Dual self-tuning parameter-robust minimax output regulation of a first-order process with ellipsoidal uncertainty

P. Lohnberg; Jan W. Polderman; R. Eisenberg

doi:10.1016/S1474-6670(17)43043-6

Dual self-tuning parameter-robust minimax output regulation of a first-order process with ellipsoidal uncertainty

P. Lohnberg^*, Jan W. Polderman, R. Eisenberg

^*Corresponding author for this work

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

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Abstract

The parameters of a first-order process with known disturbance bounds are known to lie in an ellipsoidal region. At each sample, a static output feedback is designed which minimizes the maximum absolute output over the disturbance and parameter ranges. Then from the resulting measurements, the ellipsoid is updated according to a specific criterion. This criterion should be chosen for adequate performance of the resulting selftuning regulator. It is shown that a dual criterion minimizing a weighted sum of ellipsoidal volume and control performance outperforms these separate criteria.

Original language	English
Pages (from-to)	1489-1494
Number of pages	6
Journal	IFAC proceedings volumes
Volume	30
Issue number	11
DOIs	https://doi.org/10.1016/S1474-6670(17)43043-6
Publication status	Published - 8 Jul 1997
Event	IFAC Symposium on System Identification, SYSID 1997 - Kitakyushu, Fukuoka, Japan Duration: 8 Jul 1997 → 11 Jul 1997

Keywords

Self-tuning regulator
Bounded disturbance
Constrained parameters
Membership functions
Robust control
Closed-loop identification
Optimal estimation
Duality
Convergence analysis

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10.1016/S1474-6670(17)43043-6

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title = "Dual self-tuning parameter-robust minimax output regulation of a first-order process with ellipsoidal uncertainty",

abstract = "The parameters of a first-order process with known disturbance bounds are known to lie in an ellipsoidal region. At each sample, a static output feedback is designed which minimizes the maximum absolute output over the disturbance and parameter ranges. Then from the resulting measurements, the ellipsoid is updated according to a specific criterion. This criterion should be chosen for adequate performance of the resulting selftuning regulator. It is shown that a dual criterion minimizing a weighted sum of ellipsoidal volume and control performance outperforms these separate criteria.",

keywords = "Self-tuning regulator, Bounded disturbance, Constrained parameters, Membership functions, Robust control, Closed-loop identification, Optimal estimation, Duality, Convergence analysis",

author = "P. Lohnberg and Polderman, {Jan W.} and R. Eisenberg",

year = "1997",

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doi = "10.1016/S1474-6670(17)43043-6",

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pages = "1489--1494",

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TY - JOUR

T1 - Dual self-tuning parameter-robust minimax output regulation of a first-order process with ellipsoidal uncertainty

AU - Lohnberg, P.

AU - Polderman, Jan W.

AU - Eisenberg, R.

PY - 1997/7/8

Y1 - 1997/7/8

N2 - The parameters of a first-order process with known disturbance bounds are known to lie in an ellipsoidal region. At each sample, a static output feedback is designed which minimizes the maximum absolute output over the disturbance and parameter ranges. Then from the resulting measurements, the ellipsoid is updated according to a specific criterion. This criterion should be chosen for adequate performance of the resulting selftuning regulator. It is shown that a dual criterion minimizing a weighted sum of ellipsoidal volume and control performance outperforms these separate criteria.

AB - The parameters of a first-order process with known disturbance bounds are known to lie in an ellipsoidal region. At each sample, a static output feedback is designed which minimizes the maximum absolute output over the disturbance and parameter ranges. Then from the resulting measurements, the ellipsoid is updated according to a specific criterion. This criterion should be chosen for adequate performance of the resulting selftuning regulator. It is shown that a dual criterion minimizing a weighted sum of ellipsoidal volume and control performance outperforms these separate criteria.

KW - Self-tuning regulator

KW - Bounded disturbance

KW - Constrained parameters

KW - Membership functions

KW - Robust control

KW - Closed-loop identification

KW - Optimal estimation

KW - Duality

KW - Convergence analysis

U2 - 10.1016/S1474-6670(17)43043-6

DO - 10.1016/S1474-6670(17)43043-6

M3 - Conference article

SN - 1474-6670

VL - 30

SP - 1489

EP - 1494

JO - IFAC proceedings volumes

JF - IFAC proceedings volumes

IS - 11

T2 - IFAC Symposium on System Identification, SYSID 1997

Y2 - 8 July 1997 through 11 July 1997

ER -

Dual self-tuning parameter-robust minimax output regulation of a first-order process with ellipsoidal uncertainty

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Keywords

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