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基于观测器的非线性系统有限时间事件触发控制

Observer-based finite-time event-triggered control for nonlinear systems

  • 摘要: 针对一类具有非严格反馈结构的非线性系统,研究了基于观测器的有限时间事件触发控制设计方法。首先,用模糊逻辑系统处理系统中的未知非线性连续函数,并基于有限时间命令滤波器,构建了分数幂误差补偿系统,有效避免了反步法设计中常见的“复杂性爆炸”问题。通过模糊状态观测器估计未知的系统状态,并构建了扰动观测器估计未知的外部扰动。为了减轻通信负担,设计了有限时间自适应事件触发控制算法,避免了芝诺行为。通过Lyapunov有限时间理论,证明了跟踪误差、状态观测器误差以及扰动观测器误差在有限时间内收敛至零点的一个邻域内,同时保证闭环系统的所有信号有界。最后,借助仿真实例对所提控制方法进行了可行性验证。

     

    Abstract: This paper investigates a finite-time event-triggered control design method based on observers for a class of nonlinear systems with non-strict feedback structures. First,a fuzzy logic system is employed to handle the unknown nonlinear continuous functions within the system. Based on a finite-time command filter,a fractional-order error compensation system is constructed,effectively avoiding the “complexity explosion” issue commonly encountered in the backstepping design approach. A fuzzy state observer estimates the unknown system state,while a disturbance observer estimates the unknown external disturbance. To reduce communication overhead,a finite-time adaptive event-triggered control algorithm is designed to prevent Zeno behavior. Using finite-time Lyapunov theory,it is proven that the tracking error,state observer error,and disturbance observer error converge to a neighborhood of zero within finite time,while ensuring boundedness of all signals in the closed-loop system. Finally,the feasibility of the proposed control method is verified through simulation examples.

     

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