Disturbance decoupling by measurement feedback with stability for infinite-dimensional systems. (English) Zbl 0591.93032

This paper uses a geometric approach for the system design of infinite- dimensional systems. The author extends the concepts of controllability and stabilizability subspaces to infinite-dimensional linear systems. Under certain assumptions she obtains a generalization of the finite- dimensional theory. By dualizing she also derives similar results for the concepts of complementary observability and complementary detectability subspaces. She uses these concepts to solve the infinite-dimensional version of the disturbance-decoupling problem, the disturbance-decoupled estimation problem and the disturbance-decoupling problem with measurement feedback. The solution is in terms of geometric concepts such as (A,B)- and (C,A)-invariant subspaces and controllability and complementary observability subspaces.
Reviewer: T.Kobayashi


93C25 Control/observation systems in abstract spaces
47A15 Invariant subspaces of linear operators
93C05 Linear systems in control theory
93B05 Controllability
93B07 Observability
93D15 Stabilization of systems by feedback
Full Text: DOI


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