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A modified generic second order algorithm with fixed-time stability
ISA Transactions ( IF 7.3 ) Pub Date : 2020-10-08 , DOI: 10.1016/j.isatra.2020.10.021
Xuan-Toa Tran , Hyondong Oh

This paper introduces a modified second order sliding mode algorithm with fixed-time stability analysis based on the Lyapunov function approach. An existing second order sliding mode algorithm is generalized, which provides superior features on convergence rate, accuracy, and robustness against a class of perturbations. The performance of the proposed algorithm is compared with existing algorithms through designing observers first. Then, the proposed algorithm-based controller which displays the fixed-time convergence property is designed to validate its effectiveness and to confirm the theoretical analysis.



中文翻译:

具有固定时间稳定性的改进的通用二阶算法

本文介绍了一种基于Lyapunov函数方法的经过修正的具有固定时间稳定性分析的二阶滑模算法。归纳了现有的二阶滑模算法,该算法在收敛速度,准确性和针对一类扰动的鲁棒性方面提供了出色的功能。通过首先设计观察者,将该算法的性能与现有算法进行比较。然后,设计了基于算法的控制器,该控制器具有固定时间的收敛性,从而验证了其有效性并验证了理论分析。

更新日期:2020-10-08
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