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arxiv: math/0009114 · v1 · submitted 2000-09-12 · 🧮 math.DS

Basic Dynamical Systems Control of Aeroengine Flow

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keywords controlbasicdynamicalequationmoore-greitzerpresentedstallsystems
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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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