Abstract

In this paper, LTI systems with parameter uncertainty are considered. For such systems, a method is presented for determining permissible perturbations of the parameters of the system that maintain stability (the so-called parameter stability margins) for the case in which the coefficients of the characteristic equation of the system are polynomial functions of the uncertain parameters. A globally convergent polynomial programming technique is used to solve the underlying parametric non-convex subproblems for computing the stability margins. The approach is illustrated using a four-parameter numerical example.

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