Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 46, Issue 2, Pages 343-348Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/9.905707
Keywords
fragility; Kalman filter; linear systems; Riccati equations; robustness
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This note is concerned with the problem of a robust non-fragile Kalman filter design for a class of uncertain linear systems with norm-bounded uncertainties. The designed state estimator can tolerate multiplicative uncertainties in the state estimator gain matrix. The robust nonfragile state estimator designs are given in terms of solutions to algebraic Riccati equations. The designs guarantee known upper bounds on the steady-state error covariance. A numerical example is given to illustrate the results.
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