Robust stability, stabilization and L2-gain analysis of uncertain switched linear systems

Wei Ni; Xiaoli Wang

doi:10.1109/CCDC.2015.7162254

Robust stability, stabilization and L₂-gain analysis of uncertain switched linear systems

Wei Ni
, Xiaoli Wang

Nanchang University
School of Information Science and Engineering, Harbin Institute of Technology Weihai

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper considers the robust stability, stabilization and L₂-gain analysis of switched linear systems in the simultaneous presence of uncertainty and exogenous disturbance inside subsystems. State feedback and output feedback controllers, together with minimal dwell time (MDT) based switching signal, are designed to achieve the objective that, on the one hand, the closed-loop system without exogenous disturbance input is robustly asymptotically stable with respect to system uncertainty, and on the other hand, the closed-loop system with the presence of exogenous disturbance input has a pre-given L₂-gain with respect to the input-output relationship with the input be the exogenous disturbance and the output be the system's given quantities. The control synthesis is performed by means of linear matrix inequalities (LMIs), and thus it is numerically tractable.

Original language	English
Title of host publication	Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2025-2030
Number of pages	6
ISBN (Electronic)	9781479970179
DOIs	https://doi.org/10.1109/CCDC.2015.7162254
State	Published - 17 Jul 2015
Externally published	Yes
Event	27th Chinese Control and Decision Conference, CCDC 2015 - Qingdao, China Duration: 23 May 2015 → 25 May 2015

Publication series

Name	Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015

Conference

Conference	27th Chinese Control and Decision Conference, CCDC 2015
Country/Territory	China
City	Qingdao
Period	23/05/15 → 25/05/15

Keywords

L-gain
Switched linear systems
exogenous disturbance
linear matrix inequality
uncertainty

Access to Document

10.1109/CCDC.2015.7162254

Cite this

Ni, W., & Wang, X. (2015). Robust stability, stabilization and L₂-gain analysis of uncertain switched linear systems. In Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015 (pp. 2025-2030). Article 7162254 (Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC.2015.7162254

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title = "Robust stability, stabilization and L2-gain analysis of uncertain switched linear systems",

abstract = "This paper considers the robust stability, stabilization and L2-gain analysis of switched linear systems in the simultaneous presence of uncertainty and exogenous disturbance inside subsystems. State feedback and output feedback controllers, together with minimal dwell time (MDT) based switching signal, are designed to achieve the objective that, on the one hand, the closed-loop system without exogenous disturbance input is robustly asymptotically stable with respect to system uncertainty, and on the other hand, the closed-loop system with the presence of exogenous disturbance input has a pre-given L2-gain with respect to the input-output relationship with the input be the exogenous disturbance and the output be the system's given quantities. The control synthesis is performed by means of linear matrix inequalities (LMIs), and thus it is numerically tractable.",

keywords = "L-gain, Switched linear systems, exogenous disturbance, linear matrix inequality, uncertainty",

author = "Wei Ni and Xiaoli Wang",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 27th Chinese Control and Decision Conference, CCDC 2015 ; Conference date: 23-05-2015 Through 25-05-2015",

year = "2015",

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doi = "10.1109/CCDC.2015.7162254",

language = "英语",

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Ni, W & Wang, X 2015, Robust stability, stabilization and L₂-gain analysis of uncertain switched linear systems. in Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015., 7162254, Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015, Institute of Electrical and Electronics Engineers Inc., pp. 2025-2030, 27th Chinese Control and Decision Conference, CCDC 2015, Qingdao, China, 23/05/15. https://doi.org/10.1109/CCDC.2015.7162254

Robust stability, stabilization and L₂-gain analysis of uncertain switched linear systems. / Ni, Wei; Wang, Xiaoli.
Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 2025-2030 7162254 (Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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AU - Wang, Xiaoli

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N2 - This paper considers the robust stability, stabilization and L2-gain analysis of switched linear systems in the simultaneous presence of uncertainty and exogenous disturbance inside subsystems. State feedback and output feedback controllers, together with minimal dwell time (MDT) based switching signal, are designed to achieve the objective that, on the one hand, the closed-loop system without exogenous disturbance input is robustly asymptotically stable with respect to system uncertainty, and on the other hand, the closed-loop system with the presence of exogenous disturbance input has a pre-given L2-gain with respect to the input-output relationship with the input be the exogenous disturbance and the output be the system's given quantities. The control synthesis is performed by means of linear matrix inequalities (LMIs), and thus it is numerically tractable.

AB - This paper considers the robust stability, stabilization and L2-gain analysis of switched linear systems in the simultaneous presence of uncertainty and exogenous disturbance inside subsystems. State feedback and output feedback controllers, together with minimal dwell time (MDT) based switching signal, are designed to achieve the objective that, on the one hand, the closed-loop system without exogenous disturbance input is robustly asymptotically stable with respect to system uncertainty, and on the other hand, the closed-loop system with the presence of exogenous disturbance input has a pre-given L2-gain with respect to the input-output relationship with the input be the exogenous disturbance and the output be the system's given quantities. The control synthesis is performed by means of linear matrix inequalities (LMIs), and thus it is numerically tractable.

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KW - Switched linear systems

KW - exogenous disturbance

KW - linear matrix inequality

KW - uncertainty

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Ni W, Wang X. Robust stability, stabilization and L₂-gain analysis of uncertain switched linear systems. In Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 2025-2030. 7162254. (Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015). doi: 10.1109/CCDC.2015.7162254