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压电微定位系统自适应鲁棒有限时间跟踪控制 被引量:12
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作者 康升征 吴洪涛 +2 位作者 杨小龙 李耀 程世利 《农业机械学报》 EI CAS CSCD 北大核心 2018年第8期403-410,共8页
针对压电微定位系统中存在外界扰动、迟滞等时变不确定、非线性因素影响其定位精度的问题,提出了一种基于函数逼近的自适应鲁棒有限时间控制策略。通过引入具有连续、非奇异,且有限时间收敛特性的终端滑模面,设计了满足压电微定位系统... 针对压电微定位系统中存在外界扰动、迟滞等时变不确定、非线性因素影响其定位精度的问题,提出了一种基于函数逼近的自适应鲁棒有限时间控制策略。通过引入具有连续、非奇异,且有限时间收敛特性的终端滑模面,设计了满足压电微定位系统的轨迹跟踪控制律。为了克服该控制器依赖于系统不确定量的边界信息,采用傅里叶级数进行动态逼近,并针对其逼近误差,利用模糊逻辑系统实现在线补偿。最后,应用Lyapunov函数获得傅里叶系数及模糊调节参数的自适应律,并证明了该控制器的有限时间稳定性。仿真分析与实验结果验证了控制策略的鲁棒性与有效性。 展开更多
关键词 压电定位系统 自适应控制 终端滑模 模糊逻辑系统 函数逼近
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Modeling and sliding mode control based on inverse compensation of piezo-positioning system
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作者 LI Zhi-bin XIN Yuan-ze +1 位作者 ZHANG Jian-qiang SUN Chong-shang 《中国光学(中英文)》 北大核心 2025年第1期170-185,共16页
In order to enhance the control performance of piezo-positioning system,the influence of hysteresis characteristics and its compensation method are studied.Hammerstein model is used to represent the dynamic hysteresis... In order to enhance the control performance of piezo-positioning system,the influence of hysteresis characteristics and its compensation method are studied.Hammerstein model is used to represent the dynamic hysteresis nonlinear characteristics of piezo-positioning actuator.The static nonlinear part and dynamic linear part of the Hammerstein model are represented by models obtained through the Prandtl-Ishlinskii(PI)model and Hankel matrix system identification method,respectively.This model demonstrates good generalization capability for typical input frequencies below 200 Hz.A sliding mode inverse compensation tracking control strategy based on P-I inverse model and integral augmentation is proposed.Experimental results show that compared with PID inverse compensation control and sliding mode control without inverse compensation,the sliding mode inverse compensation control has a more ideal step response and no overshoot,moreover,the settling time is only 6.2 ms.In the frequency domain,the system closed-loop tracking bandwidth reaches 119.9 Hz,and the disturbance rejection bandwidth reaches 86.2 Hz.The proposed control strategy can effectively compensate the hysteresis nonlinearity,and improve the tracking accuracy and antidisturbance capability of piezo-positioning system. 展开更多
关键词 piezo-positioning system hysteresis nonlinearity Hammerstein model Prandtl-Ishlinskii(P-I)model system identification sliding mode control
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