New exponential stability criterion for switched linear systems with average dwell time-Reference-Cited by-同舟云学术

New exponential stability criterion for switched linear systems with average dwell time

Published:2018-11-06 Issue:8 Volume:233 Page:935-944
ISSN:0959-6518
Container-title:Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering
language:en
Short-container-title:Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering

Author:

Gao Yi¹²^ORCID,Wen Jiwei¹,Peng Li¹

Affiliation:

1. Engineering Research Center of Internet of Things Technology Applications Ministry of Education, Jiangnan University, Wuxi, China

2. Jiangsu Provincial Sensor Network Engineering Technology Research Center, Wuxi Institute of Technology, Wuxi, China

Abstract

In this article, the partition of state space is investigated based on the average dwell time theory, and a novel switching condition is proposed. Under the switching condition and strategy, a switched system where all subsystems are unstable is globally exponentially stabilized. Compared with the existing literature, the conclusion is less conservative and more general. Consequently, the conditions appropriate for this exponential stability issue are derived and a computational procedure to solve the bilinear matrix inequality problems and admissible average dwell time is provided. Finally, two numerical examples are used to show the validity and effectiveness of the proposed methods.

Funder

Education Ministry and China Mobile Science Research Foundation: Video Big Data Analysis and c Interaction Technology Research

Jiangsu province “Application of IOT technology based on block chain and intelligent information” technology innovation team

Natural Science Foundation of the Jiangsu Higher Education Institutions

Publisher

SAGE Publications

Subject

Mechanical Engineering,Control and Systems Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/0959651818807607

Reference24 articles.

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2. Uniform exponential stability of periodic discrete switched linear system

3. Perspectives and results on the stability and stabilizability of hybrid systems

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5. Switched Controller Synthesis for the Quadratic Stabilisation of a Pair of Unstable Linear Systems

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