摘要
针对磁悬浮球系统存在建模误差与未知扰动导致控制性能下降的问题,设计了一种基于高增益扰动观测器(HGDO)的自适应非奇异终端滑模控制(ANTSMC)方法。建立磁悬浮球系统模型,并在平衡点处将模型线性化;为削弱滑模控制器的抖振并保证系统误差在有限时间收敛,设计了自适应非奇异终端滑模控制器,同时,采用高增益扰动观测器对系统中存在的总扰动进行估计,并通过理论验证了所设计高增益扰动观测器可以快速收敛到实际扰动值的可调邻域,基于扰动估计值设计带扰动补偿的自适应非奇异终端滑模控制律,并证明了在该控制律下系统是全局一致最终有界的;通过仿真验证了所设计方法在不同目标轨迹下的有效性。仿真与定量分析表明:与带广义比例积分观测器的控制器相比,带高增益扰动观测器的控制器对总扰动观测值的积分时间乘方误差(ITSE)降低了75%,积分时间绝对误差(ITAE)降低了60%,从而提高了在相同控制方法下系统的鲁棒性。
Using a high-gain disturbance observer(HGDO),a self-adaptive nonsingular terminal sliding mode control(ANTSMC)approach is devised to solve the issue of control performance degradation in magnetic levitation ball systems caused by modeling errors and unknown disturbances.First,a model of the maglev ball system is developed and the model is linearized at the equilibrium point.Then,to weaken the chattering of the sliding mode controller and guarantee the finite-time convergence of tracking errors,an adaptive nonsingular terminal sliding mode controller is designed.To estimate the lumped disturbance,a high-gain disturbance observer is employed.Theoretical convergence findings demonstrate that the suggested high-gain disturbance observer may rapidly converge to an adjustable neighborhood of real disturbance values.Adaptive nonsingular terminal sliding mode control law with disturbance compensation is designed based on the disturbance estimation,the system is proven globally uniformly and ultimately bounded under the control law.According to simulation and quantitative analysis,the system's robustness under the same control method is improved when the controller with a high-gain disturbance observer lowers the integral time squared error(ITSE)value by 75%and the integral time absolute error(ITAE)value by 60%for the total disturbance observation error when compared to the controller with a generalized proportional-integral observer.
作者
林俊亭
陈信州
LIN Junting;CHEN Xinzhou(School of Automation and Electrical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)
出处
《北京航空航天大学学报》
北大核心
2025年第6期1897-1906,共10页
Journal of Beijing University of Aeronautics and Astronautics
基金
国家自然科学基金(52162050)。
关键词
磁悬浮球系统
滑模控制
高增益扰动观测器
扰动补偿
轨迹跟踪
magnetic levitation ball system
sliding mode control
high-gain disturbance observer
disturbance compensation
trajectory tracking
