New Robust Stability and Stabilizability Conditions for Linear Parameter Time Varying polytopic systems

被引：0

作者：

Aouani, N. ^{[1
]}

Salhi, S. ^{[1
]}

Garcia, G. ^{[2
]}

Ksouri, M. ^{[1
]}

机构：

[1] Natl Sch Engn Tunis, Res Unit Syst Anal & Control, BP 37, Tunis 1002, Le Belvedere, Tunisia

[2] Univ Toulouse 1, CNRS, LAAS, F-31042 Toulouse, France

来源：

2009 3RD INTERNATIONAL CONFERENCE ON SIGNALS, CIRCUITS AND SYSTEMS (SCS 2009) | 2009年

关键词：

LPV systems; polytopic uncertainty; robust control; synthesis; static state feedback; CONTROLLER SYNTHESIS; LYAPUNOV FUNCTIONS; LPV SYSTEMS;

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Uncertain Linear Parameter Varying (LPV) systems have a long history of interest in the control community. Those where uncertainties depend on time are more and more treated, for either analysis or design problems. The main issue for large part of them is how to represent the derivative of the time varying parameter. We give in this sense a novel representation of the time derivative of the parameter expressed itself under a polytopic structure. Based on that representation, new sufficient conditions for stability and stabilizability are derived, formulated in terms of LMIs parameterized through a real parameter a. A state feedback synthesis is investigated. The influence of the parameter alpha is highlighted by a numerical example. Its impact on the stabilizability's regions delimited by the plane is illustrated by a diagram at the end of the article.

引用

页码：817 / +

页数：2

共 50 条

[21] Lifted versions of robust D-stability and D-stabilisation conditions for uncertain polytopic linear systems [J].

Lee, D. H. ;

Park, J. B. ;

Joo, Y. H. ;

Lin, K. C. .

IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (01) :24-36

[22] ROBUST STABILIZATION OF PARAMETER VARYING TIME DELAY SYSTEMS BY SWITCHED CONTROLLERS [J].

Yan, Peng ;

Ozbay, Hitay ;

Sansal, Murat .

APPLIED AND COMPUTATIONAL MATHEMATICS, 2014, 13 (01) :31-45

[23] Robust L1 Model Reduction for Linear Parameter-Varying Systems with Parameter-Varying Delays [J].

Liang, Yan .

PROCEEDINGS OF THE 2017 2ND INTERNATIONAL CONFERENCE ON ELECTRICAL, CONTROL AND AUTOMATION ENGINEERING (ECAE 2017), 2017, 140 :148-152

[24] Simultaneous state and process fault estimation in linear parameter varying systems using robust quadratic parameter varying observers [J].

Rotondo, Damiano ;

Buciakowski, Mariusz ;

Witczak, Marcin .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (17) :8390-8407

[25] Robust state-feedback controller for linear parameter-varying systems with time-invariant uncertainties [J].

Asrari, H. ;

Mohammadzaman, I. ;

Allahverdizadeh, F. .

SCIENTIA IRANICA, 2023, 30 (03) :1148-1157

[26] LMI Conditions for the Stability of Linear Uncertain Polynomially Time-Varying Systems [J].

Jetto, Leopoldo ;

Orsini, Valentina .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (07) :1705-1709

[27] Robust multivariable PID control for linear parameter varying systems [J].

Mattei, M .

AUTOMATICA, 2001, 37 (12) :1997-2003

[28] Robust stability of polytopic systems via affine parameter-dependent Lyapunov functions [J].

Yang, Guang-Hong ;

Dong, Jiuxiang .

PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, :75-80

[29] Parameter dependent filter design for linear continuous-time uncertain systems with arbitrarily time-varying parameters in polytopic domains [J].

Aeinfar, Vahid ;

Askari, Javad ;

Sadeghzadeh, Arash ;

Mojiri, Mohsen .

SIGNAL PROCESSING, 2019, 165 :83-89

[30] ROBUST STABILITY OF POLYTOPIC SYSTEMS VIA AFFINE PARAMETER-DEPENDENT LYAPUNOV FUNCTIONS [J].

Yang, Guang-Hong ;

Dong, Jiuxiang .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 47 (05) :2642-2662

← 1 2 3 4 5 →