河南科技2024,Vol.51Issue(3) :4-9.DOI:10.19968/j.cnki.hnkj.1003-5168.2024.03.001

一种控制输入约束下的不确定离散系统非脆弱保性能控制器设计

Non-Fragile Guaranteed Cost Control for Uncertain Discrete System with Control input Constraints

段虹州 韩光信 高兴泉
河南科技2024,Vol.51Issue(3) :4-9.DOI:10.19968/j.cnki.hnkj.1003-5168.2024.03.001

一种控制输入约束下的不确定离散系统非脆弱保性能控制器设计

Non-Fragile Guaranteed Cost Control for Uncertain Discrete System with Control input Constraints

段虹州 1韩光信 1高兴泉2
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作者信息

  • 1. 吉林化工学院,吉林 吉林 132022
  • 2. 吉林化工学院,吉林 吉林 132022;吉林工业职业技术学院,吉林 吉林 132013
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摘要

[目的]针对考虑扰动及摄动情况下的控制输入约束的不确定离散系统,提出了非脆弱保性能的控制方法.[方法]首先,以最小化目标函数为性能指标、控制输入饱和范围为约束条件,从而推导出约束状态下的非脆弱保性能控制律.其次,使用李雅普诺夫方程来构造非线性矩阵不等式.再次,结合Schur补定理和布谷鸟群智能优化算法对不等式进行求解,得到控制输入约束下的非脆弱保性能控制律的参数.最后,通过Quanser三自由度陀螺仪平台进行试验验证.[结果]试验结果表明,本研究所提出方法的稳态误差浮动不超过0.07、跟踪误差不超过0.15.[结论]该方法在面对扰动及摄动情况时具有更高的鲁棒性,对提升三自由度陀螺仪的稳定性及控制精度具有重要意义.

Abstract

[Purposes]In this paper,a non-fragile guaranteed performance control method is proposed for uncertain discrete systems with input constraints under perturbation.[Methods]In this method,By tak-ing the minimum objective function as the performance index and taking the saturation range of the con-trol input as the constraint condition,the non-fragile guaranteed performance control law under the con-straint state is derived.Secondly,the nonlinear matrix inequality is constructed by Lyapunov equation.Then,Schur's complement theorem and Cuckoo bird intelligent optimization algorithm are used to solve the inequality,and the non-fragile guaranteed performance control law parameters under the control in-put constraints are obtained.Finally,the experiment is verified by Quanser-3-DOF gyroscope platform.[Findings]The results show that the steady-state error of the proposed method is less than 0.07 and the tracking error is less than 0.15.[Conclusions]The method proposed in this paper has higher robustness in the face of disturbance and perturbation,and is of great significance for improving the stability and control accuracy of the 3-DOF gyroscope.

关键词

不确定性离散系统/控制输入约束/非脆弱性/保性能控制

Key words

uncertain discrete system/control input constraint/non-fragile/guaranteed performance control

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基金项目

基于深度学习的数控加工智能化关键技术与系统开发项目(212551GX010288291)

基于微分平坦的多容耦联水罐液位系统优化控制方法研究项目(JJKH20200252K)

出版年

2024
河南科技
河南省科学技术信息研究院

河南科技

影响因子:0.615
ISSN:1003-5168
参考文献量15
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