| 引用本文: | 苏杰,曾喆昭.非线性时变系统的自耦PID控制方法[J].控制理论与应用,2022,39(2):299~306.[点击复制] |
| SU Jie,ZENG Zhe-zhao.Auto-coupling PID control method for nonlinear time varying systems[J].Control Theory and Technology,2022,39(2):299~306.[点击复制] |
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| 非线性时变系统的自耦PID控制方法 |
| Auto-coupling PID control method for nonlinear time varying systems |
| 摘要点击 2544 全文点击 563 投稿时间：2020-11-18 修订日期：2021-12-12 |
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| DOI编号 10.7641/CTA.2021.00816 |
| 2022,39(2):299-306 |
| 中文关键词 非线性时变系统 自耦PID控制 自适应速度因子 鲁棒稳定性 |
| 英文关键词 nonlinear time varying systems auto-coupling PID control adaptive speed factor robust stability |
| 基金项目 湖南省教育厅重点项目(17A006,21A0183)资助. |
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| 中文摘要 |
| 针对一类非线性时变系统的控制问题, 使用了一种基于自耦PID的控制理论方法. 该方法首先将时变不确
定、模型不确定定义为一个扩张状态, 并将非线性时变系统映射为未知线性系统; 然后使用自耦PID控制方法构造
了一个闭环系统; 最后在复频域分析了闭环系统的鲁棒稳定性和抗扰动鲁棒性. 理论分析与仿真结果都表明了本
文控制方法具有良好的动态品质和稳态性能, 在未知复杂系统控制领域具有广泛的应用前景. |
| 英文摘要 |
| Considering the control problem for a kind of nonlinear time varying systems, a control theory method based
on auto-coupling PID was used. Firstly, the time-varying uncertainty and model uncertainty were defined as an extended
state, and the nonlinear time varying system was mapped to an unknown linear system. Then a closed-loop system was
constructed by using auto-coupling PID control method. Finally the robust stability and anti disturbance robustness of the
closed-loop system were analyzed in the complex frequency domain. Theoretical analysis and simulation results show that
the proposed control method has good dynamic quality and steady-state performance, and has a wide application prospect
in the control field of unknown complex systems. |