Bifurcation stabilization of nonlinear systems by dynamic output feedback with application to rotating stall control  

作　　者：CHEN PengNian QIN HuaShu WANG Yong HONG YiGuang 

机构地区：[1]Department of Mathematics,China Jiliang University,Hangzhou 310018,China [2]Institute of Systems Science,The Chinese Academy of Sciences,Beijing 100080,China [3]Department of Mechanics,Peking University,Beijing 100871,China

出　　处：《Science China(Information Sciences)》2012年第1期200-213,共14页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.60674023,60425307,10302001,10472129,10772003)

摘　　要：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.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.

关 键 词：bifurcation control uniform observability dynamic output feedback rotating stall 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP271[自动化与计算机技术—控制科学与工程]