Control of uncertain bilinear systems using linear controllers: Stability region estimation and controller design

Shoudong Huang; James Lam

Control of uncertain bilinear systems using linear controllers: Stability region estimation and controller design

Shoudong Huang^*, James Lam

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

This paper studies the problem of stability region estimation and controller design for uncertain bilinear systems when linear controllers are used. Iterative linear matrix inequality (ILMI) algorithms are presented to estimate the closed-loop stability region and design the controllers. No tuning of parameters is needed in the design methods. The design aims to optimize between the size of the stability region, damping of the state variables, and the feedback gain.

Original language	English
Pages (from-to)	662-667
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	1
Publication status	Published - 2002
Event	41st IEEE Conference on Decision and Control - Las Vegas, NV, United States Duration: 10 Dec 2002 → 13 Dec 2002

Cite this

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title = "Control of uncertain bilinear systems using linear controllers: Stability region estimation and controller design",

abstract = "This paper studies the problem of stability region estimation and controller design for uncertain bilinear systems when linear controllers are used. Iterative linear matrix inequality (ILMI) algorithms are presented to estimate the closed-loop stability region and design the controllers. No tuning of parameters is needed in the design methods. The design aims to optimize between the size of the stability region, damping of the state variables, and the feedback gain.",

author = "Shoudong Huang and James Lam",

year = "2002",

language = "English",

volume = "1",

pages = "662--667",

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

issn = "0743-1546",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "41st IEEE Conference on Decision and Control ; Conference date: 10-12-2002 Through 13-12-2002",

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T1 - Control of uncertain bilinear systems using linear controllers

T2 - 41st IEEE Conference on Decision and Control

AU - Huang, Shoudong

AU - Lam, James

PY - 2002

Y1 - 2002

N2 - This paper studies the problem of stability region estimation and controller design for uncertain bilinear systems when linear controllers are used. Iterative linear matrix inequality (ILMI) algorithms are presented to estimate the closed-loop stability region and design the controllers. No tuning of parameters is needed in the design methods. The design aims to optimize between the size of the stability region, damping of the state variables, and the feedback gain.

AB - This paper studies the problem of stability region estimation and controller design for uncertain bilinear systems when linear controllers are used. Iterative linear matrix inequality (ILMI) algorithms are presented to estimate the closed-loop stability region and design the controllers. No tuning of parameters is needed in the design methods. The design aims to optimize between the size of the stability region, damping of the state variables, and the feedback gain.

UR - http://www.scopus.com/inward/record.url?scp=0036993475&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0036993475

SN - 0743-1546

VL - 1

SP - 662

EP - 667

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

Y2 - 10 December 2002 through 13 December 2002

ER -

Control of uncertain bilinear systems using linear controllers: Stability region estimation and controller design

Abstract

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