This paper mainly focuses on stability analysis of the nonlinear active disturbance rejection control(ADRC)-based control system and its applicability to real world engineering problems.Firstly,the nonlinear ADRC(NLAD...This paper mainly focuses on stability analysis of the nonlinear active disturbance rejection control(ADRC)-based control system and its applicability to real world engineering problems.Firstly,the nonlinear ADRC(NLADRC)-based control system is transformed into a multi-input multi-output(MIMO)Lurie-like system,then sufficient condition for absolute stability based on linear matrix inequality(LMI)is proposed.Since the absolute stability is a kind of global stability,Lyapunov stability is further considered.The local asymptotical stability can be deter-mined by whether a matrix is Hurwitz or not.Using the inverted pendulum as an example,the proposed methods are verified by simulation and experiment,which show the valuable guidance for engineers to design and analyze the NL ADRC-based control system.展开更多
In this paper, a practical decoupling control scheme for fighter aircraft is proposed to achieve high angle of attack(AOA)tracking and super maneuver action by utilizing the thrust vector technology. Firstly, a six de...In this paper, a practical decoupling control scheme for fighter aircraft is proposed to achieve high angle of attack(AOA)tracking and super maneuver action by utilizing the thrust vector technology. Firstly, a six degree-of-freedom(DOF) nonlinear model with 12 variables is given. Due to low sufficiency of the aerodynamic actuators at high AOA, a thrust vector model with rotatable engine nozzles is derived. Secondly, the active disturbance rejection control(ADRC) is used to realize a three-channel decoupling control such that a strong coupling between different channels can be treated as total disturbance, which is estimated by the designed extended state observer. The control surface allocation is implemented by the traditional daisy chain method. Finally,the effectiveness of the presented control strategy is demonstrated by some numerical simulation results.展开更多
Permanent magnet synchronous motor(PMSM)speed control systems with conventional linear active disturbance rejection control(CLADRC)strategy encounter issues regarding the coupling between dynamic response and disturba...Permanent magnet synchronous motor(PMSM)speed control systems with conventional linear active disturbance rejection control(CLADRC)strategy encounter issues regarding the coupling between dynamic response and disturbance suppression and have poor performance in suppressing complex nonlinear disturbances.In order to address these issues,this paper proposes an improved two-degree-of-freedom LADRC(TDOF-LADRC)strategy,which can enhance the disturbance rejection performance of the system while decoupling entirely the system's dynamic and anti-disturbance performance to boost the system robustness and simplify controller parameter tuning.PMSM models that consider total disturbances are developed to design the TDOF-LADRC speed controller accurately.Moreover,to evaluate the control performance of the TDOF-LADRC strategy,its stability is proven,and the influence of each controller parameter on the system control performance is analyzed.Based on it,a comparison is made between the disturbance observation ability and anti-disturbance performance of TDOF-LADRC and CLADRC to prove the superiority of TDOF-LADRC in rejecting disturbances.Finally,experiments are performed on a 750 W PMSM experimental platform,and the results demonstrate that the proposed TDOF-LADRC exhibits the properties of two degrees of freedom and improves the disturbance rejection performance of the PMSM system.展开更多
This paper is concerned with the control design and the theoretical analysis for a class of input time-delay systems with stable, critical stable or unstable poles. In order to overcome the time delay, a novel feed-fo...This paper is concerned with the control design and the theoretical analysis for a class of input time-delay systems with stable, critical stable or unstable poles. In order to overcome the time delay, a novel feed-forward compensation active disturbance rejection control(FFC-ADRC) approach is proposed. It combines advantages of the Smith predictor and the traditional active disturbance rejection control(ADRC). The tracking differentiator(TD) is designed to predict the control signal, which adds an anticipatory control to the control signal and allows a higher observer bandwidth to obtain better disturbance rejection. The modified extended state observer(ESO) is designed to estimate both system states and the total disturbances(internal disturbance, uncertainties and delayed disturbance). Then the Lyapunov theory and the theory of the input-output stability are applied to prove the asymptotic stability of the closed-loop control system. Finally, numerical simulations show the effectiveness and practicality of the proposed design.展开更多
针对永磁同步电机(Permanent Magnet Synchronous Motor,PMSM)转速控制系统中存在的鲁棒性和抗干扰能力差的问题,提出了一种改进分数阶自抗扰控制器(Improved Fractional Order Active Disturbance Rejection Controller,IFOADRC),代替...针对永磁同步电机(Permanent Magnet Synchronous Motor,PMSM)转速控制系统中存在的鲁棒性和抗干扰能力差的问题,提出了一种改进分数阶自抗扰控制器(Improved Fractional Order Active Disturbance Rejection Controller,IFOADRC),代替传统非线性自抗扰控制器。首先,设计了新的非线性函数,应用于非线性分数阶扩张状态观测器(Nonlinear Fractional Order Extended State Observer,NFOESO)中,采用线性分数阶扩张状态观测器(Linear Fractional Order Extended State Observer,LFOESO)对系统总扰动进行初步估计;然后,通过设计的权重函数将该估计结果引入到非线性分数阶扩张状态观测器中,建立了改进分数阶自抗扰控制器,并且通过理论分析了该控制策略的收敛性和抗干扰能力;最后,进行了Simulink仿真和links-RT半实物实验验证。实验结果表明,所提控制策略相比传统非线性自抗扰控制器(Nonlinear Active Disturbance Rejection Controller,NLADRC)和级联扩张状态观测器的自抗扰控制器(Cascaded Linear Active Disturbance Rejection Controller,CLADRC),当电机受到速度阶跃时,调节时间在加速时分别减少了25.6%和17.6%,在减速时分别减少了10.7%和5.6%;当电机受到负载扰动时,调节时间在突加负载时分别减少了51.9%和24.2%,在突减负载时分别减少了41.5%和22.6%;验证了所提控制策略能有效增强永磁同步电机的鲁棒性和抗干扰能力。展开更多
基金supported by the National Natural Science Foundation of China(61836001).
文摘This paper mainly focuses on stability analysis of the nonlinear active disturbance rejection control(ADRC)-based control system and its applicability to real world engineering problems.Firstly,the nonlinear ADRC(NLADRC)-based control system is transformed into a multi-input multi-output(MIMO)Lurie-like system,then sufficient condition for absolute stability based on linear matrix inequality(LMI)is proposed.Since the absolute stability is a kind of global stability,Lyapunov stability is further considered.The local asymptotical stability can be deter-mined by whether a matrix is Hurwitz or not.Using the inverted pendulum as an example,the proposed methods are verified by simulation and experiment,which show the valuable guidance for engineers to design and analyze the NL ADRC-based control system.
基金supported by the National Natural Science Foundation of China(61973175,61973172)。
文摘In this paper, a practical decoupling control scheme for fighter aircraft is proposed to achieve high angle of attack(AOA)tracking and super maneuver action by utilizing the thrust vector technology. Firstly, a six degree-of-freedom(DOF) nonlinear model with 12 variables is given. Due to low sufficiency of the aerodynamic actuators at high AOA, a thrust vector model with rotatable engine nozzles is derived. Secondly, the active disturbance rejection control(ADRC) is used to realize a three-channel decoupling control such that a strong coupling between different channels can be treated as total disturbance, which is estimated by the designed extended state observer. The control surface allocation is implemented by the traditional daisy chain method. Finally,the effectiveness of the presented control strategy is demonstrated by some numerical simulation results.
文摘Permanent magnet synchronous motor(PMSM)speed control systems with conventional linear active disturbance rejection control(CLADRC)strategy encounter issues regarding the coupling between dynamic response and disturbance suppression and have poor performance in suppressing complex nonlinear disturbances.In order to address these issues,this paper proposes an improved two-degree-of-freedom LADRC(TDOF-LADRC)strategy,which can enhance the disturbance rejection performance of the system while decoupling entirely the system's dynamic and anti-disturbance performance to boost the system robustness and simplify controller parameter tuning.PMSM models that consider total disturbances are developed to design the TDOF-LADRC speed controller accurately.Moreover,to evaluate the control performance of the TDOF-LADRC strategy,its stability is proven,and the influence of each controller parameter on the system control performance is analyzed.Based on it,a comparison is made between the disturbance observation ability and anti-disturbance performance of TDOF-LADRC and CLADRC to prove the superiority of TDOF-LADRC in rejecting disturbances.Finally,experiments are performed on a 750 W PMSM experimental platform,and the results demonstrate that the proposed TDOF-LADRC exhibits the properties of two degrees of freedom and improves the disturbance rejection performance of the PMSM system.
基金supported by the National Natural Science Foundation of China(61304026)
文摘This paper is concerned with the control design and the theoretical analysis for a class of input time-delay systems with stable, critical stable or unstable poles. In order to overcome the time delay, a novel feed-forward compensation active disturbance rejection control(FFC-ADRC) approach is proposed. It combines advantages of the Smith predictor and the traditional active disturbance rejection control(ADRC). The tracking differentiator(TD) is designed to predict the control signal, which adds an anticipatory control to the control signal and allows a higher observer bandwidth to obtain better disturbance rejection. The modified extended state observer(ESO) is designed to estimate both system states and the total disturbances(internal disturbance, uncertainties and delayed disturbance). Then the Lyapunov theory and the theory of the input-output stability are applied to prove the asymptotic stability of the closed-loop control system. Finally, numerical simulations show the effectiveness and practicality of the proposed design.
文摘针对永磁同步电机(Permanent Magnet Synchronous Motor,PMSM)转速控制系统中存在的鲁棒性和抗干扰能力差的问题,提出了一种改进分数阶自抗扰控制器(Improved Fractional Order Active Disturbance Rejection Controller,IFOADRC),代替传统非线性自抗扰控制器。首先,设计了新的非线性函数,应用于非线性分数阶扩张状态观测器(Nonlinear Fractional Order Extended State Observer,NFOESO)中,采用线性分数阶扩张状态观测器(Linear Fractional Order Extended State Observer,LFOESO)对系统总扰动进行初步估计;然后,通过设计的权重函数将该估计结果引入到非线性分数阶扩张状态观测器中,建立了改进分数阶自抗扰控制器,并且通过理论分析了该控制策略的收敛性和抗干扰能力;最后,进行了Simulink仿真和links-RT半实物实验验证。实验结果表明,所提控制策略相比传统非线性自抗扰控制器(Nonlinear Active Disturbance Rejection Controller,NLADRC)和级联扩张状态观测器的自抗扰控制器(Cascaded Linear Active Disturbance Rejection Controller,CLADRC),当电机受到速度阶跃时,调节时间在加速时分别减少了25.6%和17.6%,在减速时分别减少了10.7%和5.6%;当电机受到负载扰动时,调节时间在突加负载时分别减少了51.9%和24.2%,在突减负载时分别减少了41.5%和22.6%;验证了所提控制策略能有效增强永磁同步电机的鲁棒性和抗干扰能力。
