非线性系统
流量(数学)
控制理论(社会学)
鲁棒控制
控制器(灌溉)
基质(化学分析)
应用数学
传递函数
数学
计算机科学
控制(管理)
物理
工程类
几何学
人工智能
材料科学
电气工程
量子力学
农学
复合材料
生物
标识
DOI:10.1109/auteee52864.2021.9668674
摘要
Spatial developing flows may often prove detrimental to engineering objectives and demand effective control, yet their nonlinearity has often primitive control methods infeasible. Nonetheless, in this article, we attempt to analyze and suppress the amplification of disturbances in those flows that could be described by complex Ginzburg-Landaus equation by employing dynamic mode decomposition (DMD) method to capture the dynamics of nonlinearity. We first numerically simulate the entire flow field over time and stream-wise direction, then generate the DMD matrix which provides a linear approximation of the nonlinear characteristics of the equation, and finally apply the aforementioned matrix into $\mathcal{H}_{\infty}$ robust control scheme to obtain the robust controller that minimizes the effects of disturbances. We conclude that 1) DMD can capture the nonlinear dynamics of complex Ginzburg-Landau equation effectively; 2) nonlinear flow is harder to control than linear flow; 3) the maximum of $\mathcal{H}_{\infty}$ control system transfer function is always less than those of other control systems.
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