In this paper, we prove that, for an interval system, the maximal H ∞ norm of its sensitivity function is achieved at twelve (out of sixteen) Kharitonov vertices. We also study the envelope of the Nyquist plots gener...
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In this paper, we prove that, for an interval system, the maximal H ∞ norm of its sensitivity function is achieved at twelve (out of sixteen) Kharitonov vertices. We also study the envelope of the Nyquist plots generated by a family of stable transfer functions with multilinearly correlated uncertainties and show that the outer Nyquist envelope is generated by the Nyquist plots of the vertices of this family. We then apply this result to calculating the maximal H ∞ norm and verifying the strict positive realness condition for uncertain transfer function families.
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