Quadratic Stabilization of Switched Uncertain Linear Systems

Yufang Chang; Bo Fu; Guisheng Zhai

doi:10.1109/CCDC.2018.8407949

Quadratic Stabilization of Switched Uncertain Linear Systems

Yufang Chang, Bo Fu, Guisheng Zhai

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

3 Citations (Scopus)

Abstract

We consider quadratic stabilization for switched systems which are composed of a finite set of linear sub-systems with norm bounded uncertainties. Assuming that no single subsystem has desired quadratic stability, we show that if a convex combination of subsystems is quadratically stable, then we can design a state-dependent switching law, based on the convex combination of subsystems, such that the entire switched system is quadratically stable. When the state information is not available, we extend the discussion to design an output-dependent switching law by constructing a robust Luenberger observer.

Original language	English
Title of host publication	Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4727-4731
Number of pages	5
ISBN (Electronic)	9781538612439
DOIs	https://doi.org/10.1109/CCDC.2018.8407949
Publication status	Published - 2018 Jul 6
Event	30th Chinese Control and Decision Conference, CCDC 2018 - Shenyang, China Duration: 2018 Jun 9 → 2018 Jun 11

Other

Other	30th Chinese Control and Decision Conference, CCDC 2018
Country	China
City	Shenyang
Period	18/6/9 → 18/6/11

Keywords

convex combination
LMIs
norm bounded uncertainties
output-dependent switching
quadratic stabilization
state-dependent switching
Switched linear systems (SLS)

ASJC Scopus subject areas

Artificial Intelligence
Computer Science Applications
Control and Optimization
Decision Sciences (miscellaneous)

Access to Document

10.1109/CCDC.2018.8407949

Fingerprint Dive into the research topics of 'Quadratic Stabilization of Switched Uncertain Linear Systems'. Together they form a unique fingerprint.

Cite this

@inproceedings{7dccad958175404e8a6183088251a01e,

title = "Quadratic Stabilization of Switched Uncertain Linear Systems",

abstract = "We consider quadratic stabilization for switched systems which are composed of a finite set of linear sub-systems with norm bounded uncertainties. Assuming that no single subsystem has desired quadratic stability, we show that if a convex combination of subsystems is quadratically stable, then we can design a state-dependent switching law, based on the convex combination of subsystems, such that the entire switched system is quadratically stable. When the state information is not available, we extend the discussion to design an output-dependent switching law by constructing a robust Luenberger observer.",

keywords = "convex combination, LMIs, norm bounded uncertainties, output-dependent switching, quadratic stabilization, state-dependent switching, Switched linear systems (SLS)",

author = "Yufang Chang and Bo Fu and Guisheng Zhai",

year = "2018",

month = jul,

day = "6",

doi = "10.1109/CCDC.2018.8407949",

language = "English",

pages = "4727--4731",

booktitle = "Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "30th Chinese Control and Decision Conference, CCDC 2018 ; Conference date: 09-06-2018 Through 11-06-2018",

}

TY - GEN

T1 - Quadratic Stabilization of Switched Uncertain Linear Systems

AU - Chang, Yufang

AU - Fu, Bo

AU - Zhai, Guisheng

PY - 2018/7/6

Y1 - 2018/7/6

N2 - We consider quadratic stabilization for switched systems which are composed of a finite set of linear sub-systems with norm bounded uncertainties. Assuming that no single subsystem has desired quadratic stability, we show that if a convex combination of subsystems is quadratically stable, then we can design a state-dependent switching law, based on the convex combination of subsystems, such that the entire switched system is quadratically stable. When the state information is not available, we extend the discussion to design an output-dependent switching law by constructing a robust Luenberger observer.

AB - We consider quadratic stabilization for switched systems which are composed of a finite set of linear sub-systems with norm bounded uncertainties. Assuming that no single subsystem has desired quadratic stability, we show that if a convex combination of subsystems is quadratically stable, then we can design a state-dependent switching law, based on the convex combination of subsystems, such that the entire switched system is quadratically stable. When the state information is not available, we extend the discussion to design an output-dependent switching law by constructing a robust Luenberger observer.

KW - convex combination

KW - LMIs

KW - norm bounded uncertainties

KW - output-dependent switching

KW - quadratic stabilization

KW - state-dependent switching

KW - Switched linear systems (SLS)

UR - http://www.scopus.com/inward/record.url?scp=85050868891&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85050868891&partnerID=8YFLogxK

U2 - 10.1109/CCDC.2018.8407949

DO - 10.1109/CCDC.2018.8407949

M3 - Conference contribution

AN - SCOPUS:85050868891

SP - 4727

EP - 4731

BT - Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 30th Chinese Control and Decision Conference, CCDC 2018

Y2 - 9 June 2018 through 11 June 2018

ER -