摘要
提出了一种针对各子系统由一阶加分数阶滞后模型描述的多变量系统模型预测控制参数解析调优方法.首先推导了多变量分数阶滞后系统的状态空间模型;其次,基于该模型构建模型预测控制优化问题,并获得了控制信号的解析表达式;再次,对闭环控制系统进行解耦分析,揭示了模型预测控制器参数与系统闭环性能间的定量关系,通过将参数调优问题转化为极点配置问题,得到能够保证闭环系统性能的模型预测控制器参数取值的解析表达式;最后通过仿真实验验证了本文所设计的参数解析调优算法的有效性.
In this study,we propose an analytical model predictive control(MPC)tuning approach for a multivariable system described by first order plus fractional dead time model for each subsystem.Initially,the multivariable fractional dead time system is transformed into the state space form.Subsequently,an MPC optimization problem is constructed based on the aforementioned model,and an analytical expression can be obtained for the control signal.In addition,the decoupling analysis of the closed-loop control system reveals the quantitative relation between the predictive controller parameters of the model and the closed-loop performance of the system.Therefore,the parameter tuning problem can be redefined as a pole placement problem,and the MPC tuning formulas that ensure closed-loop performance are developed.Finally,the simulation results denote the effectiveness of the proposed analytical parameter tuning method.
作者
贺利乐
姜依纯
贺宁
吴文
曹进
HE Lile;JIANG Yichun;HE Ning;WU Wen;CAO Jin(School of Mechanical and Electrical Engineering,Xi'an University of Architecture and Technology,Xi'an 710055,China;Key Laboratory for Highway Construction Technology and Equipment of Ministry of Education(Chang'an University),Xi'an 710064,China;Northwest Branch of State Grid Corporation of China,Xi'an 710048,China)
出处
《信息与控制》
CSCD
北大核心
2019年第6期687-693,共7页
Information and Control
基金
陕西省教育厅基础科学研究专项计划资助项目(18JK0438)
陕西省科协青年人才托举计划资助项目(20180112)
道路施工技术与装备教育部重点实验室(长安大学)开放基金资助项目(300102258501)
陕西省自然科学基金青年人才基金资助项目(2019JQ-004).
关键词
模型预测控制
参数调优
多变量分数阶滞后系统
解析法
model predictive control
parameter tuning
multivariable fractional dead time system
analytical
