Robust Active Vibration Control of Smart Structures; a Comparison between Two Approaches: µ-Synthesis & LMI-Based Design

The purpose of this paper is comparing the performance of two robust control designing approaches in smart structures. First, an accurate model of a homogeneous plate with special boundary conditions is derived by using of modal analysis. Then, some primitive p late's modes are considered as nominal system and the remaining modes are left as a mu ltip licat ive unstructured modelling uncertainty. Next, t wo robust controller are designed using µ-Synthesis & LMI-Based Design approaches based on the augmented plant composed of the nominal model and its accompanied uncertainty. Finally, the robustness of two uncertain closed-loop models and the d ifference between t wo controller performances has been investigated. Obtained results show the higher performance of LMI-Based Design approach in rejection of random disturbances.