Robust H∞ controller design for a class of uncertain systems

Lei Guo; Chunbo Feng

doi:10.1007/bf02919685

Robust H^∞ controller design for a class of uncertain systems

Lei Guo^*
, Chunbo Feng

^*Corresponding author for this work

Southeast University, Nanjing

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

3 Scopus citations

Abstract

The H^∞ control problem for a class of systems with time-varying and nonlinear uncertainties is considered. A new sufficient condition based on LMI is provided to judge their robust stability and L₂-gain finiteness. Solvability conditions are presented for both state feedback and output feedback cases, which are all reduced to solutions of LMIs. The design procedure is also discussed via LMI approach.

Original language	English
Pages (from-to)	208-214
Number of pages	7
Journal	Science in China, Series E: Technological Sciences
Volume	41
Issue number	2
DOIs	https://doi.org/10.1007/bf02919685
State	Published - 1998
Externally published	Yes

Keywords

H control
Linear matrix inequality
Robust control

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10.1007/bf02919685

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title = "Robust H∞ controller design for a class of uncertain systems",

abstract = "The H∞ control problem for a class of systems with time-varying and nonlinear uncertainties is considered. A new sufficient condition based on LMI is provided to judge their robust stability and L2-gain finiteness. Solvability conditions are presented for both state feedback and output feedback cases, which are all reduced to solutions of LMIs. The design procedure is also discussed via LMI approach.",

keywords = "H control, Linear matrix inequality, Robust control",

author = "Lei Guo and Chunbo Feng",

year = "1998",

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T1 - Robust H∞ controller design for a class of uncertain systems

AU - Guo, Lei

AU - Feng, Chunbo

PY - 1998

Y1 - 1998

N2 - The H∞ control problem for a class of systems with time-varying and nonlinear uncertainties is considered. A new sufficient condition based on LMI is provided to judge their robust stability and L2-gain finiteness. Solvability conditions are presented for both state feedback and output feedback cases, which are all reduced to solutions of LMIs. The design procedure is also discussed via LMI approach.

AB - The H∞ control problem for a class of systems with time-varying and nonlinear uncertainties is considered. A new sufficient condition based on LMI is provided to judge their robust stability and L2-gain finiteness. Solvability conditions are presented for both state feedback and output feedback cases, which are all reduced to solutions of LMIs. The design procedure is also discussed via LMI approach.

KW - H control

KW - Linear matrix inequality

KW - Robust control

UR - https://www.scopus.com/pages/publications/17444433791

U2 - 10.1007/bf02919685

DO - 10.1007/bf02919685

M3 - 文章

AN - SCOPUS:17444433791

SN - 1006-9321

VL - 41

SP - 208

EP - 214

JO - Science in China, Series E: Technological Sciences

JF - Science in China, Series E: Technological Sciences

IS - 2

ER -

Robust H^∞ controller design for a class of uncertain systems

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Keywords

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