On fractional adaptive control
On fractional adaptive control
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DOI：
10.1007/s11071-006-0159-x
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发表时间：
2006-03-01
影响因子：
5.6
通讯作者：
Charef, A
中科院分区：
文献类型：
--
作者：
Ladaci, S;Charef, A
在自适应控制回路中引入分数算子，特别是在模型参考自适应控制（MRAC）中，已被证明是提高响应时间和抗扰性的一种很好的方法。在自适应算法中引入分数算子的想法是最近才出现的，需要更多的建立，这就是为什么许多研究团队都在研究这个问题。在此之前，一些作者在自适应方案中引入分数阶模型参考，然后使用分数阶积分直接处理控制规则。我们在本文中的原始贡献是使用了植物输出的分数阶导数反馈，表明该方案等效于分数阶积分，对系统动力学行为具有一定的有利作用，并且具有良好的鲁棒性效果。数值仿真结果表明了所提出的分数阶自适应方案的有效性。
Introducing fractional operators in the adaptive control loop, and especially in Model Reference Adaptive Control (MRAC), has proven to be a good mean for improving the plant dynamics with respect to response time and disturbance rejection. The idea of introducing fractional operators in adaptation algorithms is very recent and needs to be more established, that is why many research teams are working on the subject. Previously, some authors have introduced a fractional model reference in the adaptation scheme, and then fractional integration has been used to deal directly with the control rule. Our original contribution in this paper is the use of a fractional derivative feedback of the plant output, showing that this scheme is equivalent to the fractional integration, one with a certain benefit action on the system dynamical behaviour and a good robustness effect. Numerical simulations are presented to show the effectiveness of the proposed fractional adaptive schemes.