Persistence of excitation conditions for partially known systems

Soura Dasgupta; Brian D.O. Anderson; R. John Kaye

doi:10.1016/0005-1098(94)90136-8

Persistence of excitation conditions for partially known systems

Soura Dasgupta^*, Brian D.O. Anderson, R. John Kaye

^*Corresponding author for this work

School of Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

This note derives persistence of excitation conditions on the input for systems with partially known transfer functions. The assumed transfer function model is [p₀(s) + K^TP(s)] [q₀(s) + K^TQ(s)], where K is the unknown parameter vector p₀(s), q₀(s) are known scalar polynomials and P(s) and Q(s) are known vector polynomials.

Original language	English
Pages (from-to)	547-550
Number of pages	4
Journal	Automatica
Volume	30
Issue number	3
DOIs	https://doi.org/10.1016/0005-1098(94)90136-8
Publication status	Published - Mar 1994

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title = "Persistence of excitation conditions for partially known systems",

abstract = "This note derives persistence of excitation conditions on the input for systems with partially known transfer functions. The assumed transfer function model is [p0(s) + KTP(s)] [q0(s) + KTQ(s)], where K is the unknown parameter vector p0(s), q0(s) are known scalar polynomials and P(s) and Q(s) are known vector polynomials.",

keywords = "adaptive identification, identifiability, linear systems, Persistent excitation, sufficient richness",

author = "Soura Dasgupta and Anderson, {Brian D.O.} and {John Kaye}, R.",

year = "1994",

month = mar,

doi = "10.1016/0005-1098(94)90136-8",

language = "English",

volume = "30",

pages = "547--550",

journal = "Automatica",

issn = "0005-1098",

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TY - JOUR

T1 - Persistence of excitation conditions for partially known systems

AU - Dasgupta, Soura

AU - Anderson, Brian D.O.

AU - John Kaye, R.

PY - 1994/3

Y1 - 1994/3

N2 - This note derives persistence of excitation conditions on the input for systems with partially known transfer functions. The assumed transfer function model is [p0(s) + KTP(s)] [q0(s) + KTQ(s)], where K is the unknown parameter vector p0(s), q0(s) are known scalar polynomials and P(s) and Q(s) are known vector polynomials.

AB - This note derives persistence of excitation conditions on the input for systems with partially known transfer functions. The assumed transfer function model is [p0(s) + KTP(s)] [q0(s) + KTQ(s)], where K is the unknown parameter vector p0(s), q0(s) are known scalar polynomials and P(s) and Q(s) are known vector polynomials.

KW - adaptive identification

KW - identifiability

KW - linear systems

KW - Persistent excitation

KW - sufficient richness

UR - http://www.scopus.com/inward/record.url?scp=0028396809&partnerID=8YFLogxK

U2 - 10.1016/0005-1098(94)90136-8

DO - 10.1016/0005-1098(94)90136-8

M3 - Article

AN - SCOPUS:0028396809

SN - 0005-1098

VL - 30

SP - 547

EP - 550

JO - Automatica

JF - Automatica

IS - 3

ER -

Persistence of excitation conditions for partially known systems

Abstract

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