Exponential convergence of adaptive identification and control algorithms

Brian D.O. Anderson; C. Richard Johnson

doi:10.1016/0005-1098(82)90021-8

Exponential convergence of adaptive identification and control algorithms

Brian D.O. Anderson^*, C. Richard Johnson

^*Corresponding author for this work

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

182 Citations (Scopus)

Abstract

Output and equation error adaptive identification algorithms are shown to be exponentially convergent under a deterministic or stochastic persistently exciting (or spanning) condition on the system inputs together with several other standard conditions. An adaptive control algorithm is shown to be exponentially convergent under a deterministic or stochastic persistently exciting condition on the reference trajectory together with some standard conditions.

Original language	English
Pages (from-to)	1-13
Number of pages	13
Journal	Automatica
Volume	18
Issue number	1
DOIs	https://doi.org/10.1016/0005-1098(82)90021-8
Publication status	Published - Jan 1982
Externally published	Yes

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title = "Exponential convergence of adaptive identification and control algorithms",

abstract = "Output and equation error adaptive identification algorithms are shown to be exponentially convergent under a deterministic or stochastic persistently exciting (or spanning) condition on the system inputs together with several other standard conditions. An adaptive control algorithm is shown to be exponentially convergent under a deterministic or stochastic persistently exciting condition on the reference trajectory together with some standard conditions.",

keywords = "Adaptive control, adaptive systems, convergence of numerical methods, filtering, identification, parameter estimation, stability",

author = "Anderson, {Brian D.O.} and Johnson, {C. Richard}",

year = "1982",

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language = "English",

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T1 - Exponential convergence of adaptive identification and control algorithms

AU - Anderson, Brian D.O.

AU - Johnson, C. Richard

PY - 1982/1

Y1 - 1982/1

N2 - Output and equation error adaptive identification algorithms are shown to be exponentially convergent under a deterministic or stochastic persistently exciting (or spanning) condition on the system inputs together with several other standard conditions. An adaptive control algorithm is shown to be exponentially convergent under a deterministic or stochastic persistently exciting condition on the reference trajectory together with some standard conditions.

AB - Output and equation error adaptive identification algorithms are shown to be exponentially convergent under a deterministic or stochastic persistently exciting (or spanning) condition on the system inputs together with several other standard conditions. An adaptive control algorithm is shown to be exponentially convergent under a deterministic or stochastic persistently exciting condition on the reference trajectory together with some standard conditions.

KW - Adaptive control

KW - adaptive systems

KW - convergence of numerical methods

KW - filtering

KW - identification

KW - parameter estimation

KW - stability

UR - http://www.scopus.com/inward/record.url?scp=0019930063&partnerID=8YFLogxK

U2 - 10.1016/0005-1098(82)90021-8

DO - 10.1016/0005-1098(82)90021-8

M3 - Article

AN - SCOPUS:0019930063

SN - 0005-1098

VL - 18

SP - 1

EP - 13

JO - Automatica

JF - Automatica

IS - 1

ER -

Exponential convergence of adaptive identification and control algorithms

Abstract

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