On stability of SDOF systems with delayed position and velocity feedback-Reference-Cited by-同舟云学术

On stability of SDOF systems with delayed position and velocity feedback

Published:2022-06-05 Issue: Volume: Page:107754632211000
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

Hernández-Villa Luis¹,Melchor-Aguilar Daniel¹^ORCID

Affiliation:

1. Division of Control and Dynamical Systems, IPICYT, San Luis Potosi, SLP, México

Abstract

In this paper, we study the stability problem of a single-degree-of freedom system with delayed position and velocity feedback, which can be found in the modeling of several engineering problems in control and vibration. For this class of delay system, we derive some necessary and sufficient conditions for delay-dependent exponential stability. These conditions determine a region in the feedback gains space for assuring the delay-dependent exponential stability. We show how the results can be applied to control and delayed resonator (DR) problems.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

Link

http://journals.sagepub.com/doi/pdf/10.1177/10775463221100065

Reference22 articles.

1. Effect of fixed time delay on stability and performance of actively controlled civil engineering structures

2. Balancing the inverted pendulum using position feedback

3. Stability analysis of a squealing vibration model with time delay

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