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The residual vibrations in flexible structure system model can cause errors. In addition, the parameters in the system are also changed. For the problem of residual vibration, robust H∞ filter is designed for neutral systems with multi-delay. Based on Lyapunov stability theory, the sufficient condition for the existence of filter is given. For the permitted uncertainty and multi-delay, the designed filter can guarantee the robust asymptotically stability and satisfy H∞ performance index for the filtering error dynamic system. Finally, the designed filter is applied to the flexible system, and the result shows that the filter is effective.

Robust H ∞ Filtering for Neutral Systems with Multi-Delay and Application in the Flexible System

Robust H _∞ Filtering for Neutral Systems with Multi-Delay and Application in the Flexible System