基于新型幂次指数趋近律滑模控制算法的研究  

Research on Sliding Mode Control Algorithm Based on New Power Exponential Reaching Law

作　　者：袁臣虎 侯东旭 刘晓明 YUAN Chen-hu;HOU Dong-xu;LIU Xiao-ming(School of Electronics and Information Engineering,Tiangong University,Tianjin 300387,China;School of Electrical Engineering,Tiangong University,Tianjin 300387,China;State Key Laboratory of Reliability and Intelligence of Electrical Equipment,Hebei University of Technology,Tianjin 300130,China)

机构地区：[1]天津工业大学电子与信息工程学院,天津300387 [2]天津工业大学电气工程学院,天津300387 [3]河北工业大学省部共建电工装备可靠性与智能化国家重点实验室,天津300130

出　　处：《计算机仿真》2024年第3期327-333,共7页Computer Simulation

基　　金：河北省自然科学基金重点项目(E2020202086)。

摘　　要：针对传统滑模控制存在抖振与收敛速度缓慢的问题,提出一种新型幂次指数趋近律的滑模控制方法。首先上述趋近律结合了双曲正切函数与符号函数的特征进行了切换函数上的改进,滑模系数影响因子引入了系统误差与滑模状态变化量,使其能够自适应调节滑模到达过程的收敛速度并对其进行分阶段调节,还利用切换函数的特征分析了趋近滑模面双侧切换区间的范围;其次分析了自适应新型幂次指数趋近律的收敛区域和收敛时间,并证明了此趋近律的存在性、可达性与稳定性;最后将新型幂次指数趋近律和其它各种传统趋近律运用到经典二阶系统进行了对比,仿真结果表明新型幂次指数趋近律能够更好的提升收敛速率以及削弱抖振的产生。Aiming at the problems of chattering and slow convergence in traditional sliding mode control,a new adaptive sliding mode control method based on exponential reaching law is proposed in this paper.First of all,the above approach law combines the characteristics of hyperbolic tangent function and sign function to improve the switching function;The sliding mode coefficient influence factor introduces system error and sliding mode state changes,enabling it to adaptively adjust the convergence speed of the sliding mode arrival process and adjust it in stages;Furthermore,the characteristics of the switching function are used to analyze the range of the bilateral switching interval of the approaching sliding mode surface.Secondly,the convergence area and convergence time of the adaptive new power exponential reaching law are analyzed,and the existence,reachability and stability of the reaching law are proved.Finally,the new power exponential reaching law is compared with other traditional reaching laws applied to the classical second-order system.The simulation results show that the new power exponential reaching law can better improve the convergence rate and reduce chattering.

关 键 词：滑模控制 幂次指数趋近律 到达过程 抖振 收敛速度 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]