Networked active vibration control of structural systems: A nonsmall input delay approach

Author:

Yang Yanping1,Zhang Dawei2ORCID,Han Qing-Long13

Affiliation:

1. School of Mechatronic Engineering and Automation, Shanghai University, People’s Republic of China

2. School of Mathematical Sciences, Shanxi University, People’s Republic of China

3. School of Software and Electrical Engineering, Swinburne University of Technology, Australia

Abstract

This paper investigates the networked active vibration control for a multi-degree-of-freedom structural system subject to modeling uncertainties, stochastic sensor faults, and earthquake excitations. By adopting a positive velocity feedback controller and introducing a communication network that produces proper network-induced delays and packet dropouts in the feedback control loop, the closed-loop system is first modeled by an uncertain stochastic system with a nonsmall interval time-varying input delay. Then a delay-dependent criterion is derived by employing a complete Lyapunov–Krasovskii functional such that the stochastic system with the proper nonzero input delay is stochastically stable with L2-gain performance, but unstable without delay. An iterative algorithm is presented to design the networked controller. A three-storey shear-beam building model subject to the El Centro 1940 earthquake is given to validate the proposed approach.

Publisher

SAGE Publications

Subject

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

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