Absolute stabilization of singular systems with ferromagnetic hysteresis nonlinearity  

作　　者：ZHANG HuaGuang WANG YingChun SONG Zheng 

机构地区：[1]School of Information Science and Engineering, Northeastern University [2]Stake Key Laboratory of Synthetical Automation of Process Industies (Northeasten University) [3]Beijing Institute of Spacecraft System Engineering

出　　处：《Science China(Information Sciences)》2013年第7期255-268,共14页中国科学（信息科学）（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 50977008, 60821063,61034005, 60904017);the National Basic Research Program of China (Grant No. 2009CB320601)

摘　　要：This paper is concerned with the absolute stabilization problem of a class of singular systems with feedback connected ferromagnetic hysteresis nonlinearities. Firstly, a novel differential-integral loop transforma- tion framework is developed to achieve an augmented singular system model. Secondly, by constructing a new passive output derivative operator of hysteresis nonlinearity and establishing the bound condition of the solution of ferromagnetic hysteresis model, the equivalent absolute stability criterion of singular systems with hysteresis feedback is derived based on KYP method and LMIs technique. Furthermore, the strict LMIs conditions for absolute stabilization are obtained, which can easily be checked by the LMI toolbox in MATLAB. Finally, two examples are given to illustrate the effectiveness of the proposed method.This paper is concerned with the absolute stabilization problem of a class of singular systems with feedback connected ferromagnetic hysteresis nonlinearities. Firstly, a novel differential-integral loop transforma- tion framework is developed to achieve an augmented singular system model. Secondly, by constructing a new passive output derivative operator of hysteresis nonlinearity and establishing the bound condition of the solution of ferromagnetic hysteresis model, the equivalent absolute stability criterion of singular systems with hysteresis feedback is derived based on KYP method and LMIs technique. Furthermore, the strict LMIs conditions for absolute stabilization are obtained, which can easily be checked by the LMI toolbox in MATLAB. Finally, two examples are given to illustrate the effectiveness of the proposed method.

关 键 词：ferromagnetic hysteresis singular systems absolute stability extended Popov criterion 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置]