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Volume 7 Issue 5
Sep.  2020

IEEE/CAA Journal of Automatica Sinica

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Lei Liu, Tingting Gao, Yan-Jun Liu and Shaocheng Tong, "Time-Varying Asymmetrical BLFs Based Adaptive Finite-Time Neural Control of Nonlinear Systems With Full State Constraints," IEEE/CAA J. Autom. Sinica, vol. 7, no. 5, pp. 1335-1343, Sept. 2020. doi: 10.1109/JAS.2020.1003213
Citation: Lei Liu, Tingting Gao, Yan-Jun Liu and Shaocheng Tong, "Time-Varying Asymmetrical BLFs Based Adaptive Finite-Time Neural Control of Nonlinear Systems With Full State Constraints," IEEE/CAA J. Autom. Sinica, vol. 7, no. 5, pp. 1335-1343, Sept. 2020. doi: 10.1109/JAS.2020.1003213

Time-Varying Asymmetrical BLFs Based Adaptive Finite-Time Neural Control of Nonlinear Systems With Full State Constraints

doi: 10.1109/JAS.2020.1003213
Funds:  This work was supported in part by the National Natural Science Foundation of China (61803190, 61973147, 61773188) and Liaoning Revitalization Talents Program (XLYC1907050)
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  • This paper concentrates on asymmetric barrier Lyapunov functions (ABLFs) based on finite-time adaptive neural network (NN) control methods for a class of nonlinear strict feedback systems with time-varying full state constraints. During the process of backstepping recursion, the approximation properties of NNs are exploited to address the problem of unknown internal dynamics. The ABLFs are constructed to make sure that the time-varying asymmetrical full state constraints are always satisfied. According to the Lyapunov stability and finite-time stability theory, it is proven that all the signals in the closed-loop systems are uniformly ultimately bounded (UUB) and the system output is driven to track the desired signal as quickly as possible near the origin. In the meantime, in the scope of finite-time, all states are guaranteed to stay in the pre-given range. Finally, a simulation example is proposed to verify the feasibility of the developed finite time control algorithm.

     

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