Global Adaptive Pole Placement: Detailed Analysis of a First-Order System

Richard M. Johnstone; Brian D.O. Anderson

doi:10.1109/TAC.1983.1103335

Global Adaptive Pole Placement: Detailed Analysis of a First-Order System

Richard M. Johnstone
, Brian D.O. Anderson

School of Engineering

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

5 Citations (Scopus)

Abstract

This paper studies a deterministic adaptive pole positioning problem for a linear first-order system. The principal contribution is to specify an adaptive control law which secures global convergence. The key-conditions required are that an externally available plant input be persistently exciting, and that an underbound (not necessarily tight) be known on the magnitude of the input coupling gain. The pattern of the solution to the problem can carry over to high-order systems.

Original language	English
Pages (from-to)	852-855
Number of pages	4
Journal	IEEE Transactions on Automatic Control
Volume	28
Issue number	8
DOIs	https://doi.org/10.1109/TAC.1983.1103335
Publication status	Published - Aug 1983

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10.1109/TAC.1983.1103335

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title = "Global Adaptive Pole Placement: Detailed Analysis of a First-Order System",

abstract = "This paper studies a deterministic adaptive pole positioning problem for a linear first-order system. The principal contribution is to specify an adaptive control law which secures global convergence. The key-conditions required are that an externally available plant input be persistently exciting, and that an underbound (not necessarily tight) be known on the magnitude of the input coupling gain. The pattern of the solution to the problem can carry over to high-order systems.",

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N2 - This paper studies a deterministic adaptive pole positioning problem for a linear first-order system. The principal contribution is to specify an adaptive control law which secures global convergence. The key-conditions required are that an externally available plant input be persistently exciting, and that an underbound (not necessarily tight) be known on the magnitude of the input coupling gain. The pattern of the solution to the problem can carry over to high-order systems.

AB - This paper studies a deterministic adaptive pole positioning problem for a linear first-order system. The principal contribution is to specify an adaptive control law which secures global convergence. The key-conditions required are that an externally available plant input be persistently exciting, and that an underbound (not necessarily tight) be known on the magnitude of the input coupling gain. The pattern of the solution to the problem can carry over to high-order systems.

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DO - 10.1109/TAC.1983.1103335

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SP - 852

EP - 855

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

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ER -

Global Adaptive Pole Placement: Detailed Analysis of a First-Order System

Abstract

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