This note deals with the problem of robust stability analysis of linear dynamic systems with uncertain physical parameters entering as polynomials in the state equation matrices. A method is proposed giving necessary and sufficient conditions for computing the uncertain system stability margin in parameter space, which provides a measure of maximal parameter perturbations preserving stability of the perturbed system around a known stable “nominal” system. A globally convergent optimization algorithm is presented enabling solutions to the problem. © 1990 IEEE
Vicino, A., Tesi, A., Milanese, M. (1990). Computationof non conservative stability perturbation bounds for systems with nonlinearly correlated uncertainties. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 35(7), 835-841 [10.1109/9.57025].
Computationof non conservative stability perturbation bounds for systems with nonlinearly correlated uncertainties
VICINO A.;
1990-01-01
Abstract
This note deals with the problem of robust stability analysis of linear dynamic systems with uncertain physical parameters entering as polynomials in the state equation matrices. A method is proposed giving necessary and sufficient conditions for computing the uncertain system stability margin in parameter space, which provides a measure of maximal parameter perturbations preserving stability of the perturbed system around a known stable “nominal” system. A globally convergent optimization algorithm is presented enabling solutions to the problem. © 1990 IEEE
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https://hdl.handle.net/11365/8802
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