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Switched-observer-based adaptive output-feedback control design with unknown gain for pure-feedback switched nonlinear systems via average dwell time
International Journal of Systems Science ( IF 4.3 ) Pub Date : 2021-05-18 , DOI: 10.1080/00207721.2020.1863503
Yi Chang 1 , Peng Zhou 1 , Ben Niu 2 , Huanqing Wang 2 , Ning Xu 3 , M. O. Alassafi 4 , A. M. Ahmad 4
Affiliation  

This paper studies the problem of adaptive fuzzy tracking control for a class of pure-feedback switched nonlinear systems with unknown gain. First, the studied system is handled by using the mean value theorem, the initial pure-feedback nonlinear systems become affine nonlinear systems. Then, the unknown signal is handled through a linear transformation, the Nussbaum-type functions are used to design an effective controller for the processed system. To avoid the issue of ‘explosion of complexity’ caused by mean value theorem and backstepping procedure, a first-order sliding-mode differentiator is employed to simplify the calculation. Combined with the average dwell time (ADT) method, a set of switching signals are given to sure the stability of the system. The Lyapunov theorem is used to verify that all signals are semiglobal uniformly ultimately boundness (SGUUB), and the errors can be regulated arbitrarily small. Finally, simulation results show the effectiveness of the proposed method.



中文翻译:

基于平均驻留时间的纯反馈切换非线性系统未知增益的基于切换观测器的自适应输出反馈控制设计

本文研究了一类增益未知的纯反馈切换非线性系统的自适应模糊跟踪控制问题。首先,利用均值定理处理所研究的系统,将初始纯反馈非线性系统变为仿射非线性系统。然后,通过线性变换处理未知信号,利用 Nussbaum 型函数为处理系统设计一个有效的控制器。为了避免由均值定理和反推过程引起的“复杂度爆炸”问题,采用一阶滑模微分器来简化计算。结合平均驻留时间(ADT)方法,给出一组开关信号以确保系统的稳定性。李雅普诺夫定理用于验证所有信号都是半全局一致最终有界(SGUUB),并且误差可以任意调节小。最后,仿真结果表明了所提出方法的有效性。

更新日期:2021-07-01
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