NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
Parameterization of Model Validating Sets for Uncertainty Bound OptimizationsGiven measurement data, a nominal model and a linear fractional transformation uncertainty structure with an allowance on unknown but bounded exogenous disturbances, easily computable tests for the existence of a model validating uncertainty set are given. Under mild conditions, these tests are necessary and sufficient for the case of complex, nonrepeated, block-diagonal structure. For the more general case which includes repeated and/or real scalar uncertainties, the tests are only necessary but become sufficient if a collinearity condition is also satisfied. With the satisfaction of these tests, it is shown that a parameterization of all model validating sets of plant models is possible. The new parameterization is used as a basis for a systematic way to construct or perform uncertainty tradeoff with model validating uncertainty sets which have specific linear fractional transformation structure for use in robust control design and analysis. An illustrative example which includes a comparison of candidate model validating sets is given.
Document ID
20040086738
Acquisition Source
Langley Research Center
Document Type
Other
Authors
Lim, K. B.
(NASA Langley Research Center Hampton, VA, United States)
Giesy, D. P.
(NASA Langley Research Center Hampton, VA, United States)
Date Acquired
September 7, 2013
Publication Date
January 1, 2000
Subject Category
Theoretical Mathematics
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
No Preview Available