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谐波驱动系统Back-stepping滑模控制研究
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作者 宋港 陈满意 +3 位作者 邱临风 张杰 杨燃 张瀚 《机械科学与技术》 CSCD 北大核心 2024年第4期559-565,共7页
针对谐波传动系统动力学模型中存在的柔性变形、摩擦和运动误差等非线性因素。为了提高系统的传动精度,针对系统非线性刚度和静态误差因素进行了建模,并提出了一种Back-stepping滑模控制方法。利用Lyapunov稳定性理论,证明了闭环系统的... 针对谐波传动系统动力学模型中存在的柔性变形、摩擦和运动误差等非线性因素。为了提高系统的传动精度,针对系统非线性刚度和静态误差因素进行了建模,并提出了一种Back-stepping滑模控制方法。利用Lyapunov稳定性理论,证明了闭环系统的误差是一致有界的。仿真结果表明,与PID控制相比,采用Back-stepping滑模控制,系统传动误差曲线峰峰值减小66.63%;负载端角速率误差曲线峰峰值减小77.35%。Back-stepping滑模控制能有效地补偿系统传动误差,抑制其负载端的速度波动,提高了系统的传动精度。 展开更多
关键词 谐波驱动系统 静态误差 back-stepping滑模控制 传动误差
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Precision Motion Control of Hydraulic Actuator Using Adaptive Back-Stepping Sliding Mode Controller
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作者 Zhenshuai Wan Longwang Yue +1 位作者 Yanfeng Wang Pu Zhao 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第11期1047-1065,共19页
Hydraulic actuators are highly nonlinear when they are subjected to different types of model uncertainties and dynamic disturbances.These unfavorable factors adversely affect the control performance of the hydraulic a... Hydraulic actuators are highly nonlinear when they are subjected to different types of model uncertainties and dynamic disturbances.These unfavorable factors adversely affect the control performance of the hydraulic actuator.Although various control methods have been employed to improve the tracking precision of the dynamic system,optimizing and adjusting control gain to mitigate the hydraulic actuator model uncertainties remains elusive.This study presents an adaptive back-stepping sliding mode controller(ABSMC)to enhance the trajectory tracking precision,where the virtual control law is constructed to replace the position error.The adaptive control theory is introduced in back-stepping controller design to compensate for the model uncertainties and time-varying disturbances.Based on Lyapunov theory,the finite-time convergence of the position tracking errors is proved.Furthermore,the effectiveness of the developed control scheme is conducted via extensive comparative experiments. 展开更多
关键词 Hydraulic actuator back-stepping control adaptive control model uncertainties
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高超声速飞行器基于Back-stepping的离散控制器设计 被引量:13
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作者 高道祥 孙增圻 杜天容 《控制与决策》 EI CSCD 北大核心 2009年第3期459-463,467,共6页
根据高超声速飞行器纵向模型的特点,提出了基于Back-stepping的离散控制器设计方法.首先通过合理的简化,将飞行器的模型转化为连续非线性系统的严格反馈形式;然后采用欧拉法得到其近似的离散模型,根据近似离散模型并结合Back-stepping... 根据高超声速飞行器纵向模型的特点,提出了基于Back-stepping的离散控制器设计方法.首先通过合理的简化,将飞行器的模型转化为连续非线性系统的严格反馈形式;然后采用欧拉法得到其近似的离散模型,根据近似离散模型并结合Back-stepping和反馈线性化方法,设计了高超声速飞行器的离散控制器.利用高超声速飞行器的纵向模型对算法进行仿真验证,得到了较为满意的控制效果. 展开更多
关键词 高超声速飞行器 离散控制 back-stepping 飞行控制
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A Back-stepping Based Trajectory Tracking Controller for a Non-chained Nonholonomic Spherical Robot 被引量:6
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作者 战强 刘增波 蔡尧 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2008年第5期472-480,共9页
Spherical robot has good static and dynamic stability, which provides it with strong viability in hostile environment, but the lack of effective control methods has hindered its application and development. This artic... Spherical robot has good static and dynamic stability, which provides it with strong viability in hostile environment, but the lack of effective control methods has hindered its application and development. This article deals with the dynamic trajectory tracking problem of the spherical robot BHQ-2 designed for unmanned environment exploration. The dynamic model of the spherical robot is established with a simplified Boltzmann-Hamel equation, based on which a trajectory tracking controller is designed by using the back-stepping method. The convergence of the controller is proved with the Lyapunov stability theory. Numerical simulations show that with the controller the robot can globally and asymptotically track desired trajectories, both linear and circular. 展开更多
关键词 spherical mobile robot trajectory tracking control back-stepping Lyapunov function
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汽车电子节气门Back-stepping滑模控制器设计 被引量:7
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作者 刘尚 童亮 +1 位作者 谢明伟 路艳群 《科学技术与工程》 北大核心 2017年第3期114-120,144,共8页
建立包含黏滞摩擦模型、复位弹簧模型及齿轮间隙模型的电子节气门系统的数学模型,并针对节气门系统的非线性特性设计了基于非线性终端滑模面的Back-steeping滑模控制器,可以提高系统收敛速度,降低系统误差并消除系统抖动。同时,针对控... 建立包含黏滞摩擦模型、复位弹簧模型及齿轮间隙模型的电子节气门系统的数学模型,并针对节气门系统的非线性特性设计了基于非线性终端滑模面的Back-steeping滑模控制器,可以提高系统收敛速度,降低系统误差并消除系统抖动。同时,针对控制系统中不确定扰动及电子节气门阀板角速度和电机电流不可测量变量设计了非线性扩张状态观测器,实现了系统不可测量变量和不确定扰动准确估计。通过搭建ds PACE快速控制原型环境,并针对电子节气门的实际应用工况对设计的控制器进行了实验验证。实验结果表明所设计Back-stepping滑模控制器对目标角度跟踪精度高,收敛速度快且无超调,可以满足电子节气门的控制要求。 展开更多
关键词 电子节气门 back-stepping滑模控制 非线性扩张状态观测器 dsPACE快速控制原型
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基于Back-stepping的轮式机器人轨迹跟踪 被引量:4
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作者 吴剑 黄晓娟 江维 《南昌航空大学学报(自然科学版)》 CAS 2012年第4期89-93,共5页
轮式机器人属于一种典型的非完整约束系统。为了解决它的全局轨迹跟踪控制,提出了一种Back-stepping算法设计:先将非线性系统分解成若干个子系统,然后对这些子系统分步构造李亚普诺夫函数和中间虚拟控制量,并一直"反推"至整... 轮式机器人属于一种典型的非完整约束系统。为了解决它的全局轨迹跟踪控制,提出了一种Back-stepping算法设计:先将非线性系统分解成若干个子系统,然后对这些子系统分步构造李亚普诺夫函数和中间虚拟控制量,并一直"反推"至整个系统控制律基于Back-stepping的轮式机器人轨迹跟踪控制设计的完成,算法具有结构简单、参数少、易于编程实现及全局收敛性等优点。基于机器人运动学模型采用Back-stepping算法设计控制器,有效解决了轮式机器人轨迹跟踪问题。数值仿真结果表明,所述方法正确有效。 展开更多
关键词 轮式机器人 非完整约束 back-stepping 轨迹跟踪
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Back-Stepping Control for Flexible Air-Breathing Hypersonic Vehicles Based on Uncertainty and Disturbance Estimator 被引量:2
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作者 Lin Cao Dong Zhang Ao Zhang 《Journal of Beijing Institute of Technology》 EI CAS 2020年第4期504-513,共10页
A theoretical framework of nonlinear flight control for a flexible air-breathing hypersonic vehicle(FAHV)is proposed in this paper.In order to suppress the system uncertainty and external disturbance,an uncertainty an... A theoretical framework of nonlinear flight control for a flexible air-breathing hypersonic vehicle(FAHV)is proposed in this paper.In order to suppress the system uncertainty and external disturbance,an uncertainty and disturbance estimator(UDE)based back-stepping control strategy is designed for a dynamic state-feedback controller to provide stable velocity and altitude tracking.Firstly,the longitudinal dynamics of FAHV is simplified into a closure loop form with lumped uncertainty and disturbance.Then the UDE is applied to estimate the lumped uncertainty and disturbance for the purpose of control input compensation.While a nonlinear tracking differentiator is introduced to solve the problem of“explosion of term”in the back-stepping control.The stability of the UDE-based control strategy is proved by using Lyapunov stability theorem.Finally,simulation results are presented to demonstrate the capacity of the proposed control strategy. 展开更多
关键词 flexible air-breathing hypersonic vehicle(FAHV) uncertainty and disturbance estimator(UDE) back-stepping control
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Adaptive Back-Stepping Control of Automotive Electronic Control Throttle
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作者 Nobuo Kurihara Hiroyuki Yamaguchi 《Journal of Software Engineering and Applications》 2017年第1期41-55,共15页
Back-stepping control (BSC), which is deemed effective for a non-holonomic system, is applied to improving both responsiveness and resolution performance of an electronic control throttle (ECT) used in automotive engi... Back-stepping control (BSC), which is deemed effective for a non-holonomic system, is applied to improving both responsiveness and resolution performance of an electronic control throttle (ECT) used in automotive engines. This paper is characterized by the use of a two-step type BSC in a manner that achieves an improvement in responsiveness with the ETC operated in a fully opened state by adding a derivative term in Step 1 and the improvement in resolution performance with the ETC operated in a minutely opened state by adding an adaptive feature in the form of an integral term using the control deviation in Step 2. This paper presents an ECT control expressed as a second-order system including nonlinearities such as backlash of gear train and static friction in sliding area, a BSC system designed based on Lyapunov stability, and a determination method for control parameters. Also, a two-step type BSC system is formulated using Matlab/Simulink with a physics model as a control object. As a result of simulation analyses, it becomes clear that the BSC system can achieve quicker response because the derivative term works effectively and finer resolution because the adaptive control absorbs the error margin of the nonlinear compensation than conventional PID control. 展开更多
关键词 back-stepping CONTROL ADAPTIVE CONTROL ELECTRONIC THROTTLE AUTOMOTIVE ENGINE
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一种新的分数阶系统稳定理论及在back-stepping方法同步分数阶混沌系统中的应用 被引量:31
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作者 胡建兵 韩焱 赵灵冬 《物理学报》 SCIE EI CAS CSCD 北大核心 2009年第4期2235-2239,共5页
对阶次小于1的分数阶系统的稳定问题,提出了一种新的判据.基于该理论,将back-stepping方法拓展到分数阶系统中并设计控制器实现了分数阶Newton-Leipnik混沌系统的同步.数值仿真验证了稳定性理论的准确性及控制器设计方法的有效性.
关键词 分数阶 同步 back-stepping方法 Newton-Leipnik
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Comparison of the Back-Stepping and PID Control of the Three-phase Inverter with Fully Consideration of Implementation Cost and Performance 被引量:2
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作者 Jinsong He Xin Zhang 《Chinese Journal of Electrical Engineering》 CSCD 2018年第2期82-89,共8页
The three-phase inverter with LC filter has been widely applied in many industrial areas,mainly for non-connected grid utilization.Meanwhile,the standard of power quality needed in industrial applications tends to gro... The three-phase inverter with LC filter has been widely applied in many industrial areas,mainly for non-connected grid utilization.Meanwhile,the standard of power quality needed in industrial applications tends to grow as time goes by,requiring more advanced and economical control strategies to fulfil this objective without comprising the stability of the system.For this reason,a comparative study of Back-stepping control strategy and PID control method are presented in this paper,based on an unconnected-to-grid three-phase inverter with LC filter.The control purpose is to produce sinusoidal load currents with amplitude and frequency fixed by a reference signal,where both steady state performance as well as transient performance are examined and compared,with fully consideration of implementation cost.Two controllers have been built in a Matlab/Simulink environment,where Park transformation(abc/dq0)and bipolar Sinusoidal Pulse Width Modulation(SPWM)strategy are implemented.For validation,hardware verification is also presented based on dSPACE DS1103 control-based prototype. 展开更多
关键词 Steady state SPWM dynamic PID control back-stepping control THD COMPARISON
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Influence of rooftop telecommunication tower on set back-step back building resting on different ground slopes 被引量:2
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作者 Amit Thakur Deepankar Kumar Ashish Surender Kumar Verma 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2019年第2期351-362,共12页
In the hilly region due to scarcity of the plain area, buildings like set back-step back are more often used and also as a big surge in the telecommunication industries, rooftop tower adaptation is very common story n... In the hilly region due to scarcity of the plain area, buildings like set back-step back are more often used and also as a big surge in the telecommunication industries, rooftop tower adaptation is very common story nowadays. In the present study an analogy has been drawn to find out the influence of the rooftop telecommunication tower on the setback-step back building resting on ground at 20° and 30° slopes. A dynamic analysis has been performed and compared on the 4 legged angled section telecommunication tower which is located on the roof top of set back-step back building by varying positions of tower with the existing host structure built up on ground slope of 20° and 30° in both directions(X and Y). 展开更多
关键词 rooftop telecommunication tower SET back-step BACK BUILDING response spectrum analysis steel RC frame earthquake SAP2000
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液力自动变速器换挡过程的反演优化控制 被引量:6
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作者 赵鑫鑫 杨珏 +1 位作者 张静 张文明 《农业工程学报》 EI CAS CSCD 北大核心 2016年第S1期27-33,共7页
为了将换挡品质优化问题转化为单一目标轨迹跟踪问题,运用Back-stepping控制进行液力自动变速器换挡过程控制的优化,该文通过分析换挡过程中各阶段变速器分离离合器与结合离合器运动状态,建立了离合器输出扭矩数学模型,利用变速器输入... 为了将换挡品质优化问题转化为单一目标轨迹跟踪问题,运用Back-stepping控制进行液力自动变速器换挡过程控制的优化,该文通过分析换挡过程中各阶段变速器分离离合器与结合离合器运动状态,建立了离合器输出扭矩数学模型,利用变速器输入、输出转速变化,观测结合离合器转速情况,设定目标轨迹。结合输入状态稳定理论(ISS,input-to-state stable)设计了滑摩控制器,改变离合器控制电磁阀结合电流,实现了结合离合器转速对目标转速轨迹的跟踪。联合仿真结果表明,滑摩控制器输出结果对目标轨迹跟踪紧密,有效提高了液力机械自动变速器换挡品质。 展开更多
关键词 车辆 变速器 优化 换挡品质 back-stepping控制 轨迹跟踪
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含K类函数和附加控制量的自适应L_2励磁控制 被引量:7
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作者 谷志锋 朱长青 +1 位作者 邵天章 王文婷 《控制理论与应用》 EI CAS CSCD 北大核心 2016年第2期257-264,共8页
为了简化常规非线性自适应L_2增益控制计算和加快控制系统状态变量的稳定收敛速度,通过引入附加控制变量和K类函数,克服了每次虚拟函数设计时都要考虑γ–耗散不等式的不足,保证了L_2增益控制能力随误差变量的增加而增强,给出了一种含... 为了简化常规非线性自适应L_2增益控制计算和加快控制系统状态变量的稳定收敛速度,通过引入附加控制变量和K类函数,克服了每次虚拟函数设计时都要考虑γ–耗散不等式的不足,保证了L_2增益控制能力随误差变量的增加而增强,给出了一种含附加控制变量和K类函数的非线性自适应L_2增益控制的通式,并以具体军用电站谐波励磁系统为对象,进行了仿真实验.仿真结果表明,相对于传统L_2增益控制,该方法可提高状态变量的收敛速度,并可加强军用电站励磁系统的动态稳定性. 展开更多
关键词 励磁系统 自适应L2增益控制 军用电站 改进back-stepping控制 附加控制变量
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舰船编队避碰的自适应控制研究 被引量:5
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作者 邓蕴 《舰船科学技术》 北大核心 2017年第20期31-33,共3页
海上运输是一种重要的货物流通方式,随着人们对海洋资源的进一步开发,海上运输、资源开采、石油开发等工业行为对海上交通运输条件提出更高要求。为了改善日益拥堵的海上交通,防止出现船舶碰撞等海上交通事故,世界各国对船舶避碰技术投... 海上运输是一种重要的货物流通方式,随着人们对海洋资源的进一步开发,海上运输、资源开采、石油开发等工业行为对海上交通运输条件提出更高要求。为了改善日益拥堵的海上交通,防止出现船舶碰撞等海上交通事故,世界各国对船舶避碰技术投入了大量的研究,其中,舰船编队的避碰控制技术是研究的重点。本文在传统的非线性控制系统基础上,结合自适应模糊控制算法和Matlab仿真技术,对舰船编队在未知环境干扰条件下的避碰、避障等技术进行系统研究,提出一种舰船编队的模糊自适应避碰方法,并进行仿真分析。 展开更多
关键词 舰船编队 避碰控制 back-stepping MATLAB
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一种新的模糊控制器设计方法
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作者 刘立祥 谢剑英 张敬辕 《上海交通大学学报》 EI CAS CSCD 北大核心 2001年第11期1757-1760,共4页
针对一类非线性系统 ,将 Back- Stepping设计方法同模糊控制技术结合起来 ,设计了一种新的模糊控制器 .给出了这种控制器的性能 ,并在所有信号一致有界的意义上证明了系统的稳定性 .仿真结果表明 ,该控制器能达到预定的目的 .
关键词 模糊控制器 自适应算法 back-stepping设计 稳定性 万能逼近定理 模糊逻辑系统
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自抗扰控制器在高阶系统中仿真实现 被引量:5
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作者 张茜丹 尹达一 《航天控制》 CSCD 北大核心 2018年第1期3-7,13,共6页
运用2种方法将自抗扰控制器(ADRC)推广到高阶系统中。第1种方法是利用Back-stepping思想,将低阶ADRC串联起来实现对高阶被控对象的控制。另一种方法实现其关键部分:跟踪微分器(TD)、扩展状态观测器(ESO)的高阶设计,结合误差反馈设计组... 运用2种方法将自抗扰控制器(ADRC)推广到高阶系统中。第1种方法是利用Back-stepping思想,将低阶ADRC串联起来实现对高阶被控对象的控制。另一种方法实现其关键部分:跟踪微分器(TD)、扩展状态观测器(ESO)的高阶设计,结合误差反馈设计组成一个完整的自抗扰控制器。针对具体的高阶对象,在用第一种方法设计的高阶ADRC的作用下,系统带宽2Hz,对扰动的抑制带宽为515Hz;在用第2种方法设计的高阶ADRC的作用下,系统带宽15Hz,对扰动的抑制带宽为45Hz,验证了这2种设计方法的有效性与优越性。 展开更多
关键词 自抗扰控制器(ADRC) 高阶系统 back-stepping
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考虑约束的发电机励磁和汽门开度backstepping协调控制器设计 被引量:1
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作者 贾敏 孙丽颖 《辽宁工业大学学报(自然科学版)》 2016年第5期291-295,共5页
针对电力系统的稳定问题,通过采用back-stepping方法设计了考虑发电机转子角速度存在约束时的励磁与汽门开度协调控制器。采用李雅普诺夫函数理论的直接法设计非线性控制器,不但很好地保留了系统原有的非线性特征,而且保证了系统的稳定... 针对电力系统的稳定问题,通过采用back-stepping方法设计了考虑发电机转子角速度存在约束时的励磁与汽门开度协调控制器。采用李雅普诺夫函数理论的直接法设计非线性控制器,不但很好地保留了系统原有的非线性特征,而且保证了系统的稳定性控制。最后通过MATLAB软件对系统进行仿真,仿真结果表明,在系统发生故障时,所设计的控制器保证了发电机的转子角速度始终限制在设定的范围内。 展开更多
关键词 励磁 汽门 back-stepping方法 LYAPUNOV理论
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Switching control of morphing aircraft based on Q-learning 被引量:22
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作者 Ligang GONG Qing WANG +1 位作者 Changhua HU Chen LIU 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2020年第2期672-687,共16页
This paper investigates a switching control strategy for the altitude motion of a morphing aircraft with variable sweep wings based on Q-learning.The morphing process is regarded as a function of the system states and... This paper investigates a switching control strategy for the altitude motion of a morphing aircraft with variable sweep wings based on Q-learning.The morphing process is regarded as a function of the system states and a related altitude motion model is established.Then,the designed controller is divided into the outer part and inner part,where the outer part is devised by a combination of the back-stepping method and command filter technique so that the’explosion of complexity’problem is eliminated.Moreover,the integrator structure of the altitude motion model is exploited to simplify the back-stepping design,and disturbance observers inspired from the idea of extended state observer are devised to obtain estimations of the system disturbances.The control input switches from the outer part to the inner part when the altitude tracking error converges to a small value and linear approximation of the altitude motion model is applied.The inner part is generated by the Q-learning algorithm which learns the optimal command in the presence of unknown system matrices and disturbances.It is proved rigorously that all signals of the closed-loop system stay bounded by the developed control method and controller switching occurs only once.Finally,comparative simulations are conducted to validate improved control performance of the proposed scheme. 展开更多
关键词 back-stepping COMMAND filter DISTURBANCE OBSERVER MORPHING aircraft Q-LEARNING SWITCHING control
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Modeling and control of a novel electro-hydrostatic actuator with adaptive pump displacement 被引量:11
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作者 Yan WANG Shengrong GUO Hongkang DONG 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2020年第1期365-371,共7页
The variable pump displacement and variable motor speed electro-hydrostatic actuator(EHA),one of the three types of EHAs,has advantages such as short response time,flexible speed regulation,and high efficiency.However... The variable pump displacement and variable motor speed electro-hydrostatic actuator(EHA),one of the three types of EHAs,has advantages such as short response time,flexible speed regulation,and high efficiency.However,the nonlinearity of its double-input single-output system poses a great challenge for system control.This study proposes a novel EHA with adaptive pump displacement and variable motor speed(EHA-APVM).A closed-loop position is realized using a servomotor.Moreover,the displacement varies with the system pressure;thus,the EHA-APVM is a single-input and single-output system.Firstly,the working principles of the EHA-APVM and the pump used in the system are introduced.Secondly,a nonlinear mathematical model of the proposed EHA-APVM control system is established,and a feedback back-stepping(FBBS)control algorithm is introduced to transform the complex nonlinear system into a linear system on the basis of the back-stepping control theory.Finally,simulation results prove that the EHA-APVM has a quick response and high robustness to variations of the load and the pump displacement.In this work,the size and weight of the motor are significantly reduced because the maximum power requirement is reduced,which is very beneficial for using the actuator in airborne equipment. 展开更多
关键词 Adaptive DISPLACEMENT PUMP back-stepping control Electro-hydrostatic actuator Feedback LINEARIZATION Robustness
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Adaptive backstepping finite-time sliding mode control of spacecraft attitude tracking 被引量:9
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作者 Chutiphon Pukdeboon 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2015年第4期826-839,共14页
This paper investigates the finite-time attitude tracking problem for rigid spacecraft. Two backstepping finite-time slid- ing mode control laws are proposed to solve this problem in the presence of inertia uncertaint... This paper investigates the finite-time attitude tracking problem for rigid spacecraft. Two backstepping finite-time slid- ing mode control laws are proposed to solve this problem in the presence of inertia uncertainties and external disturbances. The first control scheme is developed by combining sliding mode con- trol with a backstepping technique to achieve fast and accurate tracking responses. To obtain higher tracking precision and relax the requirement of the upper bounds on the uncertainties, a se- cond control law is also designed by combining the second or- der sliding mode control and an adaptive backstepping technique. This control law provides complete compensation of uncertainty and disturbances. Although it assumes that the uncertainty and disturbances are bounded, the proposed control law does not require information about the bounds on the uncertainties and disturbances. Finite-time convergence of attitude tracking errors and the stability of the closed-loop system are ensured by the Lya- punov approach. Numerical simulations on attitude tracking control of spacecraft are provided to demonstrate the performance of the proposed controllers. 展开更多
关键词 attitude tracking control sliding mode control back-stepping design finite-time convergence.
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