to sufficiently high values of the design parameter.

NONLINEAR DYNAMICS (2021)

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Article Automation & Control Systems