This paper aims at solving the state filtering problem for linear systems with state constraints. Three classes of typical state constraints, i.e., linear equality, quadratic equality and inequality, are discussed. By...This paper aims at solving the state filtering problem for linear systems with state constraints. Three classes of typical state constraints, i.e., linear equality, quadratic equality and inequality, are discussed. By using the linear relationships among different state variables, a reduced-order Kalman filter is derived for the system with linear equality constraints. Afterwards, such a solution is applied to the cases of the quadratic equality constraint and inequality constraints and the two constrained state filtering problems are transformed into two relative constrained optimization problems. Then they are solved by the Lagrangian multiplier and linear matrix inequality techniques, respectively. Finally, two simple tracking examples are provided to illustrate the effectiveness of the reduced-order filters.展开更多
In this paper,an integrated guidance and control method based on an adaptive path-following controller is proposed to control a spin-stabilized projectile with only translational motion information under the constrain...In this paper,an integrated guidance and control method based on an adaptive path-following controller is proposed to control a spin-stabilized projectile with only translational motion information under the constraint of an actuator,uncertainties in aerodynamic parameters and measurements,and control system complexity.Owing to the fairly high rotation speed,the dynamic model of this missile is strongly nonlinear,uncertain and coupled in pitch,yaw and roll channels.A theoretical equivalent resultant force and uncertainty compensation method are comprehensively used to realize decoupling of pitch and yaw.In response to the strong nonlinear and time-varying characteristics of the dynamic system,the quasi-linear model whose parameters are obtained by interpolation of points selected as the segmentation points in the trajectory envelope,is used for calculation in each step.To cope with the system uncertainty caused by model approximation,parameter uncertainty and ballistic interference,an extended state estimator is used to compensate the output feedback according to the test ballistic angle.In order to improve the tracking efficiency and ensure the tracking error convergence with only translational motion information,the virtual guide point,whose derivative is deduced according to the Lyapunov principle,is calculated in real time according to the projection relationship between the real-time position and the reference trajectory,and a virtual line-of-sight angle and the backstepping method are used for the design of the guidance and control system.In order to avoid the influence of control input saturation on the guidance and control performance due to the actuator limitation and improve the robustness of the system,an anti-saturation compensator is designed according to the two-step method.The feasibility and effectiveness of the path-following controller is verified through closed-loop flight simulations with measurement,control,and condition uncertainties.The results indicate that the designed controller can converge to the reference path and evidently decrease the distance between the impact point and target under different uncertainties.展开更多
针对传统线性扩张状态观测器(linear extended state observer,LESO)低通滤波特性不足以跟踪快速变化的反电动势,导致估计反电动势幅值损失和相位偏差问题,提出一种改进线性扩张状态观测器的永磁轮毂电机无传感器控制算法。将降阶准谐...针对传统线性扩张状态观测器(linear extended state observer,LESO)低通滤波特性不足以跟踪快速变化的反电动势,导致估计反电动势幅值损失和相位偏差问题,提出一种改进线性扩张状态观测器的永磁轮毂电机无传感器控制算法。将降阶准谐振控制器植入传统线性扩张状态观测器的内部模型中,在不同转速下均能获得无幅值衰减和无相位滞后的反电动势,准确估计永磁轮毂电机转子位置与转速,提高永磁轮毂电机在调速和突加减负载时无位置传感器控制算法的可靠性。结果表明:相较于传统LESO,改进后的线性扩张观测器算法在宽转速范围内,转速估计误差为2.3 r/min,位置估计误差仅为0.4°,在负载突变和参数失配的工况下具有较强的鲁棒性和抗干扰能力。展开更多
逆变器中死区时间会带来电流谐波和转矩脉动,从而导致感应电机出现明显振动并增加额外损耗。为减少逆变器死区效应带来的不利影响,提出一种基于高阶扩展状态观测器(high-order extended state observer,HO-ESO)的逆变器死区效应在线补...逆变器中死区时间会带来电流谐波和转矩脉动,从而导致感应电机出现明显振动并增加额外损耗。为减少逆变器死区效应带来的不利影响,提出一种基于高阶扩展状态观测器(high-order extended state observer,HO-ESO)的逆变器死区效应在线补偿方法。首先,对逆变器死区效应进行分析,推导出因死区效应而产生的d、q轴误差电压方程。接着,对传统的基于二阶ESO的死区效应补偿方法进行介绍和分析,由分析结果可知,该方法难以准确估计误差电压,从而导致补偿效果欠佳。进一步,设计一种HO-ESO对误差电压进行估计,并将其补偿到感应电机矢量控制系统中。最后,利用仿真和实验测试对所研究的死区效应补偿方法进行验证,并与传统的基于二阶ESO的死区效应补偿法进行对比。测试结果表明,相较于传统基于二阶ESO的死区效应补偿方法,所研究方法表现出更好的死区效应补偿性能。此外,所研究方法无需检测电流极性,易于实施。展开更多
相比燃油拖拉机,电动拖拉机具有节能高效、绿色清洁的优点。分布式驱动电动拖拉机结构简单、控制维度多,能进一步提高电动拖拉机的工作效率和作业精度。但是电机检测转速噪声导致轮毂电机速度波动严重,复杂路面及多种作业工况下进一步...相比燃油拖拉机,电动拖拉机具有节能高效、绿色清洁的优点。分布式驱动电动拖拉机结构简单、控制维度多,能进一步提高电动拖拉机的工作效率和作业精度。但是电机检测转速噪声导致轮毂电机速度波动严重,复杂路面及多种作业工况下进一步加剧了上述问题,严重降低了拖拉机的作业质量。针对上述问题,该研究提出一种基于sigmoid滤波器的线性自抗扰控制(linear active disturbance rejection control,LADRC)以提高轮毂电机的转速稳定性和抗扰动能力。该控制策略在传统LADRC的基础上引入sigmoid滤波器至扩张状态观测器(extended state observer,ESO),根据输入噪声信号误差变化改变滤波器带宽,以抑制观测误差中的中高频干扰信号,同时避免滤波器积分环节对轮毂电机速度跟踪快速性的影响,具有较快的收敛性。搭建试验平台对所提出控制策略进行试验验证,结果表明:与传统LADRC策略相比,本文所提控制策略在变速和变载工况下的转速脉动分别减小了32%和41.67%,iq电流脉动分别减小了6.25%和4.17%,可在快速、准确跟踪给定转速的同时,大幅提高轮毂电机驱动系统的噪声抑制性能,为复杂环境下电动拖拉机高精度作业提供技术参考。展开更多
基金supported by the National Key Basic Research Development Project (973 Program) (2012CB821205)the Natural Scientific Research Innovation Foundation in Harbin Institute of Technology(HIT.NSRIF.2009004)
文摘This paper aims at solving the state filtering problem for linear systems with state constraints. Three classes of typical state constraints, i.e., linear equality, quadratic equality and inequality, are discussed. By using the linear relationships among different state variables, a reduced-order Kalman filter is derived for the system with linear equality constraints. Afterwards, such a solution is applied to the cases of the quadratic equality constraint and inequality constraints and the two constrained state filtering problems are transformed into two relative constrained optimization problems. Then they are solved by the Lagrangian multiplier and linear matrix inequality techniques, respectively. Finally, two simple tracking examples are provided to illustrate the effectiveness of the reduced-order filters.
基金Supported by National Natural Science Foundation of China(60464001),the Program for 100 Young and Middle-aged Disciplinary Leaders in Guangxi Higher Education Institutions
文摘In this paper,an integrated guidance and control method based on an adaptive path-following controller is proposed to control a spin-stabilized projectile with only translational motion information under the constraint of an actuator,uncertainties in aerodynamic parameters and measurements,and control system complexity.Owing to the fairly high rotation speed,the dynamic model of this missile is strongly nonlinear,uncertain and coupled in pitch,yaw and roll channels.A theoretical equivalent resultant force and uncertainty compensation method are comprehensively used to realize decoupling of pitch and yaw.In response to the strong nonlinear and time-varying characteristics of the dynamic system,the quasi-linear model whose parameters are obtained by interpolation of points selected as the segmentation points in the trajectory envelope,is used for calculation in each step.To cope with the system uncertainty caused by model approximation,parameter uncertainty and ballistic interference,an extended state estimator is used to compensate the output feedback according to the test ballistic angle.In order to improve the tracking efficiency and ensure the tracking error convergence with only translational motion information,the virtual guide point,whose derivative is deduced according to the Lyapunov principle,is calculated in real time according to the projection relationship between the real-time position and the reference trajectory,and a virtual line-of-sight angle and the backstepping method are used for the design of the guidance and control system.In order to avoid the influence of control input saturation on the guidance and control performance due to the actuator limitation and improve the robustness of the system,an anti-saturation compensator is designed according to the two-step method.The feasibility and effectiveness of the path-following controller is verified through closed-loop flight simulations with measurement,control,and condition uncertainties.The results indicate that the designed controller can converge to the reference path and evidently decrease the distance between the impact point and target under different uncertainties.
文摘针对传统线性扩张状态观测器(linear extended state observer,LESO)低通滤波特性不足以跟踪快速变化的反电动势,导致估计反电动势幅值损失和相位偏差问题,提出一种改进线性扩张状态观测器的永磁轮毂电机无传感器控制算法。将降阶准谐振控制器植入传统线性扩张状态观测器的内部模型中,在不同转速下均能获得无幅值衰减和无相位滞后的反电动势,准确估计永磁轮毂电机转子位置与转速,提高永磁轮毂电机在调速和突加减负载时无位置传感器控制算法的可靠性。结果表明:相较于传统LESO,改进后的线性扩张观测器算法在宽转速范围内,转速估计误差为2.3 r/min,位置估计误差仅为0.4°,在负载突变和参数失配的工况下具有较强的鲁棒性和抗干扰能力。
文摘逆变器中死区时间会带来电流谐波和转矩脉动,从而导致感应电机出现明显振动并增加额外损耗。为减少逆变器死区效应带来的不利影响,提出一种基于高阶扩展状态观测器(high-order extended state observer,HO-ESO)的逆变器死区效应在线补偿方法。首先,对逆变器死区效应进行分析,推导出因死区效应而产生的d、q轴误差电压方程。接着,对传统的基于二阶ESO的死区效应补偿方法进行介绍和分析,由分析结果可知,该方法难以准确估计误差电压,从而导致补偿效果欠佳。进一步,设计一种HO-ESO对误差电压进行估计,并将其补偿到感应电机矢量控制系统中。最后,利用仿真和实验测试对所研究的死区效应补偿方法进行验证,并与传统的基于二阶ESO的死区效应补偿法进行对比。测试结果表明,相较于传统基于二阶ESO的死区效应补偿方法,所研究方法表现出更好的死区效应补偿性能。此外,所研究方法无需检测电流极性,易于实施。
文摘相比燃油拖拉机,电动拖拉机具有节能高效、绿色清洁的优点。分布式驱动电动拖拉机结构简单、控制维度多,能进一步提高电动拖拉机的工作效率和作业精度。但是电机检测转速噪声导致轮毂电机速度波动严重,复杂路面及多种作业工况下进一步加剧了上述问题,严重降低了拖拉机的作业质量。针对上述问题,该研究提出一种基于sigmoid滤波器的线性自抗扰控制(linear active disturbance rejection control,LADRC)以提高轮毂电机的转速稳定性和抗扰动能力。该控制策略在传统LADRC的基础上引入sigmoid滤波器至扩张状态观测器(extended state observer,ESO),根据输入噪声信号误差变化改变滤波器带宽,以抑制观测误差中的中高频干扰信号,同时避免滤波器积分环节对轮毂电机速度跟踪快速性的影响,具有较快的收敛性。搭建试验平台对所提出控制策略进行试验验证,结果表明:与传统LADRC策略相比,本文所提控制策略在变速和变载工况下的转速脉动分别减小了32%和41.67%,iq电流脉动分别减小了6.25%和4.17%,可在快速、准确跟踪给定转速的同时,大幅提高轮毂电机驱动系统的噪声抑制性能,为复杂环境下电动拖拉机高精度作业提供技术参考。
