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Robust \(H_{\infty}\) state estimation for linear state-delayed and measurement-delayed systems with uncertainties. (English) Zbl 1056.93007

The problem of robust \(H_{\infty}\) state estimation for linear systems with time delays and parameter perturbations is investigated. For known state delay and measurement delay systems, the state estimator with time delays is constructed to guarantee the prescribed \(H_{\infty}\) performance in terms of two algebraic Riccati inequalities. For unknown state delay and measurement delay systems, the state estimator without time delays is constructed to guarantee the prescribed \(H_{\infty}\) performance in terms of two algebraic Riccati inequalities. They can be solved via a Riccati equation approach or an LMI technique that is similar to the one used in the solution to \(H_{\infty}\) estimation of a corresponding process without time delay.

MSC:

93B07 Observability
93B36 \(H^\infty\)-control
93C23 Control/observation systems governed by functional-differential equations
93D09 Robust stability
93B51 Design techniques (robust design, computer-aided design, etc.)
15A39 Linear inequalities of matrices
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