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为消除滑模控制中的振颤问题，设计一种基于超螺旋算法的T-S模糊广义系统动态滑模控制器。首先，构造一个新型的动态滑模面，利用广义系统描述滑模运动的动态过程，同时使用基于输出反馈动态滑模的控制方法进行系统设计，并利用凸优化与状态输入增强相结合的方法分析出系统渐近稳定的充分条件；其次，采用多变量超螺旋算法设计二阶且连续控制器，可有效减缓滑模控制系统中存在的振颤问题。实验结果表明，所提出的控制器可以使系统状态在有限时间内到达滑模面，并保持稳定的滑动模态，同时也有效消除系统中的振颤问题，提升系统的控制性能。
Abstract：To address the chattering problem in sliding mode control, a dynamic sliding mode controller for T-S fuzzy descriptor system based on the super-twisting algorithm is designed.Firstly, a novel dynamic sliding surface is constructed.The process of dynamic sliding mode motion is described using a descriptor system.Additionally, a control method based on output feedback of dynamic sliding mode is employed for system design.The algorithm combines convex optimization with status-input augmentation to analyze sufficient conditions for asymptotic stability of the system.Secondly, a second-order and continuous controller is designed using a multivariable super-twisting algorithm, which effectively alleviates the chattering inherent in sliding mode control systems.Experimental results demonstrate that the proposed controller enables the system state to reach the sliding surface within a finite time and maintain in a stable sliding mode, effectively eliminating the chattering and enhancing the control performance of the system.
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基本信息:
DOI：
中图分类号:TP13
引用信息:
[1]李翔宇,孙鹏然,高宪文等.基于超螺旋算法的T-S模糊广义系统动态滑模控制器的设计[J].沈阳理工大学学报,2025,44(05):14-20.
基金信息:
国家自然科学基金项目(62173073); 辽宁省教育厅高等学校基本科研项目(LJKMZ20220618、JYTMS20230215)