化工学报2018，Vol.69Issue(3)：1102-1113,12.DOI:10.11949/j.issn.0438-1157.20171138
基于常数对角优势补偿阵的多变量控制系统逆Nyquist阵列设计
Inverse Nyquist array for multivariable control system using constant diagonal dominant pre-compensation matrix
摘要
Abstract
There are coupling effects between input and output variables of multivariable system of chemical processes. In control system design, diagonal dominance is usually implemented in transfer function matrix and then several single loop controllers are deployed. Since it is easy to define diagonal dominance by inversing transfer function, a pseudo diagonal dominance method was used to develop constant diagonal dominant compensation matrix for inverse transfer function. First, diagonal dominance was obtained by minimizing sum of module value squares of off-diagonal elements in each row of inverse open-loop transfer-function matrix at one or more frequency points. Then, inverse Nyquist array design method was adopted to design controller for the compensated system. Based on inverse Nyquist stability criterion, diagonal dominance degree was decided from dominance curve and Gershgorin diagram. Parameter range of feedback matrix was also selected from Gershgorin diagram. Dynamic compensators were designed according to method of single variable system, so that the system met quality requirements of dynamic controls. Finally, study on three examples show that the design method is simple and the control performance is excellent.关键词
过程控制/多变量系统/逆Nyquist阵列设计/对角优势/集中控制Key words
process control/multivariable systems/inverse Nyquist array design/diagonal dominance/centralized control分类
信息技术与安全科学引用本文复制引用
许锋,王启航,罗雄麟..基于常数对角优势补偿阵的多变量控制系统逆Nyquist阵列设计[J].化工学报,2018,69(3):1102-1113,12.基金项目
国家自然科学基金项目(21676295) （21676295）
中国石油大学(北京)科研基金资助项目(2462015YQ0510).supported the National Natural Science Foundation of China(21676295)and the Science Foundation of China University of Petroleum,Beijing(2462015YQ0510). （北京）
