摘要
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。
To address the chattering problem in sliding mode control,a dynamic sliding mode con-troller 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 de-scribed using a descriptor system.Additionally,a control method based on output feedback of dy-namic 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 sys-tem.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 sys-tems.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.
作者
李翔宇
孙鹏然
高宪文
袁春华
LI Xiangyu;SUN Pengran;GAO Xianwen;YUAN Chunhua(Shenyang Ligong University,Shenyang 110159,China;Northeastern University,Shenyang 110819,China)
出处
《沈阳理工大学学报》
2025年第5期14-20,共7页
Journal of Shenyang Ligong University
基金
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)。
关键词
广义系统
动态滑模控制
输出反馈
超螺旋算法
descriptor system
dynamic sliding mode control
output feedback
super-twisting algorithm
