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arXiv math/0009114math.DS
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航空发动机流量的基本动力系统控制

Basic Dynamical Systems Control of Aeroengine Flow

Bjorn Birnir, Hoskuldur A. Hauksson

摘要:

利用偏微分方程动力系统理论定义了基本能控性和基本控制的概念。提出了线性化的粘性Moore-Greitzer方程的二次型最优控制,并证明了在此模型中失速是不可控的。对非线性粘性Moore-Greitzer方程构造了一个基本控制器,它能同时控制喘振和失速。给出了基本控制的数值模拟。

英文摘要:

The notions of basic controllability and basic control are defined using dynamical systems theory of partial differential equations. A quadratic optimal control of the linearized viscous Moore-Greitzer equation is presented and it is confirmed that stall is uncontrollable in this model. A basic control is constructed for the nonlinear viscous Moore-Greitzer equation which can control both surge and stall. Numerical simulations of the basic control are presented.

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