Robust H∞ performance analysis and synthesis of discrete-time LPV systems

S. M. Lee; Ju H. Park

doi:10.1007/s12190-007-0032-1

Robust H_∞ performance analysis and synthesis of discrete-time LPV systems

S. M. Lee
, Ju H. Park

School of Electronics Engineering

Yeungnam University

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

8 Scopus citations

Abstract

We propose a less conservative linear matrix inequalities (LMIs) condition for H_∞ performance analysis and synthesis of discrete-time linear parameter varying (LPV) systems. The time varying parameter is represented by a linear fractional form. Sufficient conditions for H _∞ performance and controller synthesis are given in terms of a finite number of LMIs using parameter dependent Lyapunov functions.

Original language	English
Pages (from-to)	419-432
Number of pages	14
Journal	Journal of Applied Mathematics and Computing
Volume	26
Issue number	1-2
DOIs	https://doi.org/10.1007/s12190-007-0032-1
State	Published - Feb 2008

Keywords

Discrete time LPV systems
LMI
Parameter dependent Lyapunov functions

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10.1007/s12190-007-0032-1

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abstract = "We propose a less conservative linear matrix inequalities (LMIs) condition for H∞ performance analysis and synthesis of discrete-time linear parameter varying (LPV) systems. The time varying parameter is represented by a linear fractional form. Sufficient conditions for H ∞ performance and controller synthesis are given in terms of a finite number of LMIs using parameter dependent Lyapunov functions.",

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AU - Park, Ju H.

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N2 - We propose a less conservative linear matrix inequalities (LMIs) condition for H∞ performance analysis and synthesis of discrete-time linear parameter varying (LPV) systems. The time varying parameter is represented by a linear fractional form. Sufficient conditions for H ∞ performance and controller synthesis are given in terms of a finite number of LMIs using parameter dependent Lyapunov functions.

AB - We propose a less conservative linear matrix inequalities (LMIs) condition for H∞ performance analysis and synthesis of discrete-time linear parameter varying (LPV) systems. The time varying parameter is represented by a linear fractional form. Sufficient conditions for H ∞ performance and controller synthesis are given in terms of a finite number of LMIs using parameter dependent Lyapunov functions.

KW - Discrete time LPV systems

KW - LMI

KW - Parameter dependent Lyapunov functions

UR - https://www.scopus.com/pages/publications/49249110453

U2 - 10.1007/s12190-007-0032-1

DO - 10.1007/s12190-007-0032-1

M3 - Article

AN - SCOPUS:49249110453

SN - 1598-5865

VL - 26

SP - 419

EP - 432

JO - Journal of Applied Mathematics and Computing

JF - Journal of Applied Mathematics and Computing

IS - 1-2

ER -

Robust H_∞ performance analysis and synthesis of discrete-time LPV systems

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Keywords

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