Funnel control for a class of nonlinear infinite-dimensional systems

被引：2

作者：

Hastir, Anthony ^{[1
,2
]}

Winkin, Joseph J. ^{[1
,2
]}

Dochain, Denis ^{[3
]}

机构：

[1] Univ Namur, Dept Math, Rue Bruxelles 61, B-5000 Namur, Belgium

[2] Univ Namur, Namur Inst Complex Syst naXys, Rue Bruxelles 61, B-5000 Namur, Belgium

[3] Catholic Univ Louvain, Inst Informat & Commun Technol Elect & Appl Math I, Ave Georges Lemaitre 4-6, B-1348 Louvain La Neuve, Belgium

来源：

AUTOMATICA | 2023年 / 152卷

关键词：

Nonlinear distributed parameter systems; Funnel control; Plug-flow tubular reactor; Sine-Gordon equation; GORDON; TRACKING;

D O I：

10.1016/j.automatica.2023.110964

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An adaptive funnel control method is considered for the regulation of the output for a class of nonlinear infinite-dimensional systems on real Hilbert spaces. After a decomposition of the state space and some change of variables related to the Byrnes-Isidori form, it is shown that the funnel controller presented in Berger et al. (2020) achieves the control objective under some assumptions on the nonlinear system dynamics, like well-posedness and Bounded-Input-State Bounded-Output (BISBO) stability. The theory is applied to the regulation of the temperature in a chemical plug-flow tubular reactor whose reaction kinetics are modeled by the Arrhenius nonlinearity. Furthermore a damped sine-Gordon model is shown to fit the required assumptions as well. The theoretical results are illustrated by means of numerical simulations. (c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：13

共 50 条

[1] H∞ control of a class of infinite-dimensional linear systems with nonlinear outputs
Xiao, MQ
Basar, T
[J]. ADVANCES IN DYNAMIC GAMES AND APPLICATIONS, 2000, 5 : 47 - 80
[2] The H∞-control problem for a class of infinite-dimensional systems
Jiang, Weisheng
Huang, Falun
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13E : 1413 - 1417
[3] Control of Hopf bifurcations for infinite-dimensional nonlinear systems
Xiao, MQ
Kang, W
[J]. NEW TRENDS IN NONLINEAR DYNAMICS AND CONTROL, AND THEIR APPLICATIONS, 2003, 295 : 101 - 116
[4] Funnel control in the presence of infinite-dimensional internal dynamics
Berger, Thomas
Puche, Marc
Schwenninger, Felix L.
[J]. SYSTEMS & CONTROL LETTERS, 2020, 139
[5] Stabilization of a class of partially observed infinite-dimensional systems with control constraints
Abouzaid, B.
Achhab, M. E.
Wertz, V.
[J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2009, 26 (01) : 79 - 94
[6] PERTURBATION PROPERTIES OF A CLASS OF INFINITE-DIMENSIONAL SYSTEMS WITH UNBOUNDED CONTROL AND OBSERVATION
BONTSEMA, J
CURTAIN, RF
[J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 1988, 5 (04) : 333 - 352
[7] Adaptive λ-tracking for a class of infinite-dimensional systems
Ilchmann, A
Logemann, H
[J]. SYSTEMS & CONTROL LETTERS, 1998, 34 (1-2) : 11 - 21
[8] AN ADAPTIVE SERVOMECHANISM FOR A CLASS OF INFINITE-DIMENSIONAL SYSTEMS
LOGEMANN, H
ILCHMANN, A
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1994, 32 (04) : 917 - 936
[9] Optimal control in nonlinear infinite-dimensional systems with nondifferentiability of two types
S. Ya. Serovaiskii
[J]. Mathematical Notes, 2006, 80 : 833 - 847
[10] Approximation methods in optimal control problems for nonlinear infinite-dimensional systems
Serovaiskii, S. Ya.
[J]. MATHEMATICAL NOTES, 2013, 94 (3-4) : 567 - 582

← 1 2 3 4 5 →