Model structure analysis in the application of multivariable predictive control

被引：0
|
作者：
Zou T. [1 ]
Gai J. [1 ]
He X. [1 ]
机构：
[1] College of Information Engineering, Zhejiang University of Technology
来源：
Dongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Southeast University (Natural Science Edition) | 2011年 / 41卷 / SUPPL. 1期
关键词：
Condition number; Model structure; Predictive control; Relative gain array; Singular value decomposition;
D O I：
10.3969/j.issn.1001-0505.2011.S1.010
中图分类号：
学科分类号：
摘要：
In order to solve the problem that identification error emerged in the model identification stage may cause the dependence of the steady state model higher, the relationship between the critical instability of the model structure and the performance of the multi-variable predictive control is investigated. First, the singular value decomposition (SVD) and the relative gain array (RGA) are used to analyze the linear dependence of the model structure and then the judgment method of critical instability of the model structure is given. Secondly, the improved method of the control system is given when there is critical instability of the model structure caused by identification error and mismatch between process control system design and equipment. Simulation results validate the influence of the model structure on the control performance and the effectiveness of the improved method.
引用
收藏
页码：43 / 48
页数：5
相关论文
共 13 条
  • [1] (1993)
  • [2] (2010)
  • [3] Camacho E.F., Bordons C., Model Predictive Control, (2004)
  • [4] Qin S.J., Badgwell T.A., A survey of industrial model predictive control technology, Control Engineering Practice, 7, 11, pp. 733-764, (2003)
  • [5] Ogunnaike B.A., Ray W.H., Process Dynamics, Modeling and Control, (1994)
  • [6] Andersen H.W., Kummel M., Evaluating estimation of gain directionality-Part 2: A case study of binary distillation, Journal of Process Control, 2, 2, pp. 67-86, (1992)
  • [7] Steven J.L., Linear Algebra with Applications, (2005)
  • [8] Fang Q., A note on the condition number of a matrix, Journal of Computational and Applied Mathematics, 157, 1, pp. 231-234, (2003)
  • [9] Aguiar P.M.Q., Stosi'c M., Xavier J., On singular values of partially prescribed matrices, Linear Algebra and its Applications, 429, 8-9, pp. 2136-2145, (2008)
  • [10] Li Z.C., Chien C.S., Huang H.T., Effective condition number for finite difference method, Journal of Computational and Applied Mathematics, 198, 1, pp. 208-235, (2007)
12