PI磁滞非线性系统的动态伪逆补偿控制算法  

Dynamic pseudo inverse compensation control algorithm for PI hysteresis nonlinear systems

作　　者：王清华 刘烨 李洪芹[1] 陈剑雪[1] WANG Qinghua;LIU Ye;LI Hongqin;CHEN Jianxue(School of Electronic and Electrical Engineering,Shanghai University of Engineering Science,Shanghai 201620,China)

机构地区：[1]上海工程技术大学电子电气工程学院,上海201620

出　　处：《传感器与微系统》2023年第8期119-122,共4页Transducer and Microsystem Technologies

基　　金：国家自然科学基金资助项目(61703269);科技创新2030“新一代人工智能”重大项目(2020AAA0109305)。

摘　　要：通过设计磁滞动态伪逆补偿和新型动态面控制来消除非线性系统中未知饱和磁滞的影响。磁滞动态伪逆补偿通过构建辅助滤波器,提出了一种实时在线补偿磁滞的机制,且不需要构建显式磁滞逆和辨识相应的未知参数。此外,基于正时变积分函数设计了新型非线性滤波器,该滤波器不仅避免“微分爆炸”问题,降低计算负担,而且补偿动态面边界层误差,使系统的跟踪误差收敛到零。理论分析表明:该方案能有效地消除未知磁滞的影响,保证闭环系统的稳定。最后,通过仿真实例验证了该方案的有效性。Influence of unknown saturation hysteresis in nonlinear systems is eliminated by designing hysteresis dynamic pseudo inverse compensation and novel dynamic surface control.Hysteresis dynamic pseudo inverse compensation is proposed as a mechanism to compensate hysteresis online by constructing an auxiliary filter,and without constructing an explicit hysteresis inverse and identifying the corresponding unknown parameters.Moreover,a novel nonlinear filter is designed based on the time-varying integral function.This filter not only avoids the problem of"differential explosion"and reduces the computational burden,but also compensates for the boundary layer error of the dynamic surface,so that the tracking error of the system converges to zero.Theoretical analysis shows that the control scheme can effectively eliminate the influence of unknown hysteresis and ensure the stability of the closed-loop system.Finally,effectiveness of the scheme is verified by simulation experiment.

关 键 词：饱和磁滞 动态伪逆补偿 动态面控制 Funnel软件 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TP212[自动化与计算机技术—控制科学与工程]