A High-Gain Nonlinear Observer with Limited Gain Power
This work provides a practical solution for nonlinear observer design where high gain power is problematic, though it is an incremental improvement within the high-gain paradigm.
The paper proposes a new observer for nonlinear systems that reduces the gain power from n to 2 by increasing the observer dimension to 2n-2, addressing the issue of high gain in high-dimensional systems.
In this note we deal with a new observer for nonlinear systems of dimension n in canonical observability form. We follow the standard high-gain paradigm, but instead of having an observer of dimension n with a gain that grows up to power n, we design an observer of dimension 2n-2 with a gain that grows up only to power 2.