Finite-time convergence analysis for “Twisting” controller via a strict Lyapunov function
Finite-time convergence analysis for “Twisting” controller via a strict Lyapunov function
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通过严格的 Lyapunov 函数对“Twisting”控制器进行有限时间收敛分析
DOI：
10.1109/vss.2010.5545144
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
J. Moreno
中科院分区：
文献类型：
--
作者：
Raul Santiesteban;L. Fridman;J. Moreno
研究了一种二阶滑模控制器，即所谓的“Twisting”算法.提出了一个非光滑的严格李雅普诺夫函数，使得该算法的全局有限时间稳定性，即使在有界外部扰动的情况下，它可以被证明。严格的李雅普诺夫函数给出了估计系统的轨迹到平衡点的时间收敛的上界的可能性。在扭转算法中添加了线性补偿器，以便可以补偿线性增加的扰动。事实上，有限时间稳定性和收敛时间估计的全球有限时间收敛算法。
A second order sliding mode controller, the so- called “Twisting” algorithm is under study. A non-smooth strict Lyapunov function is proposed, such that global finite time stability for this algorithm can be proved even in the case when it is affected by bounded external perturbations. The strict Lyapunov function gives the possibility to estimate an upper bound for the time convergence of the trajectories of the system to the equilibrium point. A linear compensator is added to the twisting algorithm so linearly increasing perturbations can be compensated. Indeed, finite time stability and a convergence time estimation for a global finite time convergence algorithm is shown.