Robust strict positive realness: characterization and construction

Brian D.O Anderson; Soura Dasgupta; Pramod Khargonekar; Frantisek J Kraus; Mohamed Mansour

doi:10.1109/31.55062

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Journal article

Robust strict positive realness: characterization and construction

Brian D.O Anderson, Soura Dasgupta, Pramod Khargonekar, Frantisek J Kraus and Mohamed Mansour

IEEE transactions on circuits and systems, Vol.37(7), pp.869-876

07/1990

DOI: 10.1109/31.55062

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Abstract

Let P be a convex set of real polynomials. Consideration is given to the question of when there exists a real polynomial b(s), or more generally, a real transfer function b(s), such that p(s)/b(s) is strictly positive real for all p(s) in P. Necessary and sufficient conditions are found for the transfer function b(s) case, and when the degree of the polynomials in P is restricted, such conditions are also found for the polynomial b(s) case. Closely related results are also obtained for a z-transform version of the problem. The results have application in adaptive systems.< >

Polynomials

Signal Processing

Programmable control

Adaptive systems

Filters

Transfer functions

Robustness

Error correction

Adaptive control

Convergence

Details

Title: Subtitle: Robust strict positive realness: characterization and construction
Creators: Brian D.O Anderson - Dept. of Syst. Eng., Australian Nat. Univ., Canberra, ACT, Australia
Soura Dasgupta
Pramod Khargonekar
Frantisek J Kraus - ETH Zurich
Mohamed Mansour - ETH Zurich
Resource Type: Journal article
Publication Details: IEEE transactions on circuits and systems, Vol.37(7), pp.869-876
DOI: 10.1109/31.55062
ISSN: 0098-4094
eISSN: 1558-1276
Publisher: IEEE
Language: English
Date published: 07/1990
Academic Unit: Electrical and Computer Engineering
Record Identifier: 9984083219302771

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