Application of H∞ Control and Lqg with Frequency-Dependent Weight Syntheses to a Multivariable Active Flutter Suppression System

Abstract

This paper describes the effectiveness of three robust control synthesis techniques applied to a multivariable active flutter suppression system using numerical simulations. These techniques are the mixed-sensitivity reduction in H∞ (H∞-mix), the normalized left coprime factorization robust stabilization in H∞ (H∞-normalized), and LQG with frequency-dependent weights (FWLQG), which are proposed in this paper. Although the plant is an unstable multi-input and multi-output system with large parameter variation, the FWLQG technique is superior to both H∞ synthesis techniques from the viewpoint of the increment of the flutter velocity, the time response and the solubility of control problems.