Basic Dynamical Systems Control of Aeroengine Flow

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.Comment: 6page

Basic Control for the Viscous Moore-Greitzer Partial Differential Equation

The notions of basic controllability and basic control are defined. 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 MooreGreitzer equation which can control both surge and stall. Some extensions of this construction are discussed. Numerical simulations of the basic control are presented and its performance is compared to the performance of a backstepping control constructed by Banaszuk et al. [2]. It is shown that the viscous Moore-Greizer equation with throttle control is not basically controllable, but under certain conditions, adding air injection control will make the equation basically controllable. 1 Introduction In recent years a lot of attention has been devoted to the study of air flow through turbomachines. The main reason for this interest is that when a turbomachine, such as a jet engine, operates close to its o..