Uncertain model set calculation from frequency domain data

Gary J. Balas, Andrew K. Packard, Peter J. Seiler

Research output: Chapter in Book/Report/Conference proceedingChapter

9 Scopus citations


Uncertainty models play a central role in the robust control framework. The uncertainty models and their structure determine the design trade off between performance and robustness of the closed-loop system. Therefore, given a nominal multivariable model of the system, a set of multivariable frequency response measurements, and model structure, it is desirable to generate a correspondingmodel set which tightly over bounds the given data.We show that computation of themodel set for a given structure, which is consistent with the data, can be formulated as a linear matrix inequality feasibility problem. Formulas are derived which allow comparison between model structures to assess the relative size of the each model set. The proposed algorithms are applied to the lateral-directional axis of a radio-controlled aircraft developed by NASA Langley researchers.

Original languageEnglish (US)
Title of host publicationModel-Based Control
Subtitle of host publicationBridging Rigorous Theory and Advanced Technology
PublisherSpringer US
Number of pages17
ISBN (Print)9781441908940
StatePublished - Dec 1 2009


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