Sufficient Conditions on the Existence of Switching Observers for Nonlinear Time-Varying Systems
Provides theoretical guarantees for observer design in nonlinear time-varying systems, but is incremental as it relaxes assumptions without demonstrating practical impact.
The paper derives sufficient conditions for constructing switching observers for nonlinear time-varying systems, showing that under weaker assumptions than existing works, state determination is possible.
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.