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Abstract
A general class of discrete-time uncertain nonlinear stochastic systems with quadratic sum constraints is considered. A linear fixed order state estimator for state estimation is presented for various estimation error performance criteria in a unified framework. The observer is of order equal to the difference between the state and output vector dimensions. The performance criteria considered in this paper include guaranteed-cost suboptimal versions of estimation objectives like H2, H∞, stochastic passivity, etc. The design of fixed-order linear state estimators that satisfy these criteria are given using a common matrix inequality formulation.
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