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• W1971291754 abstract "This paper presents the formulation of a flight clearance criterion as a convex optimization problem. The criterion is the stability margins criterion which is specified as an allowable phase and gain margin of a certain loop transfer function. The satisfaction of the criterion amounts to the Nichols plot of the loop transfer function being outside a specified trapezoidal region. It was shown previously that the exclusion condition from an ellipsoidal region is implied by using the generalized stability margin bPC and its calculation was performed frequency-wise by solving a sequence of convex optimization problems. In this paper we formulate the calculation of a lower bound on bPC as a convex optimization problem using Integral Quadratic Constraints (IQCs) and avoid the gridding procedure in the frequency domain. Furthermore, we formulate the problem of obtaining a lower bound on the perturbed stability margin, which is defined as the worst-case bPC over variations in real uncertain parameters." @default.
• W1971291754 created "2016-06-24" @default.
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• W1971291754 date "2009-01-01" @default.
• W1971291754 modified "2023-09-26" @default.
• W1971291754 title "Formulation of the stability margins clearance criterion as a convex optimization problem" @default.
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• W1971291754 doi "https://doi.org/10.3182/20090616-3-il-2002.00056" @default.
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