Fuzzy-model-based admissibility analysis and output feedback control for nonlinear discrete-time systems with time-varying delay

Jian Chen; Chong Lin; Bing Chen; Qing Guo Wang

doi:10.1016/j.ins.2017.05.040

Fuzzy-model-based admissibility analysis and output feedback control for nonlinear discrete-time systems with time-varying delay

Jian Chen, Chong Lin, Bing Chen, Qing Guo Wang

Electrical and Electronic Engineering Science

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

23 Citations (Scopus)

Abstract

This paper is concerned with the admissibility analysis and stabilization problems for singular fuzzy discrete-time systems with time-varying delay. The novelty of this paper comes from the consideration of a new summation inequality which is less conservative than the usual Jensen inequality, the Abel-Lemma based inequality and the Seuret inequality. Based on the inequality, sufficient conditions are established to ensure the systems to be admissible. Moreover, the corresponding conditions for the existence of desired static output feedback controller gains are derived to guarantee that the closed-loop system is admissible. The conditions can be solved by a modified cone complementarity linearization (CCL) algorithm. Examples are given to show the effectiveness of the proposed method.

Original language	English
Pages (from-to)	116-131
Number of pages	16
Journal	Information Sciences
Volume	412-413
DOIs	https://doi.org/10.1016/j.ins.2017.05.040
Publication status	Published - Oct 2017

Keywords

Admissibility
Discrete-time system
Static output feedback
T-S fuzzy model
Time-delay

ASJC Scopus subject areas

Software
Control and Systems Engineering
Theoretical Computer Science
Computer Science Applications
Information Systems and Management
Artificial Intelligence

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10.1016/j.ins.2017.05.040

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title = "Fuzzy-model-based admissibility analysis and output feedback control for nonlinear discrete-time systems with time-varying delay",

abstract = "This paper is concerned with the admissibility analysis and stabilization problems for singular fuzzy discrete-time systems with time-varying delay. The novelty of this paper comes from the consideration of a new summation inequality which is less conservative than the usual Jensen inequality, the Abel-Lemma based inequality and the Seuret inequality. Based on the inequality, sufficient conditions are established to ensure the systems to be admissible. Moreover, the corresponding conditions for the existence of desired static output feedback controller gains are derived to guarantee that the closed-loop system is admissible. The conditions can be solved by a modified cone complementarity linearization (CCL) algorithm. Examples are given to show the effectiveness of the proposed method.",

keywords = "Admissibility, Discrete-time system, Static output feedback, T-S fuzzy model, Time-delay",

author = "Jian Chen and Chong Lin and Bing Chen and Wang, {Qing Guo}",

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year = "2017",

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AU - Chen, Jian

AU - Lin, Chong

AU - Chen, Bing

AU - Wang, Qing Guo

PY - 2017/10

Y1 - 2017/10

N2 - This paper is concerned with the admissibility analysis and stabilization problems for singular fuzzy discrete-time systems with time-varying delay. The novelty of this paper comes from the consideration of a new summation inequality which is less conservative than the usual Jensen inequality, the Abel-Lemma based inequality and the Seuret inequality. Based on the inequality, sufficient conditions are established to ensure the systems to be admissible. Moreover, the corresponding conditions for the existence of desired static output feedback controller gains are derived to guarantee that the closed-loop system is admissible. The conditions can be solved by a modified cone complementarity linearization (CCL) algorithm. Examples are given to show the effectiveness of the proposed method.

AB - This paper is concerned with the admissibility analysis and stabilization problems for singular fuzzy discrete-time systems with time-varying delay. The novelty of this paper comes from the consideration of a new summation inequality which is less conservative than the usual Jensen inequality, the Abel-Lemma based inequality and the Seuret inequality. Based on the inequality, sufficient conditions are established to ensure the systems to be admissible. Moreover, the corresponding conditions for the existence of desired static output feedback controller gains are derived to guarantee that the closed-loop system is admissible. The conditions can be solved by a modified cone complementarity linearization (CCL) algorithm. Examples are given to show the effectiveness of the proposed method.

KW - Admissibility

KW - Discrete-time system

KW - Static output feedback

KW - T-S fuzzy model

KW - Time-delay

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M3 - Article

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EP - 131

JO - Information Sciences

JF - Information Sciences

ER -

Fuzzy-model-based admissibility analysis and output feedback control for nonlinear discrete-time systems with time-varying delay

Abstract

Keywords

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