DISSIPATIVITY ANALYSIS OF STOCHASTIC LINEAR PARAMETER VARYING SYSTEMS

Wensheng Luo; Baining Fu; Qinzhe Xu; Jinqian Du; Zilin Wang

doi:10.24507/ijicic.19.02.513

DISSIPATIVITY ANALYSIS OF STOCHASTIC LINEAR PARAMETER VARYING SYSTEMS

Wensheng Luo^*
, Baining Fu
, Qinzhe Xu
, Jinqian Du
, Zilin Wang

^*Corresponding author for this work

School of Electrical Engineering and Automation, Harbin Institute of Technology
School of Astronautics, Harbin Institute of Technology

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

1 Scopus citations

Abstract

This paper is concerned with the dissipativity analysis of linear parameter varying (LPV) system under stochastic perturbation. Two types of dissipativity are inves-tigated: passivity and a more generalized form of dissipativity. With the use of parameter dependent Lyapunov functions, parameter dependent sufficient conditions are proposed and the corresponding controllers are designed to meet the requirements of dissipativity. Numerical examples are provided to illustrate the effectiveness of the proposed theories.

Original language	English
Pages (from-to)	513-522
Number of pages	10
Journal	International Journal of Innovative Computing, Information and Control
Volume	19
Issue number	2
DOIs	https://doi.org/10.24507/ijicic.19.02.513
State	Published - Apr 2023
Externally published	Yes

Keywords

Dissipativity analysis
Linear parameter varying system
Parameter dependent Lyapunov functions
State feedback controller
Stochastic sys-tems

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10.24507/ijicic.19.02.513

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abstract = "This paper is concerned with the dissipativity analysis of linear parameter varying (LPV) system under stochastic perturbation. Two types of dissipativity are inves-tigated: passivity and a more generalized form of dissipativity. With the use of parameter dependent Lyapunov functions, parameter dependent sufficient conditions are proposed and the corresponding controllers are designed to meet the requirements of dissipativity. Numerical examples are provided to illustrate the effectiveness of the proposed theories.",

keywords = "Dissipativity analysis, Linear parameter varying system, Parameter dependent Lyapunov functions, State feedback controller, Stochastic sys-tems",

author = "Wensheng Luo and Baining Fu and Qinzhe Xu and Jinqian Du and Zilin Wang",

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AU - Du, Jinqian

AU - Wang, Zilin

PY - 2023/4

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N2 - This paper is concerned with the dissipativity analysis of linear parameter varying (LPV) system under stochastic perturbation. Two types of dissipativity are inves-tigated: passivity and a more generalized form of dissipativity. With the use of parameter dependent Lyapunov functions, parameter dependent sufficient conditions are proposed and the corresponding controllers are designed to meet the requirements of dissipativity. Numerical examples are provided to illustrate the effectiveness of the proposed theories.

AB - This paper is concerned with the dissipativity analysis of linear parameter varying (LPV) system under stochastic perturbation. Two types of dissipativity are inves-tigated: passivity and a more generalized form of dissipativity. With the use of parameter dependent Lyapunov functions, parameter dependent sufficient conditions are proposed and the corresponding controllers are designed to meet the requirements of dissipativity. Numerical examples are provided to illustrate the effectiveness of the proposed theories.

KW - Dissipativity analysis

KW - Linear parameter varying system

KW - Parameter dependent Lyapunov functions

KW - State feedback controller

KW - Stochastic sys-tems

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U2 - 10.24507/ijicic.19.02.513

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JO - International Journal of Innovative Computing, Information and Control

JF - International Journal of Innovative Computing, Information and Control

IS - 2

ER -

DISSIPATIVITY ANALYSIS OF STOCHASTIC LINEAR PARAMETER VARYING SYSTEMS

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Keywords

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