Abstract
Complex dynamic processes partly contain unknown parameters (in the controller) and known parameters (in the process). The latter are frequently deteriorated by uncertainties. The inverse problem results from the challenge to find the unknown system parameters such that the over-all input output behaviour turns out close to some given performance. As the index of performance the stability margin is selected. In this paper, a computer-assisted gradient approach is presented which improves the stability margin of a multivariable control system in the presence of spherical uncertainties. Following the appropriate gradient and observing a heuristic stopping condition from the viewpoint of design engineering, the method provides a unified approach both for controller design and robustification.
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