Computational analysis of a stability robustness margin for structured real-parameter perturbationsAn efficient computational method is presented for stability robustness analysis with structured real-parameter perturbations. A generic model of a class of uncertain dynamical systems is used as an example. The parameter uncertainty is characterized by a real scalar, epsilon. Multilinearity of the closed-loop characteristic polynomial is exploited to permit application of the mapping theorem to calculate the stability robustness margin. It is found that sensitive geometry of the stability boundary in the epsilon, omega-plane renders problematic the calculation of the minimum epsilon as a function of omega. This difficulty is avoided by calculating the minimum distance to the image of the uncertainty domain over omega as a function of epsilon. It is also shown that a certain class of uncertain dynamical systems has the required multilinearity property and are thus amenable to the proposed technique.
Document ID
19890065226
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Wedell, Evan (Texas Univ. Austin, TX, United States)
Chuang, C.-H. (Texas Univ. Austin, TX, United States)
Wie, Bong (Texas, University Austin, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1989
Subject Category
Cybernetics
Report/Patent Number
AIAA PAPER 89-3504
Meeting Information
Meeting: AIAA Guidance, Navigation and Control Conference