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Adaptive Asymptotic Tracking Control for Stochastic Nonlinear Systems with Unknown Backlash-Like Hysteresis

WANG Le1, SUN Wei1, WU Yuqiang2   

  1. 1. School of Mathematics Science, Liaocheng University, Liaocheng 252000, China;
    2. School of Engineering, Qufu Normal University, Rizhao 276826, China
  • Received:2021-04-11 Revised:2021-07-05 Online:2022-10-25 Published:2022-10-12
  • Supported by:
    This research was supported in part by the Natural Science Foundation of Shandong Province for Key Projects under Grant No.ZR2020KA010;in part by the National Natural Science Foundation of China under Grant No.62073187;in part by the Major Scientific and Technological Innovation Project in Shandong Province under Grant No.2019JZZY011111,and "Guangyue Young Scholar Innovation Team" of Liaocheng University under Grant No.LCUGYTD2022-01.

WANG Le, SUN Wei, WU Yuqiang. Adaptive Asymptotic Tracking Control for Stochastic Nonlinear Systems with Unknown Backlash-Like Hysteresis[J]. Journal of Systems Science and Complexity, 2022, 35(5): 1824-1838.

In this study,an adaptive asymptotic tracking control problem is considered for stochastic nonlinear systems with unknown backlash-like hysteresis.By utilizing backstepping technology and bound estimation approach,an adaptive asymptotic tracking control scheme is designed,where fuzzy systems are applied to approximate unknown function terms,the effect of hysteresis and stochastic disturbances is compensated appropriately.The proposed scheme ensures that the tracking error can asymptotically converge to zero in probability and all signals of the closed-loop system are bounded almost surely.Finally,the effectiveness of the control scheme is verified by giving a simulation example.
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