论文信息 - On the parametric H∞ problems of weighted interval plants

On the parametric H∞ problems of weighted interval plants

In this paper, we consider the parametric H/sub /spl infin// problems of weighted interval plants. A sufficient condition will be given on weighting function W(s) such that for any interval plant P(s, q, r) the maximal H/sub /spl infin// norm of W(s)P(s, q, r) is achieved at one of the 16 so-called weighted Kharitonov plants. It is shown that for first-order and some high-order stable weighting functions, the extremality property is enjoyed generally by the maximal H/sub /spl infin// norm of weighted interval plants.

[1] Shankar P. Bhattacharyya,et al. Robust Control: The Parametric Approach , 1994 .

[2] L. Mirsky,et al. The Theory of Matrices , 1961, The Mathematical Gazette.

[3] F. R. Gantmakher. The Theory of Matrices , 1984 .

[4] S. Bhattacharyya,et al. Robust stability under structured and unstructured perturbations , 1990 .

[5] R. Tempo,et al. New vertex results in H/sub infinity / performance of interval plants and interval feedback systems , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[6] Andrew C. Bartlett. Nyquist, Bode, and Nichols Plots of Uncertain Systems , 1990, 1990 American Control Conference.

[7] M. Fu. Computing the frequency response of linear systems with parametric perturbation , 1990 .

[8] S. Barnett,et al. On Stability Tests for Some Classes of Dynamical Systems with Perturbed Coefficients , 1988 .

[9] R. Tempo,et al. H∞ performance of weighted interval plants: complete characterization of vertex results , 1993, 1993 American Control Conference.