Explicit Spatiotemporal Response of Singular Distributed Parameter Temperature Control System
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- 英文论文题名：Explicit Spatiotemporal Response of Singular Distributed Parameter Temperature Control System
- 论文作者：Yushan Jiang ; Chao Liu
- 英文论文作者：Yushan Jiang ; Chao Liu ; Institute of System Science ; Northeastern University ; College of Mathematics and Statistics ; Northeastern University at Qinhuangdao
- 年：2017
- 作者机构：Institute of System Science,Northeastern University;College of Mathematics and Statistics,Northeastern University at Qinhuangdao;
- 英文论文关键词：singular system ; spatiotemporal state response ; spectrum decomposition
- 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：5
- 文件大小：270k
- 原文格式：D
- 会议级别：全国
摘要
This work presents an efficient nonlinear SDPS model about multi-function building cooling activities. Relevant slow-fast heat conduction process is considered by singular perturbation transformation. And also the spatial nonlinear diffusion property is considered through Laplace operator. On solvability, the explicit state response of SDPS model is addressed with singular system theory and PDE spectrum theory. A clear formulation of temperature spatiotemporal distribution is obtained by Duhamel method.
This work presents an efficient nonlinear SDPS model about multi-function building cooling activities. Relevant slow-fast heat conduction process is considered by singular perturbation transformation. And also the spatial nonlinear diffusion property is considered through Laplace operator. On solvability, the explicit state response of SDPS model is addressed with singular system theory and PDE spectrum theory. A clear formulation of temperature spatiotemporal distribution is obtained by Duhamel method.
This work presents an efficient nonlinear SDPS model about multi-function building cooling activities. Relevant slow-fast heat conduction process is considered by singular perturbation transformation. And also the spatial nonlinear diffusion property is considered through Laplace operator. On solvability, the explicit state response of SDPS model is addressed with singular system theory and PDE spectrum theory. A clear formulation of temperature spatiotemporal distribution is obtained by Duhamel method.
引文
[1]H.Scherer,M.Pasamontes,J.Guzman,J.Alvarez,E.Camponogara,J.Normey-Rico,Efficient building energy management using distributed model predictive control,Journal of Process Control 24(6):740-749,2014.
[2]N.Buzalo,P.Ermachenko,A.Bulgakov,N.Zakharchenko,Mathematical modeling of energy balance in the photobiological treatment plants,Procedia Engineering 123(1):117-124,2015.
[3]Y.Wang,A quasilinear attraction-repulsion chemotaxis system of parabolic-elliptic type with logistic source,Journal of Mathematical Analysis and Applications,441(1):259-292,2016.
[4]W.Marszalek,Z.Trzaska,A boundary-value problem for linear PDAEs,International Journal of Applied Mathematics and Computer Science,12(4):487-491,2002.
[5]D.Tsubakino,S.Hara,Backstepping observer design for parabolic PDEs with measurement of weighted spatial averages,Automatica,53:179-187,2015.
[6]Y.Si,C.Xie,N.Zhao,Boundary control for a class of reaction-diffusion systems,International Journal of Automation and Computing,2016:1-9,2016.
[7]J.Li,Y.Liu,Adaptive stabilization of coupled PDE-ODE systems with multiple uncertainties,ESAIM-Control Optimisation and Calculus of Variations,20(2):488-516,2014.
[8]Y.Jiang,Q.Zhang,Estimation and global stability analysis of PDAEs with singular time derivative matrix and wetland conservation application,Discrete Dynamics in Nature and Society,2016:1-10,2016.
[9]M.Krstic,A.Smyshlyaev,Boundary Control of PDEs:A Course on Backstepping Designs,Advances in Design and Control 16,SIAM,2008.
[10]A.Smyshlyaev,M.Krstic,Backstepping observers for a class of parabolic PDEs,Systems&Control Letters,54(7):613-625,2005.
[11]S.Xu,J.Lam,Robust Control and Filtering of Singular Systems,Vol.332 of Lecture Notes in Control and Information Science,Springer Berlin Heidelberg,2006.
[2]N.Buzalo,P.Ermachenko,A.Bulgakov,N.Zakharchenko,Mathematical modeling of energy balance in the photobiological treatment plants,Procedia Engineering 123(1):117-124,2015.
[3]Y.Wang,A quasilinear attraction-repulsion chemotaxis system of parabolic-elliptic type with logistic source,Journal of Mathematical Analysis and Applications,441(1):259-292,2016.
[4]W.Marszalek,Z.Trzaska,A boundary-value problem for linear PDAEs,International Journal of Applied Mathematics and Computer Science,12(4):487-491,2002.
[5]D.Tsubakino,S.Hara,Backstepping observer design for parabolic PDEs with measurement of weighted spatial averages,Automatica,53:179-187,2015.
[6]Y.Si,C.Xie,N.Zhao,Boundary control for a class of reaction-diffusion systems,International Journal of Automation and Computing,2016:1-9,2016.
[7]J.Li,Y.Liu,Adaptive stabilization of coupled PDE-ODE systems with multiple uncertainties,ESAIM-Control Optimisation and Calculus of Variations,20(2):488-516,2014.
[8]Y.Jiang,Q.Zhang,Estimation and global stability analysis of PDAEs with singular time derivative matrix and wetland conservation application,Discrete Dynamics in Nature and Society,2016:1-10,2016.
[9]M.Krstic,A.Smyshlyaev,Boundary Control of PDEs:A Course on Backstepping Designs,Advances in Design and Control 16,SIAM,2008.
[10]A.Smyshlyaev,M.Krstic,Backstepping observers for a class of parabolic PDEs,Systems&Control Letters,54(7):613-625,2005.
[11]S.Xu,J.Lam,Robust Control and Filtering of Singular Systems,Vol.332 of Lecture Notes in Control and Information Science,Springer Berlin Heidelberg,2006.