Saturated feedback stabilization of discrete-time descriptor bilinear systems

Guoping Lu; Gang Feng; Zhong Ping Jiang

doi:10.1109/TAC.2007.904282

Saturated feedback stabilization of discrete-time descriptor bilinear systems

Guoping Lu, Gang Feng, Zhong Ping Jiang

Electrical and Computer Engineering

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

Abstract

This note addresses global asymptotic stabilization of a class of discrete-time descriptor bilinear systems via a saturated state feedback controller. Based on LaSalle invariance principle and the implicit function theorem, sufficient conditions are presented to guarantee the uniqueness and existence of solution and the global asymptotic stability of the resulting closed-loop systems simultaneously. It is shown that the condition is independent of the state transformation for the given descriptor systems. Furthermore, the effectiveness of the proposed design method is illustrated by a numerical example.

Original language	English (US)
Pages (from-to)	1700-1704
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	52
Issue number	9
DOIs	https://doi.org/10.1109/TAC.2007.904282
State	Published - Sep 2007

Keywords

Discrete-time bilinear descriptor systems
Global asymptotic stabilization
Saturated controller
State feedback

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.2007.904282

Cite this

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title = "Saturated feedback stabilization of discrete-time descriptor bilinear systems",

abstract = "This note addresses global asymptotic stabilization of a class of discrete-time descriptor bilinear systems via a saturated state feedback controller. Based on LaSalle invariance principle and the implicit function theorem, sufficient conditions are presented to guarantee the uniqueness and existence of solution and the global asymptotic stability of the resulting closed-loop systems simultaneously. It is shown that the condition is independent of the state transformation for the given descriptor systems. Furthermore, the effectiveness of the proposed design method is illustrated by a numerical example.",

keywords = "Discrete-time bilinear descriptor systems, Global asymptotic stabilization, Saturated controller, State feedback",

author = "Guoping Lu and Gang Feng and Jiang, {Zhong Ping}",

note = "Funding Information: Manuscript received May 17, 2006; revised February 27, 2007. Recommended by Associate Editor A. Astolfi. This work was supported in part by the National Natural Science Foundation of China under Grants 60474076 and 60574006, NSF Grant BK2007061, and in part by the National Science Foundation under Grants ECS-0093176, OISE-0408925, and DMS-0504462.",

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N2 - This note addresses global asymptotic stabilization of a class of discrete-time descriptor bilinear systems via a saturated state feedback controller. Based on LaSalle invariance principle and the implicit function theorem, sufficient conditions are presented to guarantee the uniqueness and existence of solution and the global asymptotic stability of the resulting closed-loop systems simultaneously. It is shown that the condition is independent of the state transformation for the given descriptor systems. Furthermore, the effectiveness of the proposed design method is illustrated by a numerical example.

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Saturated feedback stabilization of discrete-time descriptor bilinear systems

Abstract

Keywords

ASJC Scopus subject areas

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