Abstract
Abstract
In this paper, a unified gradient-based treatment for optimizing certain performance indices under the constraint of pole assignment is provided. By introducing a free optimization parameter and solving a special Sylvester matrix equation, compact gradient formulae are derived for general-purpose gradient descent numerical implementation. Special problems including robust stability pole assignment and H2 sensitivity reduction are employed to illustrate the technique. In particular, comparisons of different performance indices to maximize the complex stability radius are made.
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