状态约束非线性系统自适应有限时间命令滤波输出反馈控制
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TP13

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中国博士后科学基金面上资助项目(2022M721974).


Adaptive finite time command filtered output feedback control of nonlinear systems with state constraints
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    摘要:

    针对一类具有状态约束和不可测状态的非线性系统, 提出一种基于观测器的自适应神经网络有限时间命令滤波控制方案. 首先, 构造积分障碍李雅普诺夫函数来确保系统的状态变量满足时变约束条件. 其次, 考虑到大多数非线性系统的状态是不可测的, 设计一个自适应神经网络状态观测器对不可测状态进行估计. 然后, 在控制器设计过程中采用有限时间命令滤波控制方法, 避免了“微分爆炸”现象, 并进一步引入误差补偿机制消除了滤波误差. 此外, 为了解决输入死区问题, 将死区模型描述为线性输入和有界扰动的形式. 所提方法保证了系统状态不会超出约束边界, 闭环系统中所有信号在有限时间内是有界的, 且跟踪误差在有限时间内收敛到原点附近邻域内. 最后, 通过两个例子验证了所提方法的有效性.

    Abstract:

    This paper proposes an adaptive neural network finite time command filtered control scheme based on observers for a class of nonlinear systems with full state constraints and unmeasured states. Firstly, the integral barrier Lyapunov functions are constructed to guarantee that the state variables satisfy the time-varying constraint conditions. Secondly, considering that the states of most nonlinear systems are unmeasurable, an adaptive neural network state observer is designed to estimate the unmeasurable states. Then, the finite time command filtered control method is used in the process of controller design to avoid the phenomenon of ‘differential explosion’, and the error compensation mechanism is further introduced to eliminate the filtering errors. Besides, the dead zone model is described as the form of linear input and bounded disturbance to solve the input dead zone problem. The proposed method ensures that the system states do not exceed the constraint bounds, all signals in the closed-loop system are bounded in finite time, and the tracking error can converge to within the neighborhood near zero in finite time. Finally, the effectiveness of the proposed method is verified by two examples.

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苏航,杜宇航.状态约束非线性系统自适应有限时间命令滤波输出反馈控制[J].控制与决策,2025,40(11):3300-3312

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  • 收稿日期:2024-12-02
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  • 在线发布日期: 2025-10-14
  • 出版日期: 2025-11-20
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