Research Initiation:  Robustness Properties of Multiple     Loop Feedback Systems
{'Code': '07010000', 'Directorate': {'Abbreviation': 'ENG', 'LongName': 'Directorate For Engineering'}, 'Division': {'Abbreviation': 'ECCS', 'LongName': 'Div Of Electrical, Commun & Cyber Sys'}}
{'SignBlockName': 'Kristen M. Biggar, N-BioS', 'PO_EMAI': None, 'PO_PHON': None}
Linear multivariable feedback systems possess many properties not               present in single-loop systems which pose great difficulty in design.           One such difficulty is that multivariable systems can have radically            different stability margins depending on where the loop is broken.  An          even greater difficulty is that a multivariable feedback system may             possess good stability margins against uncertainty appearing at only            one loop breaking point, yet may be destabilized by small perturbations         appearing simultaneously at more than one point.  The goal of this              research is to understand how feedback properties, e.g. performance and         robustness, at one point of a multivariable system are related to those         properties at other loop breaking points and to investigate how                 properties of the plant and compensator affect this relation.  The              techniques used in the research include a method for approximating              closed loop from open loop properties.  This research should prove              useful in developing methods for solving multivariable control system           design problems.
{'FirstName': 'James', 'LastName': 'Freudenberg', 'PI_MID_INIT': 'S', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'James S Freudenberg', 'EmailAddress': 'jfr@umich.edu', 'NSF_ID': '000291816', 'StartDate': '08/01/1985', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '1454', 'Text': 'SYSTEMS THEORY'}
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