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一类级联系统的边界控制 被引量：3

On the Boundary Control of a Cascade PDE-ODE System
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摘要 主要研究的是中间纽曼条件级联的反应扩散方程的边界控制问题.由于中间纽曼条件级联问题的特殊性,需要更新原有的Backstepping方法,得到新的Backstepping变换,根据相应条件得到核方程并对其求解,进而得到变换和控制律.通过逆变换及其有界性证明了闭环系统的指数稳定性. Boundary control of a cascaded reaction‐diffusion equation and an ODE system is considered ,and a revised backstepping transformation is introduced .The inverse transformation is also obtained .The ex‐ponential stabilization of the closed loop is proved through the inverse transformation and its boundedness .
作者 赵娜 谢成康 司元超
机构地区 西南大学数学与统计学院
出处 《西南大学学报（自然科学版）》 CAS CSCD 北大核心 2015年第1期93-98,共6页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金(11301427)
关键词 级联系统 边界控制 稳定性 cascade system boundary control stability
分类号 O231.2 [理学—运筹学与控制论]
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参考文献5

  • 1Zhongcheng Zhou,Chunli Guo.Stabilization of linear heat equation with a heat source at intermediate point by boundary control[J]. Automatica . 2012
  • 2Gian Antonio Susto,Miroslav Krstic.Control of PDE–ODE cascades with Neumann interconnections[J]. Journal of the Franklin Institute . 2009 (1)
  • 3S. Tang,C. Xie.Stabilization for a coupled PDE-ODE system with boundary control. Proceedings of the 49th IEEE Conference on Decision and Control . 2010
  • 4Tang, Shuxia,Xie, Chengkang.State and output feedback boundary control for a coupled PDEODE system. Systems and Control Letters . 2011
  • 5KRSTIC M,SMYSHLYAEV A.Boundary Control of PDEs:a Course on Backstepping Design. . 2008

同被引文献13

  • 1KRSTIC M,SMYSHLYAEV A. Boundary Control of PDEs: a Course on Backstepping Design [M]. Philadelphia: SI-AM, 2008: 13-63.
  • 2LIU W J. Boundary Feedback Stabilization of an Unstable Heat Equation [J]. Siam Journal on Control Optimization,2003, 42(3) ; 1033-1043.
  • 3BACCOIL A,PISANO A, ORLOV Y. Boundary Control of Counpled Reaction-Diffusion Processes with Constan Pa-rameters [J]. Automatic, 2015,54: 80 - 90.
  • 4VAZEQUEZ R, KRSTIC M. Maracm Q-Functions and Explicit Kernels for Stabilization of 2X2 Linear Hyperbolic Sys-tems with Consant Coefficients [J]. System & Control Letters, 2014,68: 33 - 42.
  • 5TANG S X,XIE C K. Stabilization for a Coupled PDE-ODE Control System [J], Journal of the Franklin Institute, 2011,348(8): 2142-2155.
  • 6TANG S X,XIE C K. State and Output Feedback Boundary Control for a Coupled PDE-ODE System [J].Systems &-Control Letters, 2011,60(8) : 540 - 545.
  • 7ZHAO A L, XIE C K. Stabilization of a Coupled Linear Plant and Reaction-Diffusion Process [J]. Journal of the FrankinInstitute, 2014,351(2): 857 - 877.
  • 8SUSTO G A,KRSTIC M. Control of PDE-ODE Cascades with Neumann Interconnections [J]. Jounal of the Franklin In-stitute, 2010,347(1): 284-314.
  • 9ZHOU Z C, GUO C L. Stabilization of Linear Heat Equation with a Heat Source at Intermediate Point by Boundary Con- trol[J].Automatica, 2013, 49(2): 448--456.
  • 10ZHOU Z C,XU C. Stabilization of a Second Order ODE-Heat System Coupling at Intermediate Point [J]. Automatic,2015,60: 57-64.

引证文献3

二级引证文献3

西南大学学报（自然科学版）
2015年 第1期

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