Title

Parametric H∞; loopshaping and weighted mixed sensitivity minimization

Document Type

Article

Publication Date

12-1-1999

Abstract

Generalized H∞ loopshaping is developed for a particular weighted mixed sensitivity minimization task. A free parameter is introduced to tradeoff minimizations of sensitivity and complementary sensitivity in the H∞ performance index. A quadratically convergent algorithm is derived for computing the optimal performance index, and a state-space solution is obtained for suboptimal controllers. These results are applicable to stabilization of uncertain systems where normalized coprime factors involve parametrically weighted H∞ norm-bounded perturbations. Controller reduction is also investigated for the parametric H∞ loopshaping. Robust stability condition for using the reduced-order controller is established, and an estimate for the associated H∞ performance is obtained. Similar results are derived for normalized linear quadratic Gaussian (LQG) control.

Publication Source (Journal or Book title)

IEEE Transactions on Automatic Control

First Page

846

Last Page

852

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