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双层结构模型预测控制稳态优化层QP与LP求解模态分析
Alternative TitleModal Analysis of QP and LP Solution in Steady-state Optimization Layer of Two-layer Structure MPC
王洪瑞1,2,3,4; 张鑫1,2,3; 刘博文1,2,3,4; 蔺娜5; 邹涛6
Department工业控制网络与系统研究室
Source Publication控制与信息技术
ISSN2096-5427
2020
Issue2Pages:1-7, 11
Contribution Rank1
Funding Organization国家重点研发计划(2018YFC0604403) ; 国家自然科学基金项目(61773366) ; 辽宁省博士启动基金(20180540066) ; 辽宁省自然科学基金资助计划项目(2019-KF-03-07)
Keyword模型预测控制 稳态优化 双层结构 二次规划(QP) 线性规划(LP)
Abstract

为解决双层结构预测控制在工程应用中存在的通用化需求及参数配置问题,针对稳态优化层研究两阶段求解策略的标准化过程,形成一系列线性规划(LP)和二次规划(QP)问题;提出目标函数含绝对值及数值截断误差问题的解决策略;针对所形成的LP及QP问题,从几何关系及代数关系两方面分析了解其特性,并分析了模型失配对LP及QP解的影响。仿真验证结果表明,随着决策变量权重系数变化,QP比LP的解具有更好的连续性,QP的权重系数能更精确调节决策变量的偏向性;可行域边界的变化导致LP的解一定发生变化,而一直在约束空间内部的QP解则不随时间变化。

Other Abstract

In order to solve the problems of generalized demand and parameter configuration in the engineering application of two-layer predictive control, a series of linear programming (LP) or quadratic programming (QP) problems are formed by studying the standardization process of the two-stage solution strategy in the steady-state optimization layer. It proposed a solution strategy of the objective function including absolute value and numerical truncation error, and analyzed the characteristics of solutions from the geometric and algebraic relations aiming at the problems of LP and QP. Simulation results prove that QP had better continuity than LP when the weight coefficient of decision variables are changed, and the weight coefficient of QP can more accurately adjust the bias of decision variables. The change of feasible region boundary results in the solution change of LP while the solution of QP which has been in the constraint space does not change with time.

Language中文
Document Type期刊论文
Identifierhttp://ir.sia.cn/handle/173321/26827
Collection工业控制网络与系统研究室
Corresponding Author王洪瑞
Affiliation1.中国科学院网络化控制系统重点实验室
2.中国科学院沈阳自动化研究所
3.中国科学院机器人与智能制造创新研究院
4.中国科学院大学
5.国家科技风险开发事业中心
6.广州大学
Recommended Citation
GB/T 7714
王洪瑞,张鑫,刘博文,等. 双层结构模型预测控制稳态优化层QP与LP求解模态分析[J]. 控制与信息技术,2020(2):1-7, 11.
APA 王洪瑞,张鑫,刘博文,蔺娜,&邹涛.(2020).双层结构模型预测控制稳态优化层QP与LP求解模态分析.控制与信息技术(2),1-7, 11.
MLA 王洪瑞,et al."双层结构模型预测控制稳态优化层QP与LP求解模态分析".控制与信息技术 .2(2020):1-7, 11.
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