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 plate’s modes are considered as nominal system and the remaining modes are left as a multiplicative unstructured modelling uncertainty. Next, two robustcontroller 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 difference between two controller performances has been investigated. Obtained results show the higher performance of LMI-Based Design approach in rejection of random disturbances.