输入变量关联约束对约束优化控制的影响特性分析

罗雄麟; 周晓龙; 王书斌

doi:10.3724/SP.J.1004.2013.00679

输入变量关联约束对约束优化控制的影响特性分析

doi: 10.3724/SP.J.1004.2013.00679

1.
中国石油大学(北京)自动化研究所北京 102249

详细信息

通讯作者:
罗雄麟

计量
- 文章访问数: 1208
- HTML全文浏览量: 51
- PDF下载量: 1249
- 被引次数: 0
出版历程
- 收稿日期: 2012-05-11
- 修回日期: 2012-09-18
- 刊出日期: 2013-05-20

Analysis of Constrained Optimal Control with Related Constraints of Input Variables

1.
Research Institute of Automation, China University of Petroleum, Beijing 102249

摘要

摘要: 过程工业控制中除了存在常见的输入变量和输出变量幅值高低限约束, 由于工艺或者控制的需要也可能具有关于输入变量线性函数的关联约束. 不同约束条件之间的矛盾可能会造成约束条件无法全部满足, 失去了实施预测控制的基础. 从凸体顶点角度, 将具有输入关联约束的约束优化控制的可行性判定转化为凸多面集是否非空的问题. 为保证具有输入关联约束预测控制的有效实施, 本文将输入关联约束纳入到预测控制控制律的求解当中. 基于Newton控制框架, 考虑具有输入关联约束条件下, 得到基于区间控制思想的预测控制律的解析表达式, 从而分析输入关联约束条件对控制的影响. 通过典型系统模型的控制仿真实验, 验证以上方法的有效性.
- 输入变量关联约束 /
- 可行性 /
- 凸多面集 /
- 预测控制
Abstract: The constraints of input and output variables commonly exist in the chemical process control. These constraints are high-low limits of input variable, input variable variation and output variable. For the requirement of process or control, there may be a few related constraints of input variable. The inconsistency in different constraints cannot make all the constraints satisfied, which will lose the basis of implementation of model predictive control (MPC). From the view of polyhedral pole, the feasibility analysis of constrained optimal control is transformed into whether the convex polyhedron is empty or not. Based on the Newton control framework, for linear system with the related constraints of input variables, the analytical solution of control law of constrained predictive control based on zone control is deducted. The control law can be used to discuss the impact of related constraints on control. Simulation results of a typical system control problem show the effectiveness of the proposed methods.
- Related constraints of input variables /
- feasibility /
- convex polyhedron /
- model predictive control (MPC)

HTML全文

参考文献(1)

[1]

Perez T, Goodwin G C. Constrained predictive control of ship fin stabilizers to prevent dynamic stall. Control Engineering Practice, 2008, 16(4): 482-494[2] Maldonado M, Desbiens A, del Villar R. Potential use of model predictive control for optimizing the column flotation process. International Journal of Mineral Processing, 2009, 93(1): 26-33[3] Cristea M V, Agachi S P, Marinoiu V. Simulation and model predictive control of a UOP fluid catalytic cracking unit. Chemical Engineering and Processing: Process Intensification, 2003, 42(2): 67-91[4] Gruber J K, Doll M, Bordons C. Design and experimental validation of a constrained MPC for the air feed of a fuel cell. Control Engineering Practice, 2009, 17(8): 874-885[5] Zou Zhi-Yun, Liu Jian-You, Yu De-Hong, Liu Xing-Hong, Zhao Dan-Dan, Wang Zhi-Zhen, Guo Ning. A novel predictive control algorithm of linearly constrained system. CIESC Journal, 2010, 61(2): 413-419 (邹志云, 刘建友, 于德弘, 刘兴红, 赵丹丹, 王志甄, 郭宁. 一种新型线性约束系统预测控制算法. 化工学报, 2010, 61(2): 413-419)[6] Pión S, Camacho E F, Kuchen B, Pea M. Constrained predictive control of a greenhouse. Computers and Electronics in Agriculture, 2005, 49(3): 317-329[7] Zou Tao, Li Shao-Yuan. Multi-variable predictive control with output zone goal. Control and Decision, 2005, 20(2): 203-206 (邹涛, 李少远. 带有输出区域控制目标特性的多变量预测控制算法. 控制与决策, 2005, 20(2): 203-206)[8] Wang Yu-Hong, Huang De-Xian, Gao Dong-Jie, Jin Yi-Hui. Hybrid method to handle feasibility and constraint prioritization issues in predictive control. Control and Decision, 2004, 19(8): 8-12 (王宇红, 黄德先, 高东杰, 金以慧. 预测控制可行性与约束优先级的混杂处理. 控制与决策, 2004, 19(8): 8-12)[9] Yu Shi-Ming, Du Wei. Applications of goal programming in receding-horizon optimization and online identification of predictive control. Acta Automatica Sinica, 2002, 28(6): 995 -1000 (余世明, 杜维. 目标规划法在预测控制滚动优化及在线辨识中的应用. 自动化学报, 2002, 28(6): 995-1000)[10] Abou-Jeyab R A, Gupta Y P, Gervais J R, Branchi P A, Woo S S. Constrained multivariable control of a distillation column using a simplified model predictive control algorithm. Journal of Process Control, 2001, 11(5): 509-517[11] Vada J, Slupphaug O, Foss B A. Infeasibility handling in linear MPC subject to prioritized constraints. In: Proceedings of the 14th IFAC World Congress. Beijing China: IFAC, 1999. 163-168[12] Zhang Jun, Xi Yu-Geng. Direct algorithm of constrained predictive control based on geometry analysis. Control and Decision, 1997, 12(2): 184-187 (张峻, 席裕庚. 基于几何分析的约束预测控制直接算法. 控制与决策, 1997, 12(2): 184-187)[13] Xi Yu-Geng, Li Kang. Feasibility analysis of constrained multi-objective multi-degree-of-freedom optimization control in industrial processes. Control Theory and Application, 1995, 12(5): 590-596 (席裕庚, 李慷. 工业过程有约束多目标多自由度优化控制的可行性分析. 控制理论与应用, 1995, 12(5): 590-596)[14] Li W C, Biegler L T. Multistep, Newton-type control strategies for constrained, nonlinear processes. Chemical Engineering Research and Design, 1989, 67(10): 562-577[15] de Oliveira N M C, Biegler L T. Constraint handing and stability properties of model predictive control. AIChE Journal, 2004, 40(7): 1138-1155[16] Zhang Xi-Ling, Wang Shu-Bin, Luo Xiong-Lin. Feasibility analysis and constraints adjustment of constrained optimal control in chemical processes. CIESC Journal, 2011, 62(9): 2546-2554 (张惜岭, 王书斌, 罗雄麟. 化工过程约束优化控制的可行性分析及约束处理. 化工学报, 2011, 62(9): 2546-2554)[17] Dai Lian-Kui, Li Xiao-Dong. A new method for feasibility analysis of steady constrained optimization system. Control Theory and Application, 1998, 15(6): 925-928(戴连奎, 李晓东. 稳态约束优化控制可行性分析的新方法. 控制理论与应用, 1998, 15(6): 925-928)[18] Chen Bao-Lin. The Theory and Algorithms of Optimization. Beijing: Tsinghua University Press, 1989 (陈宝林. 最优化理论与算法. 北京: 清华大学出版社, 1989)[19] Wang Feng, Zhang Qi-Ping, Zhou Han, Li Feng-Min. A zone-control algorithm with unequal limits in the model predictive control. Computers and Applied Chemistry, 2005, 22(5): 349-354 (王锋, 张启平, 周涵, 李风敏. 可实现单边区间控制的模型预测控制算法. 计算机与应用化学, 2005, 22(5): 349-354)[20] Wood R K, Berry M W. Terminal composition control of a binary distillation column. Chemical Engineering Science, 1973, 28(9): 1707-1717

施引文献

资源附件(0)

访问统计