Sufficient Conditions on the Existence of Switching Observers for Nonlinear Time-Varying Systems

TL;DR

This paper establishes weaker sufficient conditions for designing switching observers for nonlinear time-varying systems, enabling state estimation with a novel switching sequence approach.

Contribution

It introduces less restrictive conditions for observer design and constructs a switching sequence for nonlinear time-varying systems, including triangular structures.

Findings

Sufficient conditions for observer existence derived

Switching sequence constructed for state estimation

Applicable to systems with triangular structure

Abstract

We derive sufficient conditions for the solvability of the observer design problem for a wide class of nonlinear time-varying systems, including those having triangular structure. We establish that, under weaker assumptions than those imposed in the existing works in the literature, it is possible to construct a switching sequence of time-varying noncausal dynamics, exhibiting the state determination of our system.