引用本文:吴晓雪,张国庆,张卫东.基于镜像映射原理的LNG液舱压力维持系统H优化控制[J].控制与决策,2020,35(2):501-506
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基于镜像映射原理的LNG液舱压力维持系统H优化控制
吴晓雪1, 张国庆2,3, 张卫东3
(1. 大连海洋大学信息工程学院,辽宁大连116023;2. 大连海事大学航海学院,辽宁大连116026;3. 上海交通大学电子信息与电气工程学院,上海200240)
摘要:
针对LNG液舱压力维持系统的压差控制问题,提出一种基于镜像映射原理的H优化控制算法.对该压力维持系统的非线性数学模型进行线性化处理,得到一类具有积分不稳定时滞形式 的线性模型,采用镜像映射技术将该模型的不稳定极点映射到其关于虚轴对称的复平面左半平面,构建其镜像稳定模型.进而采用H最小灵敏度优化算法设计该镜像稳定模型的控制器,分析可知,该控制律能够有效镇定原积分不稳定系统且满足H优化性能要求.所设计的控制器可等效为PID控制串联一个二阶滤波器,仅需对滤波器的“稳定度”单个参数进行整定,并引入图形稳定理论对闭环系统中该参数的精确稳定域进行定量分析.仿真结果验证了所提出算法的有效性和优越性.
关键词:  LNG液舱  压力维持系统  镜像映射  最小灵敏度优化  鲁棒控制  图形稳定理论
DOI:10.13195/j.kzyjc.2018.0662
分类号:TP273
基金项目:国家自然科学基金项目(51909018,51679024);辽宁省国际教育“十三五”科研规划项目(18LNGJ006);辽宁省博士科研启动基金项目(20170520189);辽宁省自然科学基金项目(20180520039);大连市科技创新基金项目(2019J12GX026).
H optimized control for pressure maintenance system of LNG tank via the mirror-mapping technique
WU Xiao-xue1,ZHANG Guo-qing2,3,ZHANG Wei-dong3
(1. College of Information Engineering,Dalian Ocean University, Dalian116023,China;2. Navigation College,Dalian Maritime University,Dalian116026,China;3. College of Electronic Information and Electrical Engineering,Shanghai Jiao Tong University,Shanghai200240,China)
Abstract:
To address the pressure maintenance problem for the insulation space of liquefied natural gas (LNG) tanks, a H optimized scheme is proposed based on the mirror-mapping technique. Firstly, the nonlinear model of the pressure maintenance system is linearized around its equilibrium, so as to obtain a kind of integral unstable time-delay model. Using the mirror-mapping technique, the unstable poles of the linear model are mapped onto the left-half complex plane, and the corresponding stable mirror-mapping model is derived. Then, the controller is developed based on the H minimum sensitivity optimization, and the robust performance for the unstable plant and the mirror-mapping one is equivalent. In addition, the proposed control law can be expressed as a PID control in series with a second order filter, and only one ``stability degree'' related parameter should be tuned to guarantee the closed-loop performance. The graphical stability criterion is adopted to determine the exact stable region for the related parameter. Finally, the simulation results verify the effectiveness and superiority of the proposed algorithm.
Key words:  LNG tank  pressure maintenance systems  mirror-mapping technique  minimum sensitivity optimization  robust control  graphical stability criterion

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