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Bifurcation stabilization of nonlinear systems by dynamic output feedback with application to rotating stall control
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Bifurcation stabilization of nonlinear systems by dynamic output feedback with application to rotating stall control
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Journal Article
Bifurcation stabilization of nonlinear systems by dynamic output feedback with application to rotating stall control
2012
Overview
The paper deals with the problem of stabilization of stationary bifurcation solutions of nonlinear systems via dynamic output feedback. It is emphasized that the parameter of the system is not directly available. We introduce the concepts of uniform observability of the inverse of a function of state and input and N-order- input-to-state bifurcation stability. Based on the concepts, we propose a new method for designing dynamic compensators that guarantee bifurcation stability for the closed-loop system. As an example, we apply the general theory to active control of rotating stall in axial flow compressors by designing a stabilizing dynamic compensator for the three-state Moore-Greitzer model with a class of cubic compressor characteristics.
