TRENTELMAN, HL

English

This note generalizes the geometric theory around minimal and reduced order observers to the situation in which differentiation of certain components of the observed output is allowed. A geometric theory involving the notion of PID-observer is introduced, using the concept of almost complementary observability subspace. A generalization of the notions of dynamic cover and cover index is defined in the context of almost controllability subspaces. We prove a result on the existence of minimal dimension covers for one-dimensional subspaces. These ideas are used to define the concept of minimal order PID-observer and to establish the existence of minimal order PID-observers for a single linear functional of the state

Dissertations of the University of Groningen

Reduction of observer order by differentiation, almost controllability subspace covers and minimal order PID-observers

https://pure.rug.nl/ws/files/3407895/1984SystContLettTrentelman.pdf

Reduction of observer order by differentiation, almost controllability subspace covers and minimal order PID-observers

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Dissertations of the University of Groningen