A gap metric based weighting method for multimodel predictive control of MIMO nonlinear systems

被引：57
作者：
Du, Jingjing [1 ,2 ]
Johansen, Tor Arne [1 ]
机构：
[1] Norwegian Univ Sci & Technol, Dept Engn Cybernet, NO-7491 Trondheim, Norway
[2] Henan Polytech Univ, Sch Elect Engn & Automat, Jiaozuo 454000, Peoples R China
来源：
JOURNAL OF PROCESS CONTROL | 2014年 / 24卷 / 09期
关键词：
Multimodel predictive control; Gap metric; Weighting function; MIMO nonlinear system; Multiple scheduling variables; ROBUSTNESS;
D O I：
10.1016/j.jprocont.2014.06.002
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A novel weighting method is proposed for multimodel predictive control of nonlinear systems with multiple scheduling variables (MIMO nonlinear systems), in which the gap metric is employed to formulate weighting functions for local controller combination. Compared to existent weighting functions, the proposed weighting method has two major advantages: firstly, there is only one tuning parameter, which makes it simpler. Secondly, the weights depend only on the scheduling vector and can be calculated off-line and stored in a look-up table. Therefore, the computational load can be reduced, especially for nonlinear systems with multiple scheduling variables. A MIMO CSTR system is studied to demonstrate the effectiveness of the proposed weighting method. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1346 / 1357
页数：12
相关论文
共 24 条
[1]   Multimodel scheduling control of nonlinear systems using gap metric [J].
Arslan, E ;
Çamurdan, MC ;
Palazoglu, A ;
Arkun, Y .
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 2004, 43 (26) :8275-8283
[2]   Extension of dynamic matrix control to multiple models [J].
Aufderheide, B ;
Bequette, BW .
COMPUTERS & CHEMICAL ENGINEERING, 2003, 27 (8-9) :1079-1096
[3]   On-line optimal trajectory control for a fermentation process using multi-linear models [J].
Azimzadeh, F ;
Galán, O ;
Romagnoli, JA .
COMPUTERS & CHEMICAL ENGINEERING, 2001, 25 (01) :15-26
[4]   Model predictive control of plant transitions using a new identification technique for interpolating nonlinear models [J].
Banerjee, A ;
Arkun, Y .
JOURNAL OF PROCESS CONTROL, 1998, 8 (5-6) :441-457
[5]   Multiple model predictive control for a hybrid proton exchange membrane fuel cell system [J].
Chen, Qihong ;
Gao, Lijun ;
Dougal, Roger A. ;
Quan, Shuhai .
JOURNAL OF POWER SOURCES, 2009, 191 (02) :473-482
[6]   A practical multiple model adaptive strategy for single-loop MPC [J].
Dougherty, D ;
Cooper, D .
CONTROL ENGINEERING PRACTICE, 2003, 11 (02) :141-159
[7]   Multilinear model decomposition of MIMO nonlinear systems and its implication for multilinear model-based control [J].
Du, Jingjing ;
Song, Chunyue ;
Yao, Yuan ;
Li, Ping .
JOURNAL OF PROCESS CONTROL, 2013, 23 (03) :271-281
[8]   Multimodel Control of Nonlinear Systems: An Integrated Design Procedure Based on Gap Metric and H∞ Loop Shaping [J].
Du, Jingjing ;
Song, Chunyue ;
Li, Ping .
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 2012, 51 (09) :3722-3731
[9]   A Gap Metric Based Nonlinearity Measure for Chemical Processes [J].
Du, Jingjing ;
Song, Chunyue ;
Li, Ping .
2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, :4440-4445
[10]   THE GAP METRIC - ROBUSTNESS OF STABILIZATION OF FEEDBACK-SYSTEMS [J].
ELSAKKARY, AK .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (03) :240-247
123