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On Real Parameter Stability Margins and Their Computation

J. Kantor
B. Spencer
Journal / Anthology

International Journal of Control
Year: 1993
Volume: 57
Issue: 2
Page range: 453-462

A stability margin for linear control systems subject to real parameter variations can be computed from the constraints arising from the conventional Routh-Hurwitz criteria. The proposed stability margin is similar to the real-mu criterion, but with the bound on the real parameter variations given by a differentiable function. If the uncertain parameters are gaussian random variates, then an upper bound on the probability of instability is constructed. A computational procedure is proposed based on polynomial continuation.

*Engineering > Control Theory