Continuous finite- and fixed-time high-order regulators
Continuous finite- and fixed-time high-order regulators
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DOI：
10.1016/j.jfranklin.2016.09.026
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发表时间：
2016-12
期刊：
影响因子：
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通讯作者：
M. Basin;Y. Shtessel;Fathi M. Aldukali
中科院分区：
文献类型：
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作者：
M. Basin;Y. Shtessel;Fathi M. Aldukali
本文的贡献是双重的。首先，计算有限时间收敛控制算法的收敛（稳定）时间的上限估计，该算法将一系列积分器的状态驱动到原点。据我们所知，这样的估计是第一次。其次，提出了一种新的固定时间连续控制律的任意维数的积分链。它的固定时间收敛性的建立和统一的上界的建立时间计算。理论的发展适用于控制直流电动机的案例研究。
The contribution of this paper is twofold. First, an upper estimate of the convergence (settling) time is calculated for the finite-time convergent control algorithm that drives the state of a series of integrators to the origin. To the best of our knowledge, such an estimate is obtained for the first time. Second, a novel fixed-time continuous control law is proposed for a chain of integrators of an arbitrary dimension. Its fixed-time convergence is established and the uniform upper bound of the settling time is computed. The theoretical developments are applied to a case study of controlling a DC motor.