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

作者：Zhang Hua Guang^*; Song Zheng; Zhang Qing Ling

来源：Chinese Physics B, 2010, 19(12): 120512.

DOI：10.1088/1674-1056/19/12/120512

• ferromagnetic hysteresis nonlinearity
• discrete-time descriptor systems
• extended Tsypkin criterion

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.

• 出版日期2010-12
• 单位东北大学