永磁同步电动机的有限时间自适应混沌控制
发布时间：2019-04-01 17:46
【摘要】：针对永磁同步电动机(PMSM)的混沌吸引子现象以及研究中只能实现平衡状态的周期点的混沌同步控制问题,提出了一种基于自动控制理论与有限时间控制原理的零误差系统算法。首先,通过已建立的PMSM的数学模型,经过数学公式转化得到PMSM各状态变量与其预期设定值之间形成的误差系统模型;然后,利用李雅谱诺夫稳定性理论,对所形成的误差系统模型进行同步控制器与校正率的设计,并证明误差系统在有限时间内快速地收敛至零点;最后,对误差系统施加干扰量,对算法进行鲁棒性分析。理论与仿真结果表明,所提出的算法能实现误差系统到达零点后仍一直维持在零点的平衡状态,有效地抑制PMSM系统中混沌吸引子现象的产生,灵活地调整PMSM的输入输出,在确保PMSM正常运转的基础上,PMSM系统对不定性参量与外部扰动量具有良好的鲁棒特性。
[Abstract]:In this paper, the chaotic attractor of permanent magnet synchronous motor (PMSM) and the chaotic synchronization control of periodic point which can only realize the equilibrium state are studied. A zero error system algorithm based on automatic control theory and finite time control principle is proposed. Firstly, through the established mathematical model of PMSM, the error system model formed between each state variable of PMSM and its expected setting value is obtained through the transformation of mathematical formula. Then, by using Lyapunov stability theory, the synchronization controller and correction rate are designed for the formed error system model, and it is proved that the error system converges to zero quickly in finite time. Finally, the robustness of the algorithm is analyzed by applying interference to the error system. The theoretical and simulation results show that the proposed algorithm can maintain the equilibrium state of zero point after the error system reaches zero point, effectively restrain the occurrence of chaotic attractor in PMSM system, and adjust the input and output of PMSM flexibly. On the basis of ensuring the normal operation of PMSM, the PMSM system has a good robust performance against uncertain parameters and external disturbances.
【作者单位】： 哈尔滨理工大学自动化学院;
【基金】：黑龙江省自然科学基金资助项目(F201307)~~
【分类号】：TM341;TP273
[Abstract]:In this paper, the chaotic attractor of permanent magnet synchronous motor (PMSM) and the chaotic synchronization control of periodic point which can only realize the equilibrium state are studied. A zero error system algorithm based on automatic control theory and finite time control principle is proposed. Firstly, through the established mathematical model of PMSM, the error system model formed between each state variable of PMSM and its expected setting value is obtained through the transformation of mathematical formula. Then, by using Lyapunov stability theory, the synchronization controller and correction rate are designed for the formed error system model, and it is proved that the error system converges to zero quickly in finite time. Finally, the robustness of the algorithm is analyzed by applying interference to the error system. The theoretical and simulation results show that the proposed algorithm can maintain the equilibrium state of zero point after the error system reaches zero point, effectively restrain the occurrence of chaotic attractor in PMSM system, and adjust the input and output of PMSM flexibly. On the basis of ensuring the normal operation of PMSM, the PMSM system has a good robust performance against uncertain parameters and external disturbances.
【作者单位】： 哈尔滨理工大学自动化学院;
【基金】：黑龙江省自然科学基金资助项目(F201307)~~
【分类号】：TM341;TP273
【参考文献】
相关期刊论文 前4条
1 杨益飞;骆敏舟;邢绍邦;韩晓新;朱q，
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