大系统结构分解的评价准则和控制系统结构设计方法Decomposition Evaluation Criteria and Control Structure Design of Large-Scale Systems
许锋,袁未未,罗雄麟
摘要(Abstract):
化工过程作为高维大系统往往存在内部耦合,且通常某些部分内部耦合严重,而与其余部分耦合作用较小。高维大系统可以根据内部耦合强弱划分子系统,并以分块的方式进行块分散控制。随着维数增加,可能的子系统划分方式迅速增加。为了解决大系统子系统划分和控制系统结构设计问题,本文以结构矩阵作为大系统子系统划分和变量配对的数学描述,提出了大系统简易度和可控度的概念,并以简易度和可控度的加权和作为大系统子系统划分的综合评价准则。依据该准则提出了一种优化的大系统子系统划分搜索方法,逐步增加子系统分块维数,迭代搜索大系统子系统划分,以尽可能小的分块维数实现相对能量增益阵对应的子系统分块行元素和尽可能接近于1,最终挑选出较为合理的大系统控制系统结构设计方案。最后以两个典型大系统实例分析说明了该方法的可行性和有效性。
关键词(KeyWords): 大系统;关联分析;子系统;块分散控制
基金项目(Foundation): 国家自然科学基金(21676295);; 中国石油大学(北京)科研基金(2462015YQ0510)
作者(Author): 许锋,袁未未,罗雄麟
参考文献(References):
- [1]Manousiouthakis V,Savage R,Arkun Y.Synthesis of decentralized process control structures using the concept of block realtive gain[J].AICh E Journal,1986,32(6):991-1003.
- [2]Bristol E H.On a new measure of interaction for multivariable process control[J].IEEE Transactions on Automatic Control,1966,1(1):133-134.
- [3]Jolevski D,Bego O,Sarajcev P.Control structure design and dynamics modelling of the organic Rankine cycle system[J].Energy,2017,121:193-204.
- [4]Zhao J,Yang C,Xue Z,et al.Analysis on interactive influences among control loops of multi inverters connected to weak-structured power system[C]//International Conference on Power and Renewable Energy.Shanghai:IEEE,2016:241-245.
- [5]Wang Y,Wang W,Wang C,et al.Coupling analysis on current control at low switching frequency for the three-phase PWM converter based on RGA and a novel output feedback decoupling method[J].IEEE Transactions on Industrial Electronics,2016,63(11):6684-6694.
- [6]Vijayan A T,Ashok S.Integrating visual guidance and feedback for an industrial robot[C]//2nd International Conference on Control and Robotics Engineering.Bangkok:IEEE,2017:18-22.
- [7]Moaveni B,Khakisedigh A.Input-output pairing for nonlinear multivariable systems[J].Journal of Applied Sciences,2007,7(22):3492-3498.
- [8]Kadhim A M H,Castano M,Birk W,et al.Relative gain array of weakly nonlinear systems using a nonparametric identification approach[C]//International Conference on Control Applications.Sydney:IEEE,2015:1612-1617.
- [9]Kadhim A M H,Birk W,Arranz M C.Dynamic relative gain array estimation using local polynomial approximation approach[J].Modeling Identification&Control,2016,37(4):247-259.
- [10]Xiong Q,Cai W J,He M J.A practical loop pairing criterion for multivariable processes[J].Journal of Process Control,2005,15(7):741-747.
- [11]He M J,Cai W J,Wei N,et al.RNGA based control system configuration for multivariable processes[J].Journal of Process Control,2009,19(6):1036-1042.
- [12]Anitha P M,Subbulekshmi D.RNGA algorithm of nonlinear chemical reactor[C]//International Conference on Emerging Trends in Electrical and Computer Technology.Nagercoil:IEEE,2011:303-308.
- [13]REN Li-hong(任丽红),LIU Yu-bo(刘雨波),LUO Xiong-lin(罗雄麟),et al.Association analysis and variable pairing for multivariable system with time delays(多变量时滞系统的关联分析与变量配对)[J].Control and Instruments in Chemical Industry(化工自动化及仪表),2012,39(6):743-746.
- [14]Zhu Z X,Jutan A.Loop decomposition and dynamic interaction analysis of decentralized control systems[J].Chemical Engineering Science,1996,51(12):3325-3335.
- [15]Conley A.MIMO interaction measure and controller structure selection[J].International Journal of Control,2004,77(4):367-383.
- [16]Cai W J,Ni W,He M J,et al.Normalized decoupling-a new approach for MIMO process control system design[J].Industrial and Engineering Chemistry Research,2008,47(19):7347-7356.
- [17]Campo P J,Morari M.Achievable closed-loop properties of systems under decentralized control:conditions involving the steady-state gain[J].IEEE Transactions on Automatic Control,1994,39(5):932-943.
- [18]Min S C,Arkun Y.Decentralized control structure selection based on integrity considerations[J].Industrial&Engineering Chemistry Research,1990,29(3):369-373.
- [19]Ohta Y,Siljak D D,Matsumoto T.Decentralized control using quasi-block diagonal dominance of transfer function matrices[J].IEEE Transactions on Automatic Control,1986,31(5):420-430.
- [20]Chen J.Relations between block relative gain and Euclidean condition number[J].IEEE Transactions Automatic Control,1992,37(1):127-129.
- [21]Grosdidier P,Morari M,Holt B R.Closed-loop properties from steady-state gain information[J].Industrial&Engineering Chemistry Fundamentals,1985,24(2):221-235.
- [22]Grosdidier P,Morari M.Interaction measures for systems under decentralized control[J].Automatica,1986,22(3):309-319.
- [23]Grosdidier P,Morari M.A computer aided methodology for the design of decentralized controllers[J].Computers&Chemical Engineering,1987,11(4):423-433.
- [24]Grosdidier P.Analysis of interaction direction with the singular value decomposition[J].Computers&Chemical Engineering,1990,14(6):687-689.
- [25]Hovd M,Skogestad S.Simple frequency-dependent tools for control system analysis,structure selection and design[J].Automatica,1992,28(5):989-996.
- [26]Kariwala V,And J F F,Meadows E S.Block relative gain:properties and pairing rules[J].Industrial&Engineering Chemistry Research,2003,42(20):4564-4574.
- [27]Reyes E N,Messina A R,Pérez M A.Design of wide-area damping controllers using the block relative gain[J].Electric Power Systems Research,2015,126:56-67.
- [28]Xie L,Cai X,Chen J,et al.GA based decomposition of large scale distributed model predictive control systems[J].Control Engineering Practice,2016,57:111-125.
- [29]Luo X L,Liu Y B,Xu F.Interaction analysis and decomposition principle for control structure design of large-scale system[J].Chinese Journal of Chemical Engineering,2014,22(1):59-71.
- [30]Luyben W L.Simple method for tuning SISO controllers in multivariable systems[J].Industrial&Engineering Chemistry Process Design&Development,1986,25(3):654-660.
- [31]Mcavoy T J,Ye N.Base control for the Tennessee Eastman problem[J].Computers&Chemical Engineering,1994,18(5):383-413.