Title :
Interpolation by polynomials with nonnegative coefficients
Author :
Bottema, Murk J. ; Halpern, Mark E. ; Moran, William
Author_Institution :
Dept. of Math. & Stat., Flinders Univ. of South Australia, Adelaide, SA, Australia
Abstract :
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
Keywords :
approximation theory; control system synthesis; discrete time systems; feedback; interpolation; polynomials; robust control; interpolation; linear discrete-time plants; maximally robust integrating feedback controller design; nonnegative coefficients; nonovershooting control systems; polynomials; positive data; Adaptive control; Equations; Feedback control; Interpolation; Mathematics; Polynomials; Robust control; Robust stability; Statistics; Uncertainty;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.573558
