Robust Multi-Parametric Control of Continuous-Time Linear Dynamic Systems

被引:0
作者
Sun, Muxin [1 ,2 ]
Villanueva, Mario E. [2 ]
Pistikopoulos, Efstratios N. [2 ]
Chachuat, Benoit [1 ]
机构
[1] Imperial Coll London, Ctr Proc Syst Engn, Dept Chem Engn, London SW7 2AZ, England
[2] Texas A&M Univ, Artie McFerrin Dept Chem Engn, College Stn, TX 77843 USA
来源
IFAC PAPERSONLINE | 2017年 / 50卷 / 01期
关键词
Robust model predictive control; Constrained linear-quadratic regulation; Multi-parametric programming; Multi-parametric NCO-tracking; MODEL-PREDICTIVE CONTROL; OPTIMIZATION; UNCERTAINTY; DESIGN;
D O I
10.1016/j.ifacol.2017.08.690
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We extend a recent methodology called multi-parametric NCO-tracking for the design of parametric controllers for continuous-time linear dynamic systems in the presence of uncertainty. The approach involves backing-off the path and terminal state constraints based on a worst-case uncertainty propagation determined using either interval analysis or ellipsoidal calculus. We address the case of additive uncertainty, and we discuss approaches to handling multiplicative uncertainty that retain tractability of the mp-NCO-tracking design problem, subject to extra conservatism. These developments are illustrated with the case study of a fluidized catalytic cracking (FCC) unit operated in partial combustion mode. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码:4660 / 4665
页数:6
相关论文
共 17 条
  • [1] Bemporad A, 1999, LECT NOTES CONTR INF, V245, P207
  • [2] On the role of the necessary conditions of optimality in structuring dynamic real-time optimization schemes
    Bonvin, Dominique
    Srinivasan, Bala
    [J]. COMPUTERS & CHEMICAL ENGINEERING, 2013, 51 : 172 - 180
  • [3] Set-Theoretic Approaches in Analysis, Estimation and Control of Nonlinear Systems
    Chachuat, Benoit
    Houska, Boris
    Paulen, Radoslav
    Peric, Nikola
    Rajyaguru, Jai
    Villanueva, Mario E.
    [J]. IFAC PAPERSONLINE, 2015, 48 (08): : 981 - 995
  • [4] A Short Note on Constrained Linear Control Systems With Multiplicative Ellipsoidal Uncertainty
    Houska, Boris
    Mohammadi, Adeleh
    Diehl, Moritz
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (12) : 4106 - 4111
  • [5] Robust optimization of nonlinear dynamic systems with application to a jacketed tubular reactor
    Houska, Boris
    Logist, Filip
    Van Impe, Jan
    Diehl, Moritz
    [J]. JOURNAL OF PROCESS CONTROL, 2012, 22 (06) : 1152 - 1160
  • [6] PROCEDURE FOR REGULATORY CONTROL-STRUCTURE SELECTION WITH APPLICATION TO THE FCC PROCESS
    HOVD, M
    SKOGESTAD, S
    [J]. AICHE JOURNAL, 1993, 39 (12) : 1938 - 1953
  • [7] Dynamic optimization in the presence of uncertainty: From off-line nominal solution to measurement-based implementation
    Kadam, J. V.
    Schlegel, M.
    Srinivasan, B.
    Bonvin, D.
    Marquardt, W.
    [J]. JOURNAL OF PROCESS CONTROL, 2007, 17 (05) : 389 - 398
  • [8] An algorithm for robust explicit/multi-parametric model predictive control
    Kouramas, K. I.
    Panos, C.
    Faisca, N. P.
    Pistikopoulos, E. N.
    [J]. AUTOMATICA, 2013, 49 (02) : 381 - 389
  • [9] Kurzhanski A, 1994, ELLIPSOIDAL CALCULUS
  • [10] Robust model predictive control of constrained linear systems with bounded disturbances
    Mayne, DQ
    Seron, MM
    Rakovic, SV
    [J]. AUTOMATICA, 2005, 41 (02) : 219 - 224