報告題目：Nonlinear Stability Analysis and Controller Design for Fluid Flow Systems Using Sum of Squares of Polynomials

  報告人：Deqing Huang, Department of Aeronautics, Imperial College London

The stability analysis of fluid flows, typically modelled by nonlinear Partial Differential Equations (PDEs), is of fundamental importance for understanding unsteadiness and turbulence as well as proposing active flow control algorithms for, e.g. reducing drag and improving fuel efficiency in some applications. In this talk we will present a new approach for stability analysis and control of fluid flows, based on a recent progress in the application of Sum of Squares of polynomials and semi-definite programming in combination with a Lyapunov-based approach to stability analysis and design. The approach is first developed for Ordinary Differential Equations (ODEs) polynomial systems, and then extended to PDEs systems that may be converted to uncertain ODEs. The effectiveness of the proposed method is demonstrated by means of global stability analysis of a class of rotating Couette flow and long-time average cost control of a simple cylinder flow model under persistent perturbation of random noise.

  報告地點：kaiyun開云官方網(wǎng)站學(xué)術(shù)報告廳X2511 

  報告時間：2015年4月27日 星期一 上午10:30

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