高阶滑模控制理论综述  

A survey for high-order sliding mode control theory

作　　者：刘陆 丁世宏[1] 李世华[2] LIU Lu;DING Shi-hong;LI Shi-hua(School of Electrical and Information Engineering,Jiangsu University,Zhenjiang Jiangsu 212013,China;Key Laboratory of Measurement and Control of Complex Systems of Engineering,Ministry of Education,Southeast University,Nanjing Jiangsu 210096,China)

机构地区：[1]江苏大学电气信息工程学院,江苏镇江212013 [2]东南大学复杂工程系统测量与控制教育部重点实验室,江苏南京210096

出　　处：《控制理论与应用》2022年第12期2193-2201,共9页Control Theory & Applications

基　　金：国家自然科学基金项目(62103170,61973142);江苏省自然科学基金项目(BK20210745);江苏高校优势学科建设工程;东南大学复杂工程系统测量与控制教育部重点实验室开放课题项目(MCCSE2021A03)资助。

摘　　要：滑模控制方法因其结构简单且对系统不确定及外部扰动具有良好的鲁棒性受到人们的广泛关注.因此,目前正处于飞速发展阶段.首先,本文回顾了滑模控制理论的起源,简单介绍了传统一阶滑模控制方法的发展;其次,列举了几种常用的二阶滑模控制方法,并介绍了其工作原理;接着,总结了高阶滑模控制理论的研究现状,主要包括齐次性算法和继电–多项式算法的研究成果;最后,结合高阶滑模控制方法中需要克服的问题,讨论了未来可能的研究方向.The sliding mode control method has been paid much attention due to its simple structure and good robustness to system uncertainty and external disturbance. Therefore, it is in a stage of rapid development. Firstly, the survey reviews the origin of sliding mode control theory and briefly introduces the development of traditional first-order sliding mode control method. Secondly, we list several commonly used second-order sliding mode control methods, and then introduce their working principles. Next, the research status of high-order sliding mode control theory is summarized, mainly including the research results of the homogeneous algorithm and the relay-polynomial algorithm. Finally, combining with the problems that need to be overcome, the future outlook of high-order sliding mode control method is discussed.

关 键 词：高阶滑模 齐次算法 继电–多项式算法 智能滑模 LYAPUNOV方法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]