基于输出反馈的全局实用跟踪控制适用于更一般的非线性系统。

Pu Tian, Xuehua Yan, Yiping Liu, Tao Shen
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引用次数: 0

摘要

研究了具有未知控制系数和未知参考信号的不确定非线性系统的输出反馈全局跟踪控制问题。与其他跟踪工作不同,所研究的非线性系统中未知控制系数的上界和下界不需要已知,而非线性由未测量状态乘以未知常数、输出多项式和输入多项式来界定。受相关研究成果的启发,将通用控制思想和死区概念与反演技术相结合,成功构建了一种基于新型动态高增益的自适应跟踪控制器,有效地处理了多种不确定性的影响。所设计的自适应控制器保证了闭环系统的状态是全局有界的,系统的跟踪误差在有限时间后收敛到原点的任意小范围内。最后,给出了两个数值算例来说明理论结果的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Global practical tracking control via output feedback for more general nonlinear systems.

This paper focuses on the issue of global practical tracking control by output feedback for uncertain nonlinear systems with unknown control coefficients and unknown reference signal. Unlike other tracking works, the upper and lower bounds of the unknown control coefficients in the studied nonlinear system are not required to be known, while the nonlinearities are bounded by the unmeasured states multiplying an unknown constant, the polynomial-of-output and the polynomial-of-input. Inspired by related works, an adaptive tracking controller based on a new dynamic high gain has been successfully constructed by combining the universal control idea and the concept of dead-zone with backstepping technique, which effectively handles the impacts of multiple uncertainties. The designed adaptive controller ensures that the state of the closed-loop system is globally bounded, and the tracking error of the system converges to any arbitrarily small range of the origin after a finite time. Finally, two numerical examples are provided to illustrate the effectiveness of the theoretical results.

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