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Robust Stability Analysis of LQG-Controlled Active Suspension with Model Uncertainty Using Structured Singular Value, μ, Method
Authors:R. Kashani   S. Kiriczi
Affiliation: a Assistant Professor, Dept. of Mechanical Engineering and Engineering Mechanics, Michigan Technological University, Houghton, MI, USAb Graduate Student, Dept. of Electrical Engineering, Michigan Technological University,
Abstract:This paper presents a systematic approach toward robust stability analysis of LQG-con trolled active suspension systems. To perform this task, the paper starts with a brief background information on LQG control, its relation to H2 method, and showing how H2 could be formulated to become the frequency domain equivalent of LQG. Then unstructured and structured uncertainties of active suspension are formulated. The paper continues with the definition of maximum singular values and structured singular values of a transfer function matrix. Using these definitions, the robust stability of an active suspension system in the presence of assumed parameter variations are analyzed. These steps are illustrated by means of a numerical example of an active suspension system.
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