Adaptive Neural Control for a Class of Nonlinear Systems With Uncertain Hysteresis Inputs and Time-Varying State Delays

作者：Ren Beibei^*; Ge Shuzhi Sam; Lee Tong Heng; Su Chun Yi

来源：IEEE Transactions on Neural Networks, 2009, 20(7): 1148-1164.

DOI：10.1109/TNN.2009.2016959

• Neural networks (NNs)
• Prandtl-Ishlinskii (PI) hysteresis model
• time-varying delays
• variable structure control

In this paper, adaptive variable structure neural control is investigated for a class of nonlinear systems under the effects of time-varying state delays and uncertain hysteresis inputs. The unknown time-varying delay uncertainties are compensated for using appropriate Lyapunov-Krasovskii functionals in the design, and the effect of the uncertain hysteresis with the Prandtl-Ishlinskii (PI) model representation is also mitigated using the proposed control. By utilizing the integral-type Lyapunov function, the closed-loop control system is proved to be semiglobally uniformly ultimately bounded (SGUUB). Extensive simulation results demonstrate the effectiveness of the proposed approach.

• 出版日期2009-7