分数阶滑模控制算法在四容水箱中的应用及仿真

doi:10.16039/j.cnki.cn22-1249.2021.07.004

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摘要

针对四容水箱系统存在模型不确定性、动态性能缓慢、耦合严重等问题，设计分数阶滑模控制算法对水箱液位进行控制。对传统整数阶滑模面和趋近率加以改进，得到控制效果更为灵活的分数阶滑模面和趋近率。使用李雅普诺夫理论对分数阶型滑模控制器的渐进稳定条件、适用范围、特性进行理论分析，提出算法的设计方法。通过与分数阶PID控制器比较，仿真实验表明分数阶滑模控制器对给定液位的期望值具有良好的动态性能，有效的减少控制过程中的超调，对系统参数摄动具有良好的鲁棒性。

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	白淏文
	韩光信

关键词: 四容水箱分数阶滑模 PID 液位控制

Abstract:

There are many problems in the four-tank system, such as the model's uncertainty, slow dynamic performance,and serious coupling.Aiming at these problems, this thesis designs a fractional-order sliding mode control algorithm to control the water tank's liquid level. Specifically, the traditional integer-order sliding mode surface and the approaching rate are improved to obtain a fractional-order sliding mode surface and approaching rate with more flexible control effects. Moreover, Lyapunov Theory is applied to theoretically analyze the asymptotic stability conditions, application range, and characteristics of the fractional sliding mode controller, and the algorithm design method is proposed. Through the comparison with the fractional PID controller, the simulation experiment reveals that the fractional sliding mode controller possesses good dynamic performance for the expected value of the given liquid level, can effectively reduces the overshoot in the control process, and has good robustness to the perturbation of system parameters.

Key words: four-tank fractional-order sliding mode PID level control

出版日期: 2021-07-25 发布日期: 2021-07-25 整期出版日期: 2021-07-25

TP273

引用本文:

白淏文, 韩光信. 分数阶滑模控制算法在四容水箱中的应用及仿真 [J]. 吉林化工学院学报, 2021, 38(7): 13-17.
BAI Haowen, HAN Guangxin. Application and Simulation of Fractional-order Sliding Mode Control Algorithm in Four-tank . Journal of Jilin Institute of Chemical Technology, 2021, 38(7): 13-17.

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https://xuebao.jlict.edu.cn/CN/10.16039/j.cnki.cn22-1249.2021.07.004 或 https://xuebao.jlict.edu.cn/CN/Y2021/V38/I7/13

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