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H control and estimation problems with delayed measurements: state space solutions

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2 Author(s)
Nagpal, Krishan M. ; Dept. of Electr. & Comput. Eng., Iowa Univ., Iowa City, IA, USA ; Ravi, R.

Necessary and sufficient conditions for existence of estimators and controllers meeting desired H performance criterion are given for the case where the finite sensor delays exist. A complete characterization of such controllers is also presented. The necessary and sufficient conditions are computable and are framed in terms of two algebraic Riccati equations and one finite-horizon Riccati differential equation. The controllers and estimators that are obtained here have a linear periodic structure and are easily implementable. At the foundation of these results lies a modified Nehari problem, the state space solution for which may be of independent interest.

Published in:

American Control Conference, 1994  (Volume:3 )

Date of Conference:

29 June-1 July 1994

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