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

2 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

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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)

Cite this

Chang, Y., Fu, B., & Zhai, G. (2018). Quadratic Stabilization of Switched Uncertain Linear Systems. In Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018 (pp. 4727-4731). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC.2018.8407949

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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.",

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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.

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KW - Switched linear systems (SLS)

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

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Access to Document

10.1109/CCDC.2018.8407949