Observability and State Estimation for a Class of Nonlinear Systems

2018/03/22 by Tsinias, John, Kitsos, Constantinos
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1803.08386

Abstract

We derive sufficient conditions for the solvability of the state estimation problem for a class of nonlinear control time-varying systems which includes those, whose dynamics have triangular structure. The state estimation is exhibited by means of a sequence of functionals approximating the unknown state of the system on a given bounded time interval. More assumptions guarantee solvability of the state estimation problem by means of a hybrid observer.

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• Observer design for nonlinear triangular systems with unobservable linearization
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• Observer Design for a General Class of Nonlinear Systems