Disturbance decoupling by measurement feedback with stability for infinite-dimensional systems
- 1 June 1986
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 43 (6) , 1723-1743
- https://doi.org/10.1080/00207178608933569
Abstract
The concepts of controllability and stabilizability subspaces are extended to infinite-dimensional linear systems. Under certain assumptions one obtains a nice generalization of the finite-dimensional theory, and, by dualizing, similar results are obtained for the concepts of complementary observability and complementary detectability subspaces. These concepts are used to solve the infinite-dimensional version of the disturbance-decoupling problem, the disturbance-decoupled estimation problem and the disturbance-decoupling problem with measurement feedback, all requiring various stability requirements. The solution is in terms of geometric concepts such as (A, B)- and (C,A)- invariant subspaces and controllability and complementary observability subspaces.Keywords
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