Wang Jianlin, Xu Dan, Zhou Huan, Bai Anning, Lu Wei
Department of Mechanical Electrical Engineering, Xi'an Jiaotong University, Xi'an, ShanXi, China.
Department of College of Science, Ningxia Medical University, Yinchuan, NingXia, China.
PLoS One. 2017 Oct 30;12(10):e0187152. doi: 10.1371/journal.pone.0187152. eCollection 2017.
This paper presents an adaption of the fractional order terminal sliding mode control (AFTSMC) strategy for DC-DC Buck converter. The following strategy aims to design a novel nonlinear sliding surface function, with a double closed-loop structure of voltage and current. This strategy is a fusion of two characteristics: terminal sliding mode control (TSMC) and fractional order calculation (FOC). In addition, the influence of "the controller parameters" on the "performance of double closed-loop system" is investigated. It is observed that the value of terminal power has to be chosen to make a compromise between start-up and transient response of the converter. Therefore the AFTSMC strategy chooses the value of the terminal power adaptively, and this strategy can lead to the appropriate number of fractional order as well. Furthermore, through the fractional order analysis, the system can reach the sliding mode surface in a finite time. And the theoretical considerations are verified by numerical simulation. The performance of the AFTSMC and TSMC strategies is tested by computer simulations. And the comparison simulation results show that the AFTSMC exhibits a considerable improvement in terms of a faster output voltage response during load changes. Moreover, AFTSMC obtains a faster dynamical response, smaller steady-state error rate and lower overshoot.
本文提出了一种用于DC-DC降压变换器的分数阶终端滑模控制（AFTSMC）策略。以下策略旨在设计一种新颖的非线性滑模面函数，具有电压和电流的双闭环结构。该策略融合了终端滑模控制（TSMC）和分数阶计算（FOC）这两个特性。此外，研究了“控制器参数”对“双闭环系统性能”的影响。可以观察到，必须选择终端功率的值，以便在变换器的启动和瞬态响应之间做出折衷。因此，AFTSMC策略自适应地选择终端功率的值，并且该策略也可以导致合适的分数阶数。此外，通过分数阶分析，系统可以在有限时间内到达滑模面。并且通过数值模拟验证了理论考量。通过计算机模拟测试了AFTSMC和TSMC策略的性能。比较模拟结果表明，AFTSMC在负载变化期间的输出电压响应更快方面表现出相当大的改进。此外，AFTSMC获得了更快的动态响应、更小的稳态误差率和更低的超调量。
