This paper studies the problem of fuzzy adaptive event-triggered control for a class of pure-feedback nonlinear systems, which contain unknown smooth functions and unmeasured states. Fuzzy logic systems are adopted to approximate unknown smooth functions and a fuzzy state observer is designed to estimate unmeasured states. Via the event-triggered control technique, the control signal of the fixed threshold strategy is obtained. By converting the tracking error into a new virtual error variable, an observer-based fuzzy adaptive event-triggered prescribed performance control strategy is designed. The key advantage is that the proposed method does not require a priori knowledge of partial derivatives of system functions, i.e., it relaxes the restrictive condition that the partial derivatives of system functions need to be known for pure-feedback nonlinear systems. Simulation results confirm the efficiency of the proposed method.

中文翻译：

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具有规定性能的纯反馈非线性系统的基于观察者的模糊自适应事件触发控制


研究一类包含未知光滑函数和不可测状态的纯反馈非线性系统的模糊自适应事件触发控制问题。采用模糊逻辑系统来逼近未知的平滑函数，并设计模糊状态观测器来估计未测量的状态。通过事件触发控制技术，获得固定阈值策略的控制信号。通过将跟踪误差转换为新的虚拟误差变量，设计了基于观测器的模糊自适应事件触发规定性能控制策略。该方法的关键优点是不需要系统函数偏导数的先验知识，即放宽了纯反馈非线性系统需要知道系统函数偏导数的限制条件。仿真结果证实了该方法的有效性。