European Journal of Control ( IF 3.4 ) Pub Date : 2021-10-31 , DOI: 10.1016/j.ejcon.2021.10.004 Xinxu Ju 1 , Xianglei Jia 1 , Xiaocheng Shi 1 , Shizhou Fu 1
This paper investigates the problem of global practical tracking by adaptive event-triggered output feedback for a class of uncertain nonlinear systems with unknown time-varying control coefficients. The nonlinear systems under consideration allow more general growth restriction, e.g., unknown constant and output-polynomial function coupled to the unmeasurable states. Based on non-separation principle, an adaptive event-triggered output feedback controller is proposed by combining dynamic high-gain scaling approach with backstepping method. It is worth emphasizing that a novel updating law of the high-gain is introduced to overcome the system nonlinearities and the serious uncertainties mentioned above. The controller proposed guarantees that the states of the resulting closed-loop systems are globally bounded, while the tracking error converges to a prescribed arbitrarily small neighborhood of the origin after a finite time. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.
中文翻译:
通过自适应事件触发输出反馈实现不确定非线性系统的实际跟踪
本文研究了一类具有未知时变控制系数的不确定非线性系统的自适应事件触发输出反馈的全局实际跟踪问题。正在考虑的非线性系统允许更一般的增长限制,例如,未知常数和输出多项式函数耦合到不可测量的状态。基于非分离原理,将动态高增益缩放方法与反步法相结合,提出了一种自适应事件触发输出反馈控制器。值得强调的是,为了克服上述系统非线性和严重的不确定性,引入了一种新颖的高增益更新律。控制器提议保证生成的闭环系统的状态是全局有界的,而跟踪误差在有限时间后收敛到原点的指定任意小邻域。最后,给出了一个数值例子来说明所提方法的有效性。