Advances in helicopter vibration control methods time-periodic reduced order modeling and H2/H1 controller design

This paper presents the implementation of recent developments in system theory within a novel framework to enhance the vibration control of helicopters. Particular focus is given to the vibration control of helicopters flying in a forward flight regime, where the sys- tem exhibits time-periodic behavior. The objective of this framework is to provide high performance controllers that can satisfy stability and design performance criteria when implemented in high-fidelity computer simulations or in real time experiments. The frame- work emphasizes the integration of state-of-the art coupled Computational Fluid Dynamics (CFD) /Computational Structural Dynamics (CSD) analysis in the controller design pro- cess to obtain accurate reduced-order aeroelastic models of the helicopter rotor system. Design of time-periodic H2 and H ∞ controllers are proposed owing to their rigorous sta- bility formulation based on Floquet-Lyapunov theory, and advantages over time-lifted con- trollers. Within this framework, the time-periodic system models in state-space form were identified using robust subspace model identification method. The time-periodic H2 and H∞ synthesis problem was solved using both Linear Matrix Inequality and periodic Ric- cati based formulations. The controllers performance were validated using the high-fidelity aeroelastic simulations. The computational efficiency of using these advanced methods, and the necessity of using the novel framework were demonstrated by implementing an actively controlled ap strategy for vibration suppression of helicopters