Interconnection of Uncertain Behavioral Systems for Robust Control

Fernando Paganini and Raffaello D'Andrea, EE, Caltech

This talk 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 $\mu$ 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.