Observer design for continuous-time dynamical systems

We review the main design techniques of state observer design for continuous-time dynamical systems, namelyalgorithms which reconstruct online the full information of a dynamical process on the basis of partiallymeasured data. Starting from necessary conditions for the existence of such asymptotic observers, we classifythe available methods depending on the detectability/observability assumptions they require. We show howeach class of observer relies on transforming the system dynamics in a particular normal form which allowsthe design of an observer, and how each observability condition guarantees the invertibility of its associatedtransformation and the convergence of the observer. Finally, some implementation aspects and open problem sare briefly discussed

Automated summary

This paper reviews the main design techniques of state observer design for continuous-time dynamical systems, which involve algorithms that reconstruct the full information of a dynamical process based on partially measured data. The available methods are classified based on the detectability/observability assumptions they require. The paper shows how each class of observer relies on transforming the system dynamics in a particular normal form, which allows the design of an observer, and how each observability condition guarantees the invertibility of its associated transformation and the convergence of the observer. Finally, some implementation aspects and open problems are briefly discussed.