Sensor and Actuator Placement for Proportional Feedback Control in Advection-Diffusion Equations

被引：5
|
作者：
Veldman, D. W. M. [1 ]
Fey, R. H. B. [1 ]
Zwart, H. J. [1 ,2 ]
van de Wal, M. M. J. [3 ]
van den Boom, J. D. B. J. [4 ]
Nijmeijer, H. [1 ]
机构：
[1] Eindhoven Univ Technol, Dept Mech Engn, NL-5600 MB Eindhoven, Netherlands
[2] Univ Twente, Fac Elect Engn Math & Comp Sci, Dept Appl Math, NL-7500 AE Enschede, Netherlands
[3] ASML, Res, NL-5504 DR Veldhoven, Netherlands
[4] ASML, Dev & Engn, NL-5504 DR Veldhoven, Netherlands
来源：
IEEE CONTROL SYSTEMS LETTERS | 2020年 / 4卷 / 01期
关键词：
Distributed parameter systems; control system architecture; PID control;
D O I：
10.1109/LCSYS.2019.2921623
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this letter, advection-diffusion equations with constant coefficients on infinite 1-D and 2-D spatial domains are considered. Suitable sensor and/or actuator locations are determined for which high-gain and low-gain proportional feedback can effectively reduce the influence of a disturbance at a point of interest. These locations are characterized by simple analytic expressions which can be used as guidelines for control system design. The obtained analytic expressions are validated by numerical results.
引用
收藏
页码：193 / 198
页数：6
相关论文
共 50 条
  • [31] ON DESTABILIZING IMPLICIT FACTORS IN DISCRETE ADVECTION-DIFFUSION EQUATIONS
    BECKERS, JM
    JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 111 (02) : 260 - 265
  • [32] A CHEBYSHEV COLLOCATION ALGORITHM FOR THE SOLUTION OF ADVECTION-DIFFUSION EQUATIONS
    PINELLI, A
    BENOCCI, C
    DEVILLE, M
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1994, 116 (1-4) : 201 - 210
  • [33] A NEW SCHEME FOR THE APPROXIMATION OF ADVECTION-DIFFUSION EQUATIONS BY COLLOCATION
    FUNARO, D
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1993, 30 (06) : 1664 - 1676
  • [34] Optimal sensor and actuator placement for feedback control of vortex shedding
    Jin, Bo
    Illingworth, Simon J.
    Sandberg, Richard D.
    Journal of Fluid Mechanics, 2022, 932
  • [35] Optimal sensor and actuator placement for feedback control of vortex shedding
    Jin, Bo
    Illingworth, Simon J.
    Sandberg, Richard D.
    JOURNAL OF FLUID MECHANICS, 2021, 932
  • [36] Heuristics for Effective Actuator and Sensor Placement in Feedback Flow Control
    Chen, Kevin K.
    Rowley, Clarence W.
    ACTIVE FLOW AND COMBUSTION CONTROL 2014, 2015, 127 : 115 - 129
  • [37] Perfectly matched layers for the heat and advection-diffusion equations
    Lantos, Nicolas
    Nataf, Frederic
    JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 229 (24) : 9042 - 9052
  • [38] Stability and consistency of kinetic upwinding for advection-diffusion equations
    Torrilhon, Manuel
    Xu, Kun
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2006, 26 (04) : 686 - 722
  • [39] Shifted Feedback Suppression of Turbulent Behavior in Advection-Diffusion Systems
    Evain, C.
    Szwaj, C.
    Bielawski, S.
    Hosaka, M.
    Mochihashi, A.
    Katoh, M.
    Couprie, M. -E.
    PHYSICAL REVIEW LETTERS, 2009, 102 (13)
  • [40] Joint Online Parameter Estimation and Optimal Sensor Placement for the Partially Observed Stochastic Advection-Diffusion Equation
    Sharrock, Louis
    Kantas, Nikolas
    SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 2022, 10 (01): : 55 - 95
12345