吉林大学学报(工学版) ›› 2019, Vol. 49 ›› Issue (5): 1547-1557.doi: 10.13229/j.cnki.jdxbgxb20180507

• • 上一篇    

仿真转台用连续回转电液伺服马达预测滑模控制

王晓晶(),刘美珍,陈帅,李嵩   

  1. 哈尔滨理工大学 机械动力工程学院,哈尔滨 150080
  • 收稿日期:2018-05-23 出版日期:2019-09-01 发布日期:2019-09-11
  • 作者简介:王晓晶(1981-),女,教授,博士.研究方向:流体传动与控制.E-mail:hitwangxiaojing@163.com
  • 基金资助:
    国家自然科学基金项目(51305108);黑龙江省博士后科研启动基金项目(LBH-Q15069)

Predictive function and sliding model controller of continuous rotary electro⁃hydraulic servo motor applied to simulator

Xiao-jing WANG(),Mei-zhen LIU,Shuai CHEN,Song LI   

  1. School of Mechanical and Power Engineering, Harbin University of Science and Technology, Harbin 150080, China
  • Received:2018-05-23 Online:2019-09-01 Published:2019-09-11

摘要:

针对飞行仿真转台用连续回转电液伺服马达自身存在高度非线性和摩擦、泄漏等外界因素导致的不确定性,不能建立精确的数学模型,以及传统控制策略效果不理想等特点,提出了一种预测函数滑模变结构复合控制策略(PFC-SMC)。电液伺服系统采用了具有状态反馈形式的内模控制理论结构,将内模控制思想和滑模变结构控制思想相结合,利用滑模控制克服外界干扰和参数时变性,利用预测函数控制算法设计内模控制器,实现系统高精度、高频响的跟踪控制,有效抑制了由滑模控制引起的抖振现象。仿真表明:与传统PID控制相比,PFC-SMC复合控制算法有效提高了飞行仿真转台用电液伺服系统的低速稳定性和抗干扰能力,极大程度拓展了系统的频响,实现了伺服系统的精确控制。

关键词: 流体传动与控制, 连续回转电液伺服马达, 内模控制, 滑模变结构控制, 预测函数控制

Abstract:

Due to the existing uncertainties caused by high non-linearity, friction, leakage and other external factors in the flight simulator with continuous rotary electro-hydraulic servo motor, it is difficult to accurately establish the mathematical model and also the traditional control strategies can not satisfy the high performance requirements. To overcome these problems, a compound control strategy composed of Predictive Function Control and Sliding Model Control (PFC-SMC) was proposed. In the electro-hydraulic servo system, the control principle of internal model control with state feedback is adopted, the internal model control principle and sliding model variable structure control is combined. The sliding model variable structure control can overcome external disturbing and parameters’ time-varying property. The internal model controller is designed using the predictive function theory, which can greatly suppress chattering of sliding mode structure, and achieve high precision and high frequency responding on tracking performance. The simulation results show that PFC-SMC algorithm improves the tracking performance and anti-interference ability of the electro-hydraulic position servo system greatly comparing with the traditional PID control, and effectively expands the bandwidth. The accurate control of electro-hydraulic position servo system of hydraulic simulation turntable can be realized.

Key words: fluid transmission and control, continuous rotary electro-hydraulic servo motor, internal model control, sliding mode variable structure control, predictive function control

中图分类号: 

  • TH137

图1

伺服系统传递函数方框图"

图2

预测控制的原理框图"

图3

预测函数控制算法原理框图"

图4

预测函数滑模控制结构图"

表1

滑模变结构控制参数表"

输入信号 c k 0 k 1
0.001°/s的斜坡信号 1.0×10-4 2.0×10-6 686
14 Hz的正弦信号 2 0.2 0.002
15 Hz的正弦信号 2 0.2 0.002
16 Hz的正弦信号 2 0.2 0.002

图5

输入信号为0.001°/s的斜坡信号响应曲线"

图6

频率为14 Hz,幅值为1°的正弦仿真曲线"

图7

频率为15 Hz,幅值为1°的正弦仿真曲线"

图8

频率为16 Hz,幅值为1°的正弦仿真曲线"

图9

相移为-90°时的频响(12 Hz)"

表2

幅值为1°正弦信号在PFC-SMC控制下的跟踪性能"

频率/Hz 系统响应极值/(°) 幅值误差/% 系统滞后时间/s

相位误差

/(°)

14 1.005 0.5 0.0016 8.064
15 1.006 0.6 0.0017 9.18
16 1.008 0.8 0.0018 10.368
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