New robust adaptive control system using multiple regularization parameters

H. Ohmori; A. Sano

doi:10.1109/cdc.1990.204009

New robust adaptive control system using multiple regularization parameters

H. Ohmori, A. Sano

Department of System Design Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

The design of a discrete-time model reference robust adaptive control system for a plant in the presence of bounded disturbances is investigated. The system uses a robust adaptive algorithm with multiple regularization parameters. This algorithm belongs to the class of leaky integration methods; thus the designed regularization parameters correspond to σ in the σ-modification approach. It is shown how to determine these regularization parameters theoretically such that minimization of the parameter error is attained in the presence of the disturbances, and it is not necessary for the upper bound of the disturbances to be known a priori. Furthermore, persistent spanning is ensured, regardless of the size of the disturbance.

Original language	English
Pages (from-to)	2163-2169
Number of pages	7
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	4
DOIs	https://doi.org/10.1109/cdc.1990.204009
Publication status	Published - 1990 Jan 1
Event	Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6) - Honolulu, HI, USA Duration: 1990 Dec 5 → 1990 Dec 7

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

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10.1109/cdc.1990.204009

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title = "New robust adaptive control system using multiple regularization parameters",

abstract = "The design of a discrete-time model reference robust adaptive control system for a plant in the presence of bounded disturbances is investigated. The system uses a robust adaptive algorithm with multiple regularization parameters. This algorithm belongs to the class of leaky integration methods; thus the designed regularization parameters correspond to σ in the σ-modification approach. It is shown how to determine these regularization parameters theoretically such that minimization of the parameter error is attained in the presence of the disturbances, and it is not necessary for the upper bound of the disturbances to be known a priori. Furthermore, persistent spanning is ensured, regardless of the size of the disturbance.",

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AU - Sano, A.

PY - 1990/1/1

Y1 - 1990/1/1

N2 - The design of a discrete-time model reference robust adaptive control system for a plant in the presence of bounded disturbances is investigated. The system uses a robust adaptive algorithm with multiple regularization parameters. This algorithm belongs to the class of leaky integration methods; thus the designed regularization parameters correspond to σ in the σ-modification approach. It is shown how to determine these regularization parameters theoretically such that minimization of the parameter error is attained in the presence of the disturbances, and it is not necessary for the upper bound of the disturbances to be known a priori. Furthermore, persistent spanning is ensured, regardless of the size of the disturbance.

AB - The design of a discrete-time model reference robust adaptive control system for a plant in the presence of bounded disturbances is investigated. The system uses a robust adaptive algorithm with multiple regularization parameters. This algorithm belongs to the class of leaky integration methods; thus the designed regularization parameters correspond to σ in the σ-modification approach. It is shown how to determine these regularization parameters theoretically such that minimization of the parameter error is attained in the presence of the disturbances, and it is not necessary for the upper bound of the disturbances to be known a priori. Furthermore, persistent spanning is ensured, regardless of the size of the disturbance.

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DO - 10.1109/cdc.1990.204009

M3 - Conference article

AN - SCOPUS:0025559775

SN - 0191-2216

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SP - 2163

EP - 2169

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6)

Y2 - 5 December 1990 through 7 December 1990

ER -

New robust adaptive control system using multiple regularization parameters

Abstract

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