On the strict- and wide-sense stability robustness of uncertain systems: Application of a new frequency criterion
The authors utilize a new frequency-domain graphical approach, recently developed by the first two authors, to estimate the largest stability domain of rectangular shape around a given stable nominal polynomial. This estimation is important for robust stability of uncertain systems. The method is based on Mikhailov's criterion, and it requires plotting a single hodograph and evaluation of two boundary conditions, hence reducing the computational effort for robust stability analysis and controller design. The authors extend this approach to a more general robust stability region, i.e., closed left-half plane for the continuous time case, in the extended or wide-sense Hurwitz stability context. This study may be applied to a number of robustness problems such as positivity, nonnegativity, spectral analysis, and array processing.
scientific article; zbMATH DE number 579971
scientific article