Robust H∞ state estimation for linear state-delayed and measurement-delayed systems with uncertainties
YANG Fu-wen
Abstract：The problem of robust H∞ state estimation for a class of continuous-time systems with known state delay and measurement delay as well as with norm-bounded parameter uncertainties is concerned with. Sufficient conditions for the solutions of this problem are presented to ensure that there exists the asymptotically stable state estimator such that the transfer function from exogenous disturbance to output estimation error satisfies the prescribed H∞ performance for all admissible perturbations in terms of two algebraic Riccati inequalities. The results extend to the case of the problem of robust H∞ state estimation for a class of continuous-time systems with unknown state delay and measurement delay as well as with norm-bounded parameter uncertainties. For known state delay and measurement delay systems, the state estimator derived does not depend on parameter uncertainties, but depend on time delays, and for unknown state delay and measurement delay systems, the state estimator depends on neither parameter uncertainties nor time delays.
Keywords：robust H∞ state estimationtime delayuncertain systemalgebraic Riccati inequality
Publication Date：2003-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 211-216 )