Exponential convergence of recursive least squares with exponential forgetting factor -adaptive control

Richard M. Johnstone; Brian D.O. Anderson

doi:10.1016/S0167-6911(82)80013-3

Exponential convergence of recursive least squares with exponential forgetting factor -adaptive control

Richard M. Johnstone^*, Brian D.O. Anderson

^*Corresponding author for this work

School of Engineering

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

22 Citations (Scopus)

Abstract

In this paper we demonstrate that provided the setpoint sequence is persistently exciting and the plant is linear, finite-dimensional, time-invariant and possesses a stable inverse, a trajectory-following adaptive control algorithm, with exponential forgetting recursive least squares, is exponentially stable.

Original language	English
Pages (from-to)	69-76
Number of pages	8
Journal	Systems and Control Letters
Volume	2
Issue number	2
DOIs	https://doi.org/10.1016/S0167-6911(82)80013-3
Publication status	Published - Aug 1982

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10.1016/S0167-6911(82)80013-3

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title = "Exponential convergence of recursive least squares with exponential forgetting factor -adaptive control",

abstract = "In this paper we demonstrate that provided the setpoint sequence is persistently exciting and the plant is linear, finite-dimensional, time-invariant and possesses a stable inverse, a trajectory-following adaptive control algorithm, with exponential forgetting recursive least squares, is exponentially stable.",

keywords = "Adaptive control, Exponential stability, Recursive least squares",

author = "Johnstone, \{Richard M.\} and Anderson, \{Brian D.O.\}",

year = "1982",

month = aug,

doi = "10.1016/S0167-6911(82)80013-3",

language = "English",

volume = "2",

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journal = "Systems and Control Letters",

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T1 - Exponential convergence of recursive least squares with exponential forgetting factor -adaptive control

AU - Johnstone, Richard M.

AU - Anderson, Brian D.O.

PY - 1982/8

Y1 - 1982/8

N2 - In this paper we demonstrate that provided the setpoint sequence is persistently exciting and the plant is linear, finite-dimensional, time-invariant and possesses a stable inverse, a trajectory-following adaptive control algorithm, with exponential forgetting recursive least squares, is exponentially stable.

AB - In this paper we demonstrate that provided the setpoint sequence is persistently exciting and the plant is linear, finite-dimensional, time-invariant and possesses a stable inverse, a trajectory-following adaptive control algorithm, with exponential forgetting recursive least squares, is exponentially stable.

KW - Adaptive control

KW - Exponential stability

KW - Recursive least squares

UR - https://www.scopus.com/pages/publications/0002413418

U2 - 10.1016/S0167-6911(82)80013-3

DO - 10.1016/S0167-6911(82)80013-3

M3 - Article

AN - SCOPUS:0002413418

SN - 0167-6911

VL - 2

SP - 69

EP - 76

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 2

ER -

Exponential convergence of recursive least squares with exponential forgetting factor -adaptive control

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