Robust Pole Clustering in a Good Ride Quality Region of Aircraft for Structured Uncertain Matrices

Abstract This paper presents a general analysis of robust pole clustering in a good ride quality region of aircraft for structured uncertain matrices. It is well known from experiments that control systems with poles located in this specific region provide a good ride quality for aircraft. This region, non-ω-transformable, is an intersection of a ring and a horizontal strip on the left half-plane. The paper applies Rayleigh principle along the norm theory to analyze robust pole clustering within this good ride quality region since the generalized Lyapunov theory is not valid for the non-ω-transformable region. Concerned uncertainties are structured uncertainties, i.e., parametric uncertainties, including interval matrices. The results are useful for robust control analysis, especially for analysis and design of robust good ride quality of aircraft, shuttles, vehicles, and space station, as well as some industrial systems.

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