Abstract
AbstractThe problem of vibration‐attenuation controller design for structural systems with multi‐rate sampled data is investigated in this paper. The objective of designing controllers is to guarantee the stability and anti‐disturbance performance of closed‐loop systems. Firstly, based on matrix transformation, the state‐space model of structural systems with multi‐rate sampled data and uncertainties appearing in the mass, damping, and stiffness matrices is established. Secondly, in terms of the Lyapunov stability theory and linear matrix inequality (LMI) techniques, a sufficient condition is established for the system without uncertainties to be stabilizable. If the condition is solvable, the controller can be obtained such that the closed‐loop system is stable with a prescribed level of disturbance attenuation performance. Furthermore, the condition is also extended to its uncertain case. Finally, numerical examples are given to demonstrate the effectiveness of the proposed theorems.
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