Interpolation by polynomials with nonnegative coefficients

We consider the problem of determining whether a polynomial of a given order and having only nonnegative coefficients can be found to interpolate a given set of positive data. This problem arises in the design of maximally robust integrating feedback controllers for linear discrete-time plants and i...

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Bibliographic Details
Main Authors: Bottema, M.J., Halpern, M.E., Moran, W.
Format: Conference Proceeding
Language:English
Subjects:
Adaptive control
Equations
Feedback control
Interpolation
Mathematics
Polynomials
Robust control
Robust stability
Statistics
Uncertainty
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Summary:We consider the problem of determining whether a polynomial of a given order and having only nonnegative coefficients can be found to interpolate a given set of positive data. This problem arises in the design of maximally robust integrating feedback controllers for linear discrete-time plants and is also relevant to the design of nonovershooting control systems. We present an algorithm for determining whether such a polynomial exists for given interpolation data.
ISSN:0191-2216
DOI:10.1109/CDC.1996.573558