Boundary predictive control of parabolic PDEs

被引：3

作者：

Dubljevic, Stevan ^{[1
]}

Christofides, Panagiotis D. ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Chem & Biomol Engn, Los Angeles, CA 90095 USA

来源：

2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12 | 2006年 / 1-12卷

关键词：

diffusion-reaction processes; dissipative systems; boundary control; parabolic PDEs; model predictive control; input/state constraints;

D O I：

10.1109/ACC.2006.1655329

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This work focuses on predictive control of linear parabolic partial differential equations (PDEs) with boundary control actuation subject to input and state constraints. Under the assumption that measurements of the PDE state are available. various finite-dimensional and infinite-dimensional predictive control formulations are presented and their ability to enforce stability and constraint satisfaction in the infinite-dimensional closed-loop system is analyzed. A numerical example of a linear parabolic PDE with unstable steady state and flux boundary control subject to state and control constraints is used to demonstrate the implementation and effectiveness of the predictive controllers.

引用

页码：49 / +

页数：2

共 34 条

[21] BOUNDARY CONTROL SYSTEMS
FATTORINI, HO
[J]. SIAM JOURNAL ON CONTROL, 1968, 6 (03): : 349 - +
[22] FLIESS M, P 37 C DEC CONTR, P439
[23] MODEL PREDICTIVE CONTROL - THEORY AND PRACTICE - A SURVEY
GARCIA, CE
PRETT, DM
MORARI, M
[J]. AUTOMATICA, 1989, 25 (03) : 335 - 348
[24] Henry D., 1981, Geometric Theory of Semilinear Parabolic Partial Differential Equations, DOI [DOI 10.1007/BFB0089647, 10.1007/BFb0089647]
[25] Khalil H. K., 1995, NONLINEAR SYSTEMS
[26] Kristic M., 1995, Nonlinear and Adaptive Control Design
[27] Laroche B, 2000, INT J ROBUST NONLIN, V10, P629, DOI 10.1002/1099-1239(20000715)10:8<629::AID-RNC502>3.0.CO
[28] 2-N
[29] Flatness-based boundary control of a class of quasilinear parabolic distributed parameter systems
Lynch, AF
Rudolph, J
[J]. INTERNATIONAL JOURNAL OF CONTROL, 2002, 75 (15) : 1219 - 1230
[30] Constrained model predictive control: Stability and optimality
Mayne, DQ
Rawlings, JB
Rao, CV
Scokaert, POM
[J]. AUTOMATICA, 2000, 36 (06) : 789 - 814

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