| 引用本文: | 余臻,李喆瀚,刘利军.电液伺服系统多项式非线性建模与控制一体化设计[J].控制理论与应用,2021,38(3):364~372.[点击复制] |
| YU Zhen,LI Zhe-han,LIU Li-jun.Integrated design of polynomial nonlinear modeling and control of electro-hydraulic servo systems[J].Control Theory and Technology,2021,38(3):364~372.[点击复制] |
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| 电液伺服系统多项式非线性建模与控制一体化设计 |
| Integrated design of polynomial nonlinear modeling and control of electro-hydraulic servo systems |
| 摘要点击 2235 全文点击 766 投稿时间：2020-03-23 修订日期：2020-09-27 |
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| DOI编号 10.7641/CTA.2020.00161 |
| 2021,38(3):364-372 |
| 中文关键词 非线性H∞控制 系统辨识 电液伺服系统 PID控制 |
| 英文关键词 nonlinear H∞ control system identification electro-hydraulic servo system PID control |
| 基金项目 国家自然科学基金项目(61304110), 广东省自然科学基金项目(2018A030313124), 深圳市基础研究面上项目(JCYJ20190809163009630), 上海市 自然科学基金项目(18ZR1443200)资助. |
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| 中文摘要 |
| 常规电液伺服系统PID控制无法克服非线性因素影响, 存在跟踪准确性和鲁棒性问题. 因此, 本文提出电液
伺服系统多项式非线性H∞控制律设计方法, 改进电液伺服系统的控制性能与鲁棒性. 首先利用多项式非线性模型
对电液伺服系统进行系统辨识, 得到以误差作为状态变量的多项式非线性模型; 然后设计多项式非线性控制律, 证
明所提出控制律可以保证系统从干扰至控制输出L2增益小于等于设定值, 并且在系统干扰为零时保证误差全局渐
进收敛, 同时给出了控制律的求解方法. 最后对提出的控制律进行实验验证. 实验结果表明: 相较于常规PID控制,
多项式非线性控制律能够改善实验台伺服缸控制过程的瞬态响应, 具有更好的抗干扰能力. 本文提出的设计方法
为非线性H∞控制在电液伺服系统控制领域的实际应用提供了可行方案. |
| 英文摘要 |
| The conventional electro-hydraulic servo system PID control cannot overcome the influence of nonlinear
factors, and has tracking accuracy and robustness problems. Therefore, a polynomial nonlinear H1 control law design
method is proposed to improve the control performance and robustness of electro-hydraulic servo systems. Firstly, a
polynomial nonlinear model is used to identify the electro-hydraulic servo system, and a polynomial nonlinear model with
tracking error as state variables is obtained. Secondly, the polynomial nonlinear control law is designed. The control law
can ensure the system has L2-gain from disturbance to output less than or equal to a set value, and global asymptotic
convergence of the error is achieved when the system disturbance is zero. The solution method of the control law is given
as well. Finally, the proposed control law is experimentally verified. The experimental results show that, compared with
the conventional PID control, the polynomial nonlinear control law can improve the transient response during the control
process and does better in disturbance rejection. The design method proposed in this paper provides a feasible scheme for
the practical application of nonlinear H∞ control in the field of electro-hydraulic servo system control. |
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