| 高志强,陈翰博.线性化模型下二阶逆变器的混沌控制[J].电子测量与仪器学报,2023,37(3):152-160 |
| 线性化模型下二阶逆变器的混沌控制 |
| Chaos control of second order inverters under linearized model |
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| DOI： |
| 中文关键词: 二阶逆变器 系数线性化模型 非线性动力学行为 混沌控制 延时反馈控制 |
| 英文关键词:second order inverter coefficient linearization model nonlinear dynamics behavior chaotic control time-delayed feedback control |
| 基金项目:国家自然科学基金面上项目(51877152)资助 |
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| 中文摘要: |
| 针对线性化模型下二阶逆变器发生的非线性分岔与混沌行为,加入控制手段增加稳定域与抗扰性。 首先构建了二阶逆
变器的系数线性化迭代模型,运用分岔图、折叠图再现了其产生的混沌行为,并寻求系统的 Jacobian 矩阵和平衡点。 然后加入
延时反馈控制,并基于朱里判据给出了控制参数的限定条件。 最后为说明所加入混沌控制方法的优越性,开展了数值仿真模拟
实验。 结果表明,延时反馈控制使系统比例参数 K 的分岔值从 0. 573 后移至 0. 973,且当直流源输入侧电压突变时,系统仍保持
在稳定运行状态。 表明施加延时反馈控制后,二阶逆变器运行的稳定域增加且整体的抗扰性增强。 |
| 英文摘要: |
| Aiming at the nonlinear bifurcation and chaos behavior of the second-order inverter under the linearized model, the control
method is added to increase the stability domain and disturbance immunity. Firstly, established the second-order coefficient linear
iteration model of inverter, recreated the chaotic behavior of system by using bifurcation diagram and folding figure, sought Jacobian
matrix and equilibrium point of the system. Secondly, the delay feedback control is added and the limiting conditions of the control
parameters are given based on the Juri criterion. Finally, numerical modeling experiments are unfolded to declaration the meliority of the
chaos control method. The results indicate that the bifurcation point of the proportional parameter K of the system moves from 0. 573 to
0. 973 after the delay feedback control is applied, and the system still runs stably when the input voltage of dc power supply changes
abruptly. The results show that the stability domain of the second-order inverter is increased and the overall disturbance immunity is
enhanced after the delay feedback control is applied. |
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