Abstract
The guaranteed (worst-case) approach is proposed to the estimation of phase states of dynamical systems subjected to uncertain perturbations under different optimality criteria.
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REFERENCES
F. C. Schweppe, Uncertain Dynamic Systems, Prentice Hall, Englewood Cliffs (1973).
A. B. Kurzhanski, Control and Observation under Conditions of Uncertainty [in Russian], Nauka, Moscow (1977).
F. L. Chernousko, “Optimal guaranteed estimation of uncertainties with the help of ellipsoids,” Izv. AN SSSR, Tekh. Kibern., No. 3, 3-11, No. 4, 3-11, No. 5, 5-11 (1980).
F. L. Chernousko, Estimation of the Phase State of Dynamic Systems [in Russian], Nauka, Moscow (1988).
F. L. Chernousko, State Estimation for Dynamic Systems, CRC Press, Boca Raton (1994).
F. L. Chernousko, “What is ellipsoidal modeling and how to use it for control and state estimation?” in: I. Elishakoff (ed.), Whys and Hows in Uncertainty Modeling, Springer, Vienna (1999), pp. 127-188.
F. L. Chernousko, “Ellipsoidal approximation of sets of attainability of a linear system with an indefinite matrix,” Prikl. Mat. Mekh., 60, No. 6, 940-950 (1996).
A. B. Kurzhanski and I. Valyi, Ellipsoidal Calculus for Estimation and Control, Birkhäuser, Boston (1977).
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Chernousko, F.L. Optimal Ellipsoidal Estimation of Dynamic Systems Subject to Uncertain Disturbances. Cybernetics and Systems Analysis 38, 221–229 (2002). https://doi.org/10.1023/A:1016343412438
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DOI: https://doi.org/10.1023/A:1016343412438