Abstract
The problem of sensor fault-tolerant vibration-attenuation controller design for uncertain buildings structural systems 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 a state-space model, which contains sensor faults and parameter uncertainties. Based on the obtained model, the LMIs-based conditions for the system to be stabilizable are deduced. By solving these LMIs, the controllers are established for the closed-loop system to be stable with a prescribed level of disturbance attenuation and sensor fault-tolerant. Finally, an example is included to demonstrate the effectiveness of the proposed theorems.
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