Stochastic control of flexible beam in random flutter

A new stochastic controller for a dynamic system under irregular disturbance has been developed and investigated via Monte-Carlo simulation and physical experiment. In order to design what we called a “Heo stochastic controller”, the system equation is transformed to stochastic domain by F–P–K approach from physical domain. A “Heo stochastic controller” is designed in stochastic domain by using a conventional method such as a PI controller. This paper consists of a basic description of F–P–K equation approach, the design of the “Heo stochastic controller”, realization of the technique and its performance, and simulation results. A thin beam is adopted as an airfoil model, and then the newly designed “Heo stochastic controller” is implemented to the system. A flutter control simulation for a thin airfoil exposed to turbulent flow is conducted numerically and experimentally as well. The newly proposed “Heo-PI stochastic controller” shows promising performance.