Adaptive tracking of stochastic nonlinear systems with Prandtl-Ishlinskii hysteresis

作者：Liu, Wei^*; Ji, Haibo; Ma, Yike

来源：International Journal of Robust and Nonlinear Control, 2012, 22(16): 1779-1789.

DOI：10.1002/rnc.1781

• adaptive tracking
• Prandtl-Ishlinskii hysteresis
• stochastic nonlinear systems
• disturbance attenuation

This paper deals with adaptive tracking problems for a class of stochastic nonlinear systems with unknown hysteresis nonlinearities. The system considered is in a strict-feedback form driven by unknown PrandtlIshlinskii hysteresis and Wiener noises of unknown covariance. By employing backstepping design techniques and stochastic Lyapunov design method, parameter adaptive laws and control laws are obtained, which ensure that the tracking error can converge to a small residual set around the origin in the sense of mean quartic value.

• 单位
  中国科学技术大学