Abstract
The problem of fault tolerant vibration-attenuation controller design for uncertain linear structural systems with control input time-delay and saturation is investigated in this paper. The objective of designing controllers is to guarantee the asymptotic stability of closed-loop systems while attenuate disturbance from earthquake excitation. Firstly, based on matrix transformation, the structural system is described as state-space model, which contains actuator fault, input signal time-delay and saturation at the same time. Based on the obtained model, an LMIs-based condition for the system to be stabilizable is deduced. By solving these LMIs, the controller is established for the closed-loop system to be stable with a prescribed level of disturbance attenuation. The condition is also extended to the uncertain case. Finally, an example is included to demonstrate the effectiveness of the proposed theorems.
Highlights
In recent years, because earthquake and tsunamis happen frequently, vibration control for buildings structure has received considerable attention
Many scholars have applied themselves to the research of active vibration control strategies and many control techniques have been utilized, such as, classical H∞ theories [1,2], Finite frequency H∞ control [3], sliding mode control [4,5], neural networks [6], optimal control [7], bang-bang control [8,9], Semiactive – passive control [10], Semi-decentralized Control [11], mixed H2/H∞ output-feedback control [12], etc., have been developed with the goal of protecting structures subjected to external disturbance excitation
This paper is concerned with the problem of fault tolerant vibration-attenuation controller design for uncertain linear structural systems with input time-delay and saturation
Summary
Because earthquake and tsunamis happen frequently, vibration control for buildings structure has received considerable attention. In terms of the feasibility of certain delay-dependent linear matrix inequalities (LMIs), the robust H∞ disturbance attenuation problem for uncertain structural systems with control input time-delay was researched by [19]. Based on LMI technique, the problem of robust active vibration control for a class of electro-hydraulic actuated structural systems with time delay in the control input channel and parameter uncertainties appearing in all the mass, damping and stiffness matrices is investigated in [21]. To the best of the authors’ knowledge, the fault tolerant vibration-attenuation controller design for uncertain linear structural systems with control input time-delay and saturation is still not fully investigated. This paper is concerned with the problem of fault tolerant vibration-attenuation controller design for uncertain linear structural systems with input time-delay and saturation. The symbol Rn stands for the n-dimensional Euclidean space, and Rn×m is the set of n × m real matrices
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
