在精细积分算法体系的基础上开发的"精细积分(最优)控制系统设计程序包PIM-CSD(Precise Integration Method-Control System Design)",不但具有高效、精确、稳定的优点,可替代Matlab控制工具箱定常控制器设计功能,而且很容易...在精细积分算法体系的基础上开发的"精细积分(最优)控制系统设计程序包PIM-CSD(Precise Integration Method-Control System Design)",不但具有高效、精确、稳定的优点,可替代Matlab控制工具箱定常控制器设计功能,而且很容易实现时变控制器功能的扩展。主要讲述精细积分程序包在LQ最优控制、Kalman滤波以及系统仿真等控制系统设计基本内容方面的功能实现,特别强调在时变控制器和滤波器的设计以及Kalman滤波微分方程的高效求解等新功能的扩展,通过与Matlab控制系统工具箱中相关功能的比较,显示出PIM-CSD在计算效率、数值精度、算法稳定性等方面的优势。最后,探讨了PIM-CSD的应用领域和发展方向。展开更多
在现有精细积分(最优)控制系统设计工具箱PIMCSD(Precise Integration Method-Control System Design)的基础上,采用MATLAB的GUI技术开发了交互式界面软件PIMCSD,其主要功能包含有限长时间线性二次最优控制系统和H∞鲁棒控制系统的设计...在现有精细积分(最优)控制系统设计工具箱PIMCSD(Precise Integration Method-Control System Design)的基础上,采用MATLAB的GUI技术开发了交互式界面软件PIMCSD,其主要功能包含有限长时间线性二次最优控制系统和H∞鲁棒控制系统的设计与仿真。以一个具体的线性二次硬终端约束控制器的设计与仿真为例,介绍了PIMCSD软件的具体操作使用步骤,也演示了交互式界面软件PIMCSD使用方便、简单易学的特点。展开更多
The quality of the micro-mechanical machining outcome depends significantly on the tracking performance of the miniaturized linear motor drive precision stage. The tracking behavior of a direct drive design is prone t...The quality of the micro-mechanical machining outcome depends significantly on the tracking performance of the miniaturized linear motor drive precision stage. The tracking behavior of a direct drive design is prone to uncertainties such as model parameter variations and disturbances. Robust optimal tracking controller design for this kind of precision stages with mass and damping ratio uncertainties was researched. The mass and damping ratio uncertainties were modeled as the structured parametric uncertainty model. An identification method for obtaining the parametric uncertainties was developed by using unbiased least square technique. The instantaneous frequency bandwidth of the external disturbance signals was analyzed by using short time Fourier transform technique. A two loop tracking control strategy that combines the p-synthesis and the disturbance observer （DOB） techniques was proposed. The p-synthesis technique was used to design robust optimal controllers based on structured uncertainty models. By complementing the/z controller, the DOB was applied to further improving the disturbance rejection performance. To evaluate the positioning performance of the proposed control strategy, the comparative experiments were conducted on a prototype micro milling machine among four control schemes： the proposed two-loop tracking control, the single loop μ control, the PID control and the PID with DOB control. The disturbance rejection performances, the root mean square （RMS） tracking errors and the performance robustness of different control schemes were studied. The results reveal that the proposed control scheme has the best positioning performance. It reduces the maximal errors caused by disturbance forces such as friction force by 60% and the RMS errors by 63.4% compared with the PID control. Compared to PID with DOB control, it reduces the RMS errors by 29.6%.展开更多
文摘在精细积分算法体系的基础上开发的"精细积分(最优)控制系统设计程序包PIM-CSD(Precise Integration Method-Control System Design)",不但具有高效、精确、稳定的优点,可替代Matlab控制工具箱定常控制器设计功能,而且很容易实现时变控制器功能的扩展。主要讲述精细积分程序包在LQ最优控制、Kalman滤波以及系统仿真等控制系统设计基本内容方面的功能实现,特别强调在时变控制器和滤波器的设计以及Kalman滤波微分方程的高效求解等新功能的扩展,通过与Matlab控制系统工具箱中相关功能的比较,显示出PIM-CSD在计算效率、数值精度、算法稳定性等方面的优势。最后,探讨了PIM-CSD的应用领域和发展方向。
文摘在现有精细积分(最优)控制系统设计工具箱PIMCSD(Precise Integration Method-Control System Design)的基础上,采用MATLAB的GUI技术开发了交互式界面软件PIMCSD,其主要功能包含有限长时间线性二次最优控制系统和H∞鲁棒控制系统的设计与仿真。以一个具体的线性二次硬终端约束控制器的设计与仿真为例,介绍了PIMCSD软件的具体操作使用步骤,也演示了交互式界面软件PIMCSD使用方便、简单易学的特点。
基金Project(50875257) supported by the National Natural Science Foundation of China
文摘The quality of the micro-mechanical machining outcome depends significantly on the tracking performance of the miniaturized linear motor drive precision stage. The tracking behavior of a direct drive design is prone to uncertainties such as model parameter variations and disturbances. Robust optimal tracking controller design for this kind of precision stages with mass and damping ratio uncertainties was researched. The mass and damping ratio uncertainties were modeled as the structured parametric uncertainty model. An identification method for obtaining the parametric uncertainties was developed by using unbiased least square technique. The instantaneous frequency bandwidth of the external disturbance signals was analyzed by using short time Fourier transform technique. A two loop tracking control strategy that combines the p-synthesis and the disturbance observer （DOB） techniques was proposed. The p-synthesis technique was used to design robust optimal controllers based on structured uncertainty models. By complementing the/z controller, the DOB was applied to further improving the disturbance rejection performance. To evaluate the positioning performance of the proposed control strategy, the comparative experiments were conducted on a prototype micro milling machine among four control schemes： the proposed two-loop tracking control, the single loop μ control, the PID control and the PID with DOB control. The disturbance rejection performances, the root mean square （RMS） tracking errors and the performance robustness of different control schemes were studied. The results reveal that the proposed control scheme has the best positioning performance. It reduces the maximal errors caused by disturbance forces such as friction force by 60% and the RMS errors by 63.4% compared with the PID control. Compared to PID with DOB control, it reduces the RMS errors by 29.6%.
