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Robust Control Lecture 3 Dongjun Wu Uncertainty modeling Nyquist-Bode plots. e.g. for P̃ = (1+w∆)P , ∥∆∥∞ ≤ 1, choose w such that ∣∣∣∣ P̃ −P P ( jω) ∣∣∣∣≤ |w( jω)|, ∀ω. Parametric uncertainties. e.g. for ẍ + c m ẋ + k m x = F m nominal value error actual mass normalized error m m̄ ±10% m̄(1+0.1δm) |δm | ≤ 1 c c̄ ±20% c̄(1+0.2δc ) |δc | ≤ 1 k k̄ ±30% k̄(1+0.3δk ) |δk | ≤ 1 All can be put as wz ηv
https://www.control.lth.se/fileadmin/control/Education/DoctorateProgram/RobustControl2025/SlidesPDF/Lec3.pdf - 2026-04-26
