Will the asymptotic observer of a linearized system work for a real object?

Question

Mathematics

Hello.
There is a nonlinear system with an incompletely measurable state vector (the system is observable). Linearizing it around some equilibrium position, I get a linear system. Will an asymptotic observer work correctly if we feed it an output from a non-linear system?

ps I haven't got it yet. The error grows, although everything is fine for a linear system.

Answer 1

If the original system is smooth, then it will be in some (small) neighborhood of the linearization point. Check that, perhaps, the observer's input should not be the object's output and control, but their deviation from the linearization point, since a linearized system is usually built in deviations.