Structural nonlinearities such as freeplay will affect the stability and even flight safety of the fin-actuator system.There is a lack of a practical method for designing Active Flutter Suppression (AFS) control laws ...Structural nonlinearities such as freeplay will affect the stability and even flight safety of the fin-actuator system.There is a lack of a practical method for designing Active Flutter Suppression (AFS) control laws for nonlinear fin-actuator systems.A design method for the AFS controller of the nonlinear all-movable fin-electromechanical actuator system is established by combining the inverse system and the Immersion and Invariance (I&I) theory.First,the composite control law combining the inverse system principle and internal model control is used to offset the nonlinearity and dynamics of the actuator,so that its driving torque can follow the ideal signal.Then,the ideal torque of the actuator is designed employing the I&I theory.The unfavorable oscillation of the fin is suppressed by making the output torque of the actuator track the ideal signal.The simulation results reveal that the proposed AFS method can increase the flutter speed of the nonlinear finactuator system with freeplay,and a set of controller parameters is also applicable for wider freeplay within a certain range.The power required for the actuator does not exceed the power that can be provided by the commonly used aviation actuator.This method can also resist a certain level of noise and external disturbance.展开更多
This paper proposes a robust Immersion and Invariance(I&I)adaptive coordinated controller for a class of uncertain linear-motor-driven biaxial gantry system subject to external disturbances for high-accuracy conto...This paper proposes a robust Immersion and Invariance(I&I)adaptive coordinated controller for a class of uncertain linear-motor-driven biaxial gantry system subject to external disturbances for high-accuracy contour tracking.Firstly,the dynamic model of the gantry system is transformed into task coordinate frame,through which the contour tracking can be regarded as a regulation problem.Based on the transformed system dynamics,an I&I-based adaptation law with smooth projection is proposed to estimate the unknown parameters.Different from traditional adaptive control,the proposed robust I&I adaptive control introduces a new term called tuning function in adaptation law to shape the dynamic behaviour of the estimation vector.Then the stability of the closed-loop system is proved by Lyapunov theory.Finally,comparative experiments are executed on an industrial biaxial gantry system with two different cases to verify the effectiveness of the proposed control law.展开更多
针对永磁同步电机,基于浸入与不变(immersion and invariance,I&I)理论构建反电动势和负载转矩观测器,从而提出无传感控制方案。首先,用低通滤波器对电机的电压与电流信号进行滤波处理;然后,通过分析滤波前后的信号,应用I&I理...针对永磁同步电机,基于浸入与不变(immersion and invariance,I&I)理论构建反电动势和负载转矩观测器,从而提出无传感控制方案。首先,用低通滤波器对电机的电压与电流信号进行滤波处理;然后,通过分析滤波前后的信号,应用I&I理论建立不变流形,根据不变流形的稳定性与可控性,提出系统自适应律来构建反电动势观测器,并根据得到的反电动势的估计值,采用反正切法求解转子位置和速度的估计值;其次,基于I&I理论利用转速估计值构建负载转矩观测器以得到负载转矩估计值;最后,采用反步法基于估计的转速与负载转矩设计了转速环控制器并证明了闭环稳定性,实现了永磁同步电机的无传感器控制。仿真研究结果表明,在带有未知负载扰动的情况下,与传统PI控制器下的滑模观测器法相比,基于I&I观测器法具有更好动态响应能力和更强的鲁棒性。展开更多
为提高纺织服装行业中面料抓取机械臂的轨迹跟踪精度,建立考虑参数不确定性的动力学模型,采用反步法在浸入与不变(immersion and invariance,I&I)自适应理论框架下设计了一种轨迹跟踪控制方法。首先,建立含未知参数的柔性关节机械...为提高纺织服装行业中面料抓取机械臂的轨迹跟踪精度,建立考虑参数不确定性的动力学模型,采用反步法在浸入与不变(immersion and invariance,I&I)自适应理论框架下设计了一种轨迹跟踪控制方法。首先,建立含未知参数的柔性关节机械臂动力学模型;其次,采用I&I自适应控制方法设计了关节转动惯量的自适应律,并通过构造光滑函数实现参数估计误差流形的不变性和吸引性,保证参数估计误差收敛到0;最后,将所设计的自适应律引入反步法设计控制律的递推过程中,使所设计的控制律对不确定参数具有自适应特性。仿真结果表明,与传统反步法相比,所设计的I&I自适应反步法能更快速、更稳定地达到对期望轨迹的跟踪效果,该算法对期望轨迹的跟踪误差可保持在±0.002 rad之内。展开更多
针对水轮机调节系统簇发振荡的抑制问题,提出一种基于浸入与不变(immersion and invariance, I&I)原理的自适应反步滑模控制策略。首先,建立两时间尺度下的水轮机调节系统动力学模型,并分析系统的簇发振荡行为;其次,结合反步理论和...针对水轮机调节系统簇发振荡的抑制问题,提出一种基于浸入与不变(immersion and invariance, I&I)原理的自适应反步滑模控制策略。首先,建立两时间尺度下的水轮机调节系统动力学模型,并分析系统的簇发振荡行为;其次,结合反步理论和基于趋近律的滑模原理设计控制器,同时,对水轮机调节系统在运行过程受到的外部扰动,引入I&I理论对扰动估计误差建立流形,通过自适应律的选取保持其吸引与不变,并采用Lyapunov稳定性理论对所提控制方法进行收敛性证明;最后,对上述控制策略进行仿真验证。结果表明,该方法能有效抑制系统的簇发振荡现象,且具有较好的扰动跟踪精度。展开更多
针对双关节机械臂在运动过程中因系统不稳定所产生的跟踪精度较低问题,设计了基于浸入与不变(Immersion and Invariance,I&I)的机械臂运动轨迹自适应控制系统,采用I&I自适应控制方法作为惯性矩阵设计参数估计器。为了解决设计...针对双关节机械臂在运动过程中因系统不稳定所产生的跟踪精度较低问题,设计了基于浸入与不变(Immersion and Invariance,I&I)的机械臂运动轨迹自适应控制系统,采用I&I自适应控制方法作为惯性矩阵设计参数估计器。为了解决设计过程中偏微分方程求解困难,选用状态滤波器求出其近似解。通过引用动态缩放因子消除近似解和真实解之间的误差。将I&I自适应参数估计器与反步控制器相结合,使其对不确定参数具有自适应特征。仿真结果表明,本方案对机器人机械臂运行轨迹的控制精度有显著提高,具有一定的应用价值。展开更多
A prescribed performance control scheme based on the three-inflection-point hyperbolic function and predefined time performance function is proposed to solve the trajectory tracking problem of the forward-tilting morp...A prescribed performance control scheme based on the three-inflection-point hyperbolic function and predefined time performance function is proposed to solve the trajectory tracking problem of the forward-tilting morphing aerospace vehicle with time-varying actuator faults.To accurately estimate the loss degree of actuator faults,an immersion and invariance observer based on the predefined time dynamic scale factor is designed to estimate and compensate it.A composite dynamic sliding mode surface is designed using a three-inflection-point hyperbolic function,and a novel three-inflection-point sliding mode control framework is proposed.The convergent domain of the sliding manifold is adjusted by parameters,and the system error convergence is controllable.A transfer function is designed to eliminate the sensitivity of the three-inflection-point hyperbolic sliding mode to the unknown initial state,and combined with the barrier Lyapunov function,and the performance constraint of the system is realized.The global asymptotic stability of the system is demonstrated using a strict mathematical proof.The effectiveness and superiority of the proposed control scheme are proven by simulation experiments.展开更多
文摘Structural nonlinearities such as freeplay will affect the stability and even flight safety of the fin-actuator system.There is a lack of a practical method for designing Active Flutter Suppression (AFS) control laws for nonlinear fin-actuator systems.A design method for the AFS controller of the nonlinear all-movable fin-electromechanical actuator system is established by combining the inverse system and the Immersion and Invariance (I&I) theory.First,the composite control law combining the inverse system principle and internal model control is used to offset the nonlinearity and dynamics of the actuator,so that its driving torque can follow the ideal signal.Then,the ideal torque of the actuator is designed employing the I&I theory.The unfavorable oscillation of the fin is suppressed by making the output torque of the actuator track the ideal signal.The simulation results reveal that the proposed AFS method can increase the flutter speed of the nonlinear finactuator system with freeplay,and a set of controller parameters is also applicable for wider freeplay within a certain range.The power required for the actuator does not exceed the power that can be provided by the commonly used aviation actuator.This method can also resist a certain level of noise and external disturbance.
基金the National Natural Science Foundation of China[Grant Number 61673050].
文摘This paper proposes a robust Immersion and Invariance(I&I)adaptive coordinated controller for a class of uncertain linear-motor-driven biaxial gantry system subject to external disturbances for high-accuracy contour tracking.Firstly,the dynamic model of the gantry system is transformed into task coordinate frame,through which the contour tracking can be regarded as a regulation problem.Based on the transformed system dynamics,an I&I-based adaptation law with smooth projection is proposed to estimate the unknown parameters.Different from traditional adaptive control,the proposed robust I&I adaptive control introduces a new term called tuning function in adaptation law to shape the dynamic behaviour of the estimation vector.Then the stability of the closed-loop system is proved by Lyapunov theory.Finally,comparative experiments are executed on an industrial biaxial gantry system with two different cases to verify the effectiveness of the proposed control law.
文摘针对永磁同步电机,基于浸入与不变(immersion and invariance,I&I)理论构建反电动势和负载转矩观测器,从而提出无传感控制方案。首先,用低通滤波器对电机的电压与电流信号进行滤波处理;然后,通过分析滤波前后的信号,应用I&I理论建立不变流形,根据不变流形的稳定性与可控性,提出系统自适应律来构建反电动势观测器,并根据得到的反电动势的估计值,采用反正切法求解转子位置和速度的估计值;其次,基于I&I理论利用转速估计值构建负载转矩观测器以得到负载转矩估计值;最后,采用反步法基于估计的转速与负载转矩设计了转速环控制器并证明了闭环稳定性,实现了永磁同步电机的无传感器控制。仿真研究结果表明,在带有未知负载扰动的情况下,与传统PI控制器下的滑模观测器法相比,基于I&I观测器法具有更好动态响应能力和更强的鲁棒性。
文摘为提高纺织服装行业中面料抓取机械臂的轨迹跟踪精度,建立考虑参数不确定性的动力学模型,采用反步法在浸入与不变(immersion and invariance,I&I)自适应理论框架下设计了一种轨迹跟踪控制方法。首先,建立含未知参数的柔性关节机械臂动力学模型;其次,采用I&I自适应控制方法设计了关节转动惯量的自适应律,并通过构造光滑函数实现参数估计误差流形的不变性和吸引性,保证参数估计误差收敛到0;最后,将所设计的自适应律引入反步法设计控制律的递推过程中,使所设计的控制律对不确定参数具有自适应特性。仿真结果表明,与传统反步法相比,所设计的I&I自适应反步法能更快速、更稳定地达到对期望轨迹的跟踪效果,该算法对期望轨迹的跟踪误差可保持在±0.002 rad之内。
文摘针对水轮机调节系统簇发振荡的抑制问题,提出一种基于浸入与不变(immersion and invariance, I&I)原理的自适应反步滑模控制策略。首先,建立两时间尺度下的水轮机调节系统动力学模型,并分析系统的簇发振荡行为;其次,结合反步理论和基于趋近律的滑模原理设计控制器,同时,对水轮机调节系统在运行过程受到的外部扰动,引入I&I理论对扰动估计误差建立流形,通过自适应律的选取保持其吸引与不变,并采用Lyapunov稳定性理论对所提控制方法进行收敛性证明;最后,对上述控制策略进行仿真验证。结果表明,该方法能有效抑制系统的簇发振荡现象,且具有较好的扰动跟踪精度。
文摘针对双关节机械臂在运动过程中因系统不稳定所产生的跟踪精度较低问题,设计了基于浸入与不变(Immersion and Invariance,I&I)的机械臂运动轨迹自适应控制系统,采用I&I自适应控制方法作为惯性矩阵设计参数估计器。为了解决设计过程中偏微分方程求解困难,选用状态滤波器求出其近似解。通过引用动态缩放因子消除近似解和真实解之间的误差。将I&I自适应参数估计器与反步控制器相结合,使其对不确定参数具有自适应特征。仿真结果表明,本方案对机器人机械臂运行轨迹的控制精度有显著提高,具有一定的应用价值。
基金co-supported by the Xinjiang Uygur Autonomous Region Natural Science Foundation,China(No.2022D01C86)the National Natural Science Foundation of China(No.62263030)the Open Research Fund Program of Beijing National Research Center for Information Science and Technology,China(No.BR2023KF02011).
文摘A prescribed performance control scheme based on the three-inflection-point hyperbolic function and predefined time performance function is proposed to solve the trajectory tracking problem of the forward-tilting morphing aerospace vehicle with time-varying actuator faults.To accurately estimate the loss degree of actuator faults,an immersion and invariance observer based on the predefined time dynamic scale factor is designed to estimate and compensate it.A composite dynamic sliding mode surface is designed using a three-inflection-point hyperbolic function,and a novel three-inflection-point sliding mode control framework is proposed.The convergent domain of the sliding manifold is adjusted by parameters,and the system error convergence is controllable.A transfer function is designed to eliminate the sensitivity of the three-inflection-point hyperbolic sliding mode to the unknown initial state,and combined with the barrier Lyapunov function,and the performance constraint of the system is realized.The global asymptotic stability of the system is demonstrated using a strict mathematical proof.The effectiveness and superiority of the proposed control scheme are proven by simulation experiments.