A novel extended Tsypkin criterion for discrete-time descriptor systems with ferromagnetic hysteresis nonlinear physical phenomenon

doi:10.1088/1674-1056/19/12/120512

Abstract This paper concerns the absolute stability problem of discrete-time descriptor systems with feedback connected ferromagnetic hysteresis nonlinearities. The ferromagnetic hysteresis model satisfies the passivity conditions of hysteresis operator, that is the input–output relation of the transformed operator is passive. The bound condition of the solution of the ferromagnetic hysteresis model is given. Through the framework of loop transformation, an augmented discrete-time descriptor system model is established for the stability analysis. A new extended Tsypkin criterion for the absolute stability of discrete-time descriptor systems with hysteresis is presented based on the linear matrix inequalities technique. A numerical example is given to illustrate the effectiveness of the extended criterion.

Keywords: ferromagnetic hysteresis nonlinearity discrete-time descriptor systems extended Tsypkin criterion

Received: 07 March 2010
Revised: 10 May 2010
Accepted manuscript online:

PACS:

75.60.Ej

(Magnetization curves, hysteresis, Barkhausen and related effects)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 50977008, 60821063 and 61034005), and National Basic Research Program of China (Grant No. 2009CB32060).

Cite this article:

Zhang Hua-Guang(张化光), Song Zheng(宋铮), and Zhang Qing-Ling(张庆灵) A novel extended Tsypkin criterion for discrete-time descriptor systems with ferromagnetic hysteresis nonlinear physical phenomenon 2010 Chin. Phys. B 19 120512

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A novel extended Tsypkin criterion for discrete-time descriptor systems with ferromagnetic hysteresis nonlinear physical phenomenon

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