ABSTRACT

In this paper, an adaptive fuzzy event-triggered output feedback control scheme is studied for a class of non-strict feedback systems with tracking error constrained and unknown dead-zone. Fuzzy logical systems (FLSs) are employed to solve the uncertainties of the controlled plant, and the immeasurable states are estimated by employing the fuzzy observer. In the designed observer, to compensate for the effect of unknown dead-zone by invoking the known designed event-triggered input signal, an adaptive parameter is designed. Furthermore, due to event-triggered control (ETC) places a great burden on the computing space, the dynamic surface control (DSC) technique is used to solve the problem of ‘explosion of complexity’ in each step, and the simplified barrier Lyapunov function (SBLF) is utilised to restrict the tracking error within the prescribed boundaries. Consequently, the designed parameter adaptive laws and event-triggered controller can ensure that all signals of the closed-loop system are semi-globally uniformly ultimately bounded (SGUUB). Ultimately, two numerical simulation examples are provided to illustrate the effectiveness of the proposed event-triggered control theory.

摘要

本文针对一类具有跟踪误差约束和未知死区的非严格反馈系统，研究了一种自适应模糊事件触发输出反馈控制方案。模糊逻辑系统（FLSs）被用来解决被控对象的不确定性，并通过模糊观察器估计不可测状态。在设计的观测器中，为了通过调用已知设计的事件触发输入信号来补偿未知死区的影响，设计了一个自适应参数。此外，由于事件触发控制（ETC）给计算空间带来了很大的负担，因此使用动态表面控制（DSC）技术来解决每一步“复杂度爆炸”的问题，并且利用简化的障碍李雅普诺夫函数（SBLF）将跟踪误差限制在规定的边界内。因此，设计的参数自适应律和事件触发控制器可以确保闭环系统的所有信号都是半全局一致最终有界（SGUUB）。最后，提供了两个数值模拟实例来说明所提出的事件触发控制理论的有效性。