Uncertainty and Disturbance Estimator-Based Backstepping Control for Nonlinear Systems With Mismatched Uncertainties and Disturbances

Uncertainty and Disturbance Estimator-Based Backstepping Control for Nonlinear Systems With Mismatched Uncertainties and Disturbances
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DOI:
10.1115/1.4040590
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发表时间:
2018-07
期刊:
Journal of Dynamic Systems, Measurement, and Control
影响因子:
--
通讯作者:
Jiguo Dai;B. Ren;Qing-Chang Zhong
Jiguo Dai;B. Ren;Qing-Chang Zhong
中科院分区:
其他
文献类型:
--
作者:
Jiguo Dai;B. Ren;Qing-Chang Zhong

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针对具有非匹配不确定性和干扰的非线性系统,提出了一种基于不确定性和干扰估计器(UDE)的控制器,将基于UDE的控制与传统的反推方法相结合。反推方案的采用有助于放松基于微分方程的控制的结构约束。此外,参考模型的设计,在基于微分方程的控制提供了一个解决方案,以解决“复杂性爆炸”的问题的反推方法。此外,严格反馈形式的条件,在传统的backstepping方法也放宽了使用基于微分方程的控制来估计和补偿“类干扰”的条款,包括非严格反馈条款和中间系统误差。分析了闭环系统的一致最终有界性。数值和实验研究提供。
This paper proposes an uncertainty and disturbance estimator (UDE)-based controller for nonlinear systems with mismatched uncertainties and disturbances, integrating the UDE-based control and the conventional backstepping scheme. The adoption of the backstepping scheme helps to relax the structural constraint of the UDE-based control. Moreover, the reference model design in the UDE-based control offers a solution to address the “complexity explosion” problem of the backstepping approach. Furthermore, the strict-feedback form condition in the conventional backstepping approach is also relaxed by using the UDE-based control to estimate and compensate “disturbance-like” terms including nonstrict-feedback terms and intermediate system errors. The uniformly ultimate boundedness of the closed-loop system is analyzed. Both numerical and experimental studies are provided.