Closed-loop fluid flow control using a low dimensional model

✍ Scribed by L. Mathelin; M. Abbas-Turki; L. Pastur; H. Abou-Kandil

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 880 KB
• Volume: 52
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/j.mcm.2010.01.007

✦ Synopsis

This paper is devoted to the problem of defining a control strategy to minimize the drag of a bluff body in a 2-D cross-flow. A reduced model is obtained using a robust statistical reduction approach and an optimal orbit in the phase space is determined using an openloop control strategy. This open-loop control law is inexpensive to derive as it relies on a reduced order model. Since the deviations from the optimal orbit are meant to remain small, the non-linear flow model can be linearized around the orbit at each time. To compensate for the deviations, a closed-loop control is applied. The design of a robust controller is difficult due to the large number of state space variables, conflicting specifications and parameter uncertainties. Further, the model is a time-varying process, so that Linear Time Invariant design methods cannot be directly applied.