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Bifurcation control of rotating stall with actuator magnitude and rate limits. I: Model reduction and qualitative dynamics. (English) Zbl 1019.93039

Summary: Model order reduction is achieved by approximating the dynamics on the invariant manifold connecting the stall equilibria and the equilibria depicting the steady axisymmetric flow. Bifurcations and qualitative dynamics of the closed loop system are obtained by analyzing the reduced order system, and illustrated by drawing phase portraits at different values of the throttle coefficient. The invariant manifold of a saddle equilibrium of the reduced system forms the boundary between the region of attraction of the stabilized stall equilibrium and that of the fully developed stall equilibrium. (For Part II, see the review below; Zbl 1019.93040).

MSC:

93C95 Application models in control theory
93B11 System structure simplification
34C23 Bifurcation theory for ordinary differential equations

Citations:

Zbl 1019.93040
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