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Iterative algorithm for improved measures of stability robustness for linear state-space models. (English) Zbl 0683.93029
Summary: The problem of robust stability of linear time-invariant systems in state-space models is considered. An iterative algorithm based on the frequency domain approach is proposed which leads to new stability robustness measures. The case of structural perturbations is considered and the new bounds are shown to be a significant improvement over recent ones reported [cf. L. Qiu and E. J. Davison, Proc. 25th IEEE Conf. Decis. Control, Athens/Greece 1986, Vol. 2, 751-755 (New York 1986)]. In addition, it is shown that the directional information on structured perturbations can easily be incorporated in the new robustness criterion. Several illustrative examples are worked out.
93B35 Sensitivity (robustness)
93B40 Computational methods in systems theory (MSC2010)
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
93C05 Linear systems in control theory
Full Text: DOI
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