1991 | OriginalPaper | Buchkapitel
Robust State Feedback Using Ellipsoid Sets
verfasst von : Univ.-Prof. Dr. Alexander Weinmann
Erschienen in: Uncertain Models and Robust Control
Verlag: Springer Vienna
Enthalten in: Professional Book Archive
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The ellipsoidal set-theoretic approach is used to formulate the control problem arising when both input and system state matrix are perturbed. The set of perturbed parameters is bounded in a given compact convex set. The objective is to find a linear state-feedback controller K such that both the system state and control variables are minimally bounded by an ellipsoid and the ellipsoids satisfy a minimal performance functional. The boundary ellipsoids are minimized in a mean size given by the length sum of semi-major axes. The ellipsoidal set-theoretic approach originally was documented by Usoro, P.B., et al. 1982. The design method in the following was presented by Wang, S.D., and Kuo, T.S., 1990.