On optimizing performance indices with pole assignment constraints
Tingshu Hu, James Lam · Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering · 1998
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 H 2 sensitivity reduction are employed to illustrate the technique. In particular, comparisons of different performance indices to maximize the complex stability radius are made.