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Global output feedback stabilization for a class of nonlinear systems with multiple uncertainties
Journal of the Franklin Institute ( IF 4.1 ) Pub Date : 2021-01-14 , DOI: 10.1016/j.jfranklin.2021.01.006
Zong-Yao Sun , Kai Zhang , Chih-Chiang Chen , Qian Zhao

This paper investigates the problem of global output feedback stabilization for a class of nonlinear systems with multiple uncertainties. A remarkable feature lies in that the system to be considered is not only involved dynamic and parametric uncertainties but also the measurement output affected by an uncertain continuous function, which leads to the obstacles in the constructions of a state observer and a controller. By revamping the double-domination approach with the skillful implantation of a dynamic gain scheme and nonnegative integral functions, a new design strategy is established by which a global output feedback stabilizer together with a novel state observer can be constructed successfully. The novelty of the presented design is attributed to a perspective in dealing with the output feedback stabilization undergone the unknown continuous (time-varying) output function and dynamic/parametric uncertainties. Finally, an illustrative example is provided to illustrate the effectiveness of the theoretical results.



中文翻译:

一类具有多个不确定性的非线性系统的全局输出反馈镇定

本文研究了一类具有多个不确定性的非线性系统的全局输出反馈镇定问题。一个显着的特征在于,要考虑的系统不仅涉及动态和参数不确定性,而且还受不确定的连续函数影响的测量输出,这会导致状态观察器和控制器的结构出现障碍。通过巧妙地植入动态增益方案和非负积分函数来改进双控制方法,建立了一种新的设计策略,通过该策略可以成功构建全局输出反馈稳定器和新型状态观测器。提出的设计的新颖性归因于处理输出反馈稳定的观点,该输出稳定经历了未知的连续(随时间变化)输出函数和动态/参数不确定性。最后,提供了一个示例性例子来说明理论结果的有效性。

更新日期:2021-03-03
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