Comparison of two gap-metric-based weighting methods in multilinear model control
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- 英文论文题名：Comparison of two gap-metric-based weighting methods in multilinear model control
- 论文作者：Jingjing Du
- 英文论文作者：Jingjing Du ; College of Internet of Things Engineering ; Hohai Universtiy
- 年：2017
- 作者机构：College of Internet of Things Engineering,Hohai Universtiy;
- 英文论文关键词：multilinear model control ; gap metric ; weighting function ; nonlinear system
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（A）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
- 语种：英文
- 分类号：O231
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：4
- 文件大小：221k
- 原文格式：D
- 会议级别：全国
摘要
A 1/δ gap metric based weighting method is proposed for multilinear model control of nonlinear systems, in which the gap metric is employed to formulate weighting functions for local controller combination. Comparisons between the proposed weighting method and another 1-δ gap metric based weighting method have been made. A CSTR system is studied to demonstrate the effectiveness of the proposed weighting method. Simulations demonstrate that the proposed weighting method has all the advantages of the 1-δ weighting method. But it is more effective than the 1-δ gap weighting method, and more sensitive to the tuning parameters, making it much easier to apply.
A 1/δ gap metric based weighting method is proposed for multilinear model control of nonlinear systems, in which the gap metric is employed to formulate weighting functions for local controller combination. Comparisons between the proposed weighting method and another 1-δ gap metric based weighting method have been made. A CSTR system is studied to demonstrate the effectiveness of the proposed weighting method. Simulations demonstrate that the proposed weighting method has all the advantages of the 1-δ weighting method. But it is more effective than the 1-δ gap weighting method, and more sensitive to the tuning parameters, making it much easier to apply.
A 1/δ gap metric based weighting method is proposed for multilinear model control of nonlinear systems, in which the gap metric is employed to formulate weighting functions for local controller combination. Comparisons between the proposed weighting method and another 1-δ gap metric based weighting method have been made. A CSTR system is studied to demonstrate the effectiveness of the proposed weighting method. Simulations demonstrate that the proposed weighting method has all the advantages of the 1-δ weighting method. But it is more effective than the 1-δ gap weighting method, and more sensitive to the tuning parameters, making it much easier to apply.
引文
[1]J.Du,T.Johansen,A gap metric based weighting method for multimodel predictive control of MIMO nonlinear systems,Journal of Process Control[J],2014,24:1346-1357.
[2]O.Galán,J.A.Romagnoli,A.Palazoglu,Y.Arkun,Gap metric concept and implication for multilinear model-based controller design,Industrial and Engineering Chemical Research,42:2189-2197,2003.
[3]W.Tan,H.J.Marquez,T.Chen,J.Liu,Multimodel analysis and controller design for nonlinear processes.Comput.Chem.Eng.[J],2004,28:2667-2675.
[4]J.Du,T.Johansen,Integrated Multimodel Control of Nonlinear Systems Based on Gap Metric and Stability Margin,Industrial and Engineering Chemical Research[J],2014,53(24):10206–10215.
[5]J.Du,T.Johansen,Integrated Multilinear Model Predictive Control of Nonlinear Systems Based on Gap Metric,Ind.Eng.Chem.Res.,2015,54(22):6002–6011.
[6]E.Arslan,M.C.Camurdan,A.Palazoglu,Y.Arkun,Multimodel Scheduling Control of Nonlinear Systems using Gap Metric,Industrial and Engineering Chemical Research43(2004)8274-8283.
[7]J.Du,C.Song,P.Li,Multimodel control of nonlinear systems:An integrated design procedure based on gap metric and H∞loop-shaping,Industrial and Engineering Chemical Research,51:3722-3731,2012.
[8]X.Tao,D.Li,Y.Wang,N.Li,S.Li,Gap-metric-based multiple-model Predictive control with a polyhedral stability region.Ind.Eng.Chem.Res.[J],2015,54:11319-11329.
[9]C.Song,B.Wu,J.Zhao,P.Li,An integrated state space partition and optimal control method of multi-model for nonlinear systems based on hybrid systems.Journal of Process Control[J],2015,25:59-69.
[10]Q.Chi,J.Liang,A multiple model predictive control strategy in the PLS framework.Journal of Process Control[J],2015,25:129-141.
[11]R.Jeyasenthil,P.S.V.Nataraj,A multiple model gap-metric based approach to nonlinear quantitative feedback theory.IFAC-Papers On Line,2016,49-1:160-165.
[12]T.T.Georgiou and M.C.Smith,Optimal robustness in the gap metric,IEEE Transactions on Automatic Control[J],1990,35(6):673-686.
[13]A.K.El-Sakkary,The gap metric:Robustness of stabilization of feedback systems,IEEE Transactions on Automatic Control[J],1985,30(3):240-247.
[14]W.J.Rugh,J.S.Shamma,Research on gain scheduling,Automatica,36:1401-1425,2000.
[15]J.Du,;C.Song,Y.Yao,P.Li,Multilinear model decomposition of MIMO nonlinear systems and its implication for multilinear model-based control.Journal of Process Control[J],2013,23:271-281.
[2]O.Galán,J.A.Romagnoli,A.Palazoglu,Y.Arkun,Gap metric concept and implication for multilinear model-based controller design,Industrial and Engineering Chemical Research,42:2189-2197,2003.
[3]W.Tan,H.J.Marquez,T.Chen,J.Liu,Multimodel analysis and controller design for nonlinear processes.Comput.Chem.Eng.[J],2004,28:2667-2675.
[4]J.Du,T.Johansen,Integrated Multimodel Control of Nonlinear Systems Based on Gap Metric and Stability Margin,Industrial and Engineering Chemical Research[J],2014,53(24):10206–10215.
[5]J.Du,T.Johansen,Integrated Multilinear Model Predictive Control of Nonlinear Systems Based on Gap Metric,Ind.Eng.Chem.Res.,2015,54(22):6002–6011.
[6]E.Arslan,M.C.Camurdan,A.Palazoglu,Y.Arkun,Multimodel Scheduling Control of Nonlinear Systems using Gap Metric,Industrial and Engineering Chemical Research43(2004)8274-8283.
[7]J.Du,C.Song,P.Li,Multimodel control of nonlinear systems:An integrated design procedure based on gap metric and H∞loop-shaping,Industrial and Engineering Chemical Research,51:3722-3731,2012.
[8]X.Tao,D.Li,Y.Wang,N.Li,S.Li,Gap-metric-based multiple-model Predictive control with a polyhedral stability region.Ind.Eng.Chem.Res.[J],2015,54:11319-11329.
[9]C.Song,B.Wu,J.Zhao,P.Li,An integrated state space partition and optimal control method of multi-model for nonlinear systems based on hybrid systems.Journal of Process Control[J],2015,25:59-69.
[10]Q.Chi,J.Liang,A multiple model predictive control strategy in the PLS framework.Journal of Process Control[J],2015,25:129-141.
[11]R.Jeyasenthil,P.S.V.Nataraj,A multiple model gap-metric based approach to nonlinear quantitative feedback theory.IFAC-Papers On Line,2016,49-1:160-165.
[12]T.T.Georgiou and M.C.Smith,Optimal robustness in the gap metric,IEEE Transactions on Automatic Control[J],1990,35(6):673-686.
[13]A.K.El-Sakkary,The gap metric:Robustness of stabilization of feedback systems,IEEE Transactions on Automatic Control[J],1985,30(3):240-247.
[14]W.J.Rugh,J.S.Shamma,Research on gain scheduling,Automatica,36:1401-1425,2000.
[15]J.Du,;C.Song,Y.Yao,P.Li,Multilinear model decomposition of MIMO nonlinear systems and its implication for multilinear model-based control.Journal of Process Control[J],2013,23:271-281.