Robust stabilization of interval plant family using H∞-optimization technique

Dahua Xie; Kan Li; Qinghe Wu

Robust stabilization of interval plant family using H_∞-optimization technique

Dahua Xie^*, Kan Li, Qinghe Wu

^*Corresponding author for this work

School of Computer Science and Technology

Beijing Institute of Technology

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

Abstract

The robust stabilization problem (RSP) of interval plant family is considered. By representing the nominal plant with the normalized coprime factorization description, the RSP of interval plant family is converted to a particular H_∞ control problem. An analytical formula for calculating the parametric stability radius δ_max of the closed-loop system consisting of the interval plant family and the H_∞ controller is given. Using δ_max, the stability margin ε_IP of the closed-loop system, described in terms of the H_∞-norm of the uncertain factors in the NCF description, is calculated. Numerical example shows that ε_IP is larger than the stability margin of the general unstructured uncertainties case.

Original language	English
Pages (from-to)	1975-1979
Number of pages	5
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	2
Publication status	Published - 2001
Event	40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States Duration: 4 Dec 2001 → 7 Dec 2001

Keywords

H control
Interval plant family
Normalized coprime factorization
Stability margin

Cite this

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title = "Robust stabilization of interval plant family using H∞-optimization technique",

abstract = "The robust stabilization problem (RSP) of interval plant family is considered. By representing the nominal plant with the normalized coprime factorization description, the RSP of interval plant family is converted to a particular H∞ control problem. An analytical formula for calculating the parametric stability radius δmax of the closed-loop system consisting of the interval plant family and the H∞ controller is given. Using δmax, the stability margin εIP of the closed-loop system, described in terms of the H∞-norm of the uncertain factors in the NCF description, is calculated. Numerical example shows that εIP is larger than the stability margin of the general unstructured uncertainties case.",

keywords = "H control, Interval plant family, Normalized coprime factorization, Stability margin",

author = "Dahua Xie and Kan Li and Qinghe Wu",

year = "2001",

language = "English",

volume = "2",

pages = "1975--1979",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0743-1546",

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note = "40th IEEE Conference on Decision and Control (CDC) ; Conference date: 04-12-2001 Through 07-12-2001",

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TY - JOUR

T1 - Robust stabilization of interval plant family using H∞-optimization technique

AU - Xie, Dahua

AU - Li, Kan

AU - Wu, Qinghe

PY - 2001

Y1 - 2001

N2 - The robust stabilization problem (RSP) of interval plant family is considered. By representing the nominal plant with the normalized coprime factorization description, the RSP of interval plant family is converted to a particular H∞ control problem. An analytical formula for calculating the parametric stability radius δmax of the closed-loop system consisting of the interval plant family and the H∞ controller is given. Using δmax, the stability margin εIP of the closed-loop system, described in terms of the H∞-norm of the uncertain factors in the NCF description, is calculated. Numerical example shows that εIP is larger than the stability margin of the general unstructured uncertainties case.

AB - The robust stabilization problem (RSP) of interval plant family is considered. By representing the nominal plant with the normalized coprime factorization description, the RSP of interval plant family is converted to a particular H∞ control problem. An analytical formula for calculating the parametric stability radius δmax of the closed-loop system consisting of the interval plant family and the H∞ controller is given. Using δmax, the stability margin εIP of the closed-loop system, described in terms of the H∞-norm of the uncertain factors in the NCF description, is calculated. Numerical example shows that εIP is larger than the stability margin of the general unstructured uncertainties case.

KW - H control

KW - Interval plant family

KW - Normalized coprime factorization

KW - Stability margin

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M3 - Conference article

AN - SCOPUS:0035709074

SN - 0743-1546

VL - 2

SP - 1975

EP - 1979

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - 40th IEEE Conference on Decision and Control (CDC)

Y2 - 4 December 2001 through 7 December 2001

ER -

Robust stabilization of interval plant family using H_∞-optimization technique

Abstract

Keywords

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