基于系数图法的多入多出系统控制器设计方法
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作者单位:

东北大学秦皇岛分校

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中图分类号:

TP273

基金项目:

国家自然科学基金项目(面上项目,重点项目,重大项目)


Controller Design of MIMO Systems Based on Coefficient Diagram Method
Author:
Affiliation:

Northeastern University at Qinhuangdao

Fund Project:

The National Natural Science Foundation of China (General Program, Key Program, Major Research Plan)

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    摘要:

    多入多出系统的交互作用限制了适用于单入单出系统的多种先进设计方法的使用. 且多数关于多入多出系统控制研究, 只重视消除交互作用的影响, 而忽略系统控制问题. 这样不但弱化了系统的鲁棒性, 而且设计过程复杂, 解耦后系统阶次也较高. 为此, 本文提出一种基于系数图法的多入多出系统的控制器设计方法. 将多变量系统解耦问题转化为参数优化问题, 首先, 文中给出目标函数和两个线性约束条件. 通过在频域基于粒子群算法优化目标函数, 从而设计补偿器实现解耦. 其次, 系数图法可根据系统实际性能需求灵活设计控制器结构和参数, 兼顾系统稳定性、 响应特性和鲁棒性. 故基于系数图法进行控制器结构设计和参数整定. 最后, 通过仿真实验验证了所提方法的有效性.

    Abstract:

    The interaction of MIMO(Multi-Input Multi-Output systems) limits the use of many advanced design methods suitable for SISO(Single Input Single Output) systems. And most of the research on the control of MIMO systems only pays attention to eliminating the influence of interaction, but problems of systems control are ignored. Which weakens the system"s robustness, and the design process is complex, and the order of the system is higher after decoupling. Therefore we propose the controller design method for MIMO Systems Based on the CDM(Coefficient Diagram Method) to achieve control objectives relatively in the view of utility. The problem of decoupling of MIMO systems is transformed into parameter optimization parameters. For this purpose, Firstly, the object function and two linear constraints are proposed, and the target function is optimized by the PSO(Particle Swarm Optimization) in the frequency domain to design the compensator to achieve decoupling. Secondly, the CDM can design the controller structure and parameters flexibly according to the system"s actual performance on the premise that it considers the stability, response characteristics, and robustness of the system. Therefore, the controller structure design and parameter tuning are based on the coefficient diagram method. Finally, the effectiveness of this method is verified by simulation examples.

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  • 收稿日期:2021-06-29
  • 最后修改日期:2021-09-11
  • 录用日期:2021-09-22
  • 在线发布日期: 2021-10-01
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