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Published October 15, 1993 | public
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Interconnection of Uncertain Behavioral Systems for Robust Control

Abstract

This paper attempts to relate robust control and behavioral frameworks by incorporating structured uncertainty into the description of behavioral systems. Behavioral equations are expressed as linear fractional transformations (LFTs) on an uncertainty structure, and a method of interconnection is outlined. A method for obtaining input-output maps from LFT representations of behavioral systems is also presented. This extension of the behavioral framework is compatible with existing robust control methods, such as p analysis, which can be used to provide robustness tests in behaviors. A simple example is presented that illustrates some of the issues which arise in this extension.

Additional Information

The authors would like to acknowledge J. Doyle for motivating this paper, and thank the rest of the Control Group at Caltech for the numerous helpful discussions, especially J. Tierno. We would also like to thank A. Megretski for his input and comments. Finally, we would like to acknowledge AFOSR, NSERC, and NSF as funders of this project.

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Created:
August 20, 2023
Modified:
October 24, 2023