Sampled-data-based vibration control for structural systems with finite-time state constraint and sensor outage

Falu Weng; Mingxin Liu; Weijie Mao; Yuanchun Ding; Feifei Liu

doi:10.1016/j.isatra.2018.04.021

Sampled-data-based vibration control for structural systems with finite-time state constraint and sensor outage

ISA Trans. 2018 Aug:79:83-94. doi: 10.1016/j.isatra.2018.04.021. Epub 2018 May 11.

Authors

Falu Weng¹, Mingxin Liu², Weijie Mao³, Yuanchun Ding⁴, Feifei Liu⁵

Affiliations

¹ Faculty of Electrical Engineering and Automation, Jiangxi University of Science and Technology, Ganzhou, Jiangxi, 341000, China. Electronic address: wengfalu@hotmail.com.
² School of Computer Science and Technology, Hangzhou Dianzi University, Hangzhou 310018, China.
³ State Key Lab of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, China.
⁴ School of Resources and Environmental Engineering, Jiangxi University of Science and Technology, Ganzhou, Jiangxi, 341000, China.
⁵ Faculty of Electrical Engineering and Automation, Jiangxi University of Science and Technology, Ganzhou, Jiangxi, 341000, China.

PMID: 29754855
DOI: 10.1016/j.isatra.2018.04.021

Abstract

The problem of sampled-data-based vibration control for structural systems with finite-time state constraint and sensor outage is investigated in this paper. The objective of designing controllers is to guarantee the stability and anti-disturbance performance of the closed-loop systems while some sensor outages happen. Firstly, based on matrix transformation, the state-space model of structural systems with sensor outages and uncertainties appearing in the mass, damping and stiffness matrices is established. Secondly, by considering most of those earthquakes or strong winds happen in a very short time, and it is often the peak values make the structures damaged, the finite-time stability analysis method is introduced to constrain the state responses in a given time interval, and the H-infinity stability is adopted in the controller design to make sure that the closed-loop system has a prescribed level of disturbance attenuation performance during the whole control process. Furthermore, all stabilization conditions are expressed in the forms of linear matrix inequalities (LMIs), whose feasibility can be easily checked by using the LMI Toolbox. Finally, numerical examples are given to demonstrate the effectiveness of the proposed theorems.

Keywords: Finite-time stability; Sampled-data; Sensor outage; Structural systems; Vibration.