基于系数图法的多输入多输出系统控制器设计方法  被引量:1

Controller design of MIMO systems based on coefficient diagram method

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作  者:孟范伟 刘凯 孟圣亚 庞爱平 MENG Fan-wei;LIU Kai;MENG Sheng-ya;PANG Ai-ping(School of Control Engineering,Northeastern University at Qinhuangdao,Qinhuangdao 066004,China;School of Electrical Engineering,Guizhou University,Guiyang 550025,China)

机构地区:[1]东北大学秦皇岛分校控制工程学院,河北秦皇岛066004 [2]贵州大学电气工程学院,贵阳550025

出  处:《控制与决策》2023年第1期143-151,共9页Control and Decision

基  金:国家自然科学基金项目(12462007);河北省自然科学基金面上项目(F2019501012);贵州省教育厅青年人才成长项目(黔科合(KY[2021]100));贵州省科技厅科学技术基金项目(黔科合基础([2020]1Y273))。

摘  要:多输入多输出系统的交互作用会限制适用于单输入单输出系统的多种先进设计方法的使用,且多数关于多输入多输出系统控制研究只重视消除交互作用的影响,忽略系统控制问题,这样不但弱化系统的鲁棒性,且设计过程复杂,解耦后系统阶次也较高.鉴于此,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,将多输入多输出系统解耦问题转化为参数优化问题.首先,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,基于系数图法确定控制器结构及参数整定,兼顾系统的稳定性和鲁棒性;最后,通过仿真实验验证所提出方法的有效性.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 the problems of systems control are ignored,which weakens the system’s robustness,the design process is complex,and the order of the system is higher after decoupling.Therefore,we propose a controller design method for MIMO systems based on the coefficient diagram method(CDM)to achieve control objectives relatively in the view of utility.The problem of decoupling of MIMO systems is transformed into parameter optimization problems.For this purpose,Firstly,the object function and two linear constraints are proposed,and the target function is optimized by the particle swarm optimization(PSO)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.

关 键 词:多输入多输出系统 交互作用 解耦 粒子群算法 系数图法 控制器设计 

分 类 号:TP273[自动化与计算机技术—检测技术与自动化装置]

 

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