A noncausal framework for model-based feedback control of spatially developing perturbations in boundary-layer flow systems. Part II: numerical simulations using state feedback

✍ Scribed by Patricia Cathalifaud; Thomas R. Bewley

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 472 KB
• Volume: 51
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(03)00183-x

✦ Synopsis

We present numerical results illustrating the successful state feedback control of a spatially developing boundary-layer ow system. Control is applied using the noncausal framework developed in Part I of this study. After addressing some important regularization issues related to the proper treatment of the inÿnite-dimensional nature and semi-inÿnite spatial extent of the present system, we compute the state-feedback control gains according to the equations developed in Part I at several spanwise wavenumbers ÿ. We then inverse transform the result to obtain spatial convolution kernels for determining the control feedback. The e ectiveness of the controls computed using these feedback kernels, which are well resolved on the computational grid and spatially localized in the spanwise direction, is tested using direct numerical simulation of the boundary-layer ow system. A signiÿcant damping of the ow perturbation is observed, which is of the same order as the damping that arises when applying signiÿcantly more expensive iterative adjoint-based control optimization schemes.