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Adaptive Integral Terminal Sliding Mode Tracking Control for a Non-Linear Nuclear Reactor System

机译:非线性核反应堆系统的自适应整体终端滑模跟踪控制

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This paper presents an adaptive finite time control scheme using the terminal sliding mode control, for a nonlinear nuclear reactor system. Compared to the linear sliding surface based sliding mode control, terminal sliding mode control with nonlinear sliding surface provides finite time convergence and high precision control. Finite time convergence of error trajectory to the equilibrium point from any initial condition is verified by analysis. Singularity problem associated with the conventional terminal sliding mode control is eliminated by defining an integral terminal sliding surface. An adaptive gain tuning algorithm is integrated with the proposed control law to estimate the upper bound of unknown lumped system uncertainties. Robustness of the closed-loop system is proved with the help of Lyapunov theory. The proposed controller is then applied to a nuclear reactor to track the demand power in finite time. Finally, effectiveness of the proposed control scheme in the presence of uncertainties and external disturbances is demonstrated through simulation results.
机译:本文针对非线性核反应堆系统,提出了一种使用终端滑模控制的自适应有限时间控制方案。与基于线性滑动面的滑模控制相比,具有非线性滑动面的终端滑模控制可提供有限的时间收敛性和高精度控制。通过分析验证了误差轨迹从任何初始条件到平衡点的有限时间收敛性。通过定义一个整体的端子滑动表面,可以消除与常规端子滑动模式控制相关的奇异性问题。自适应增益调整算法与所提出的控制律相集成,以估计未知集总系统不确定性的上限。借助李雅普诺夫理论证明了闭环系统的鲁棒性。然后将拟议的控制器应用于核反应堆,以在有限的时间内跟踪需求功率。最后,通过仿真结果证明了所提出的控制方案在存在不确定性和外部干扰的情况下的有效性。

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