Existence of dominant solutions in linear output feedback
- 1 August 1985
- journal article
- research article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 30 (8), 828-829
- https://doi.org/10.1109/tac.1985.1104033
Abstract
-The standard LQ-regulator is known to ,be a dominant controller in the sense that the optimal cost is minimal for all initial states x,, E R". In general, static or dynamic output feedback controllers do not have this dominance property. In this note, it is shown that in the general multivariable case and for the original cost functional, a dynamic output feedback controller using an observer is dominant if, and only if, the observer is perfectly initialized.Keywords
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