Robust invariant sets for constrained storage systems

被引：5

作者：

Borrelli, Francesco ^{[1
]}

Del Vecchio, Carmen ^{[2
]}

Parisio, Alessandra ^{[2
]}

机构：

[1] Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USA

[2] Univ Sannio, Dipartimento Ingn, I-82100 Benevento, Italy

来源：

AUTOMATICA | 2009年 / 45卷 / 12期

关键词：

Invariant sets; Constrained control; Storage systems; RECEDING HORIZON CONTROL; DEMAND;

D O I：

10.1016/j.automatica.2009.09.028

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Several items are produced and stored into n buffers in order to supply an external demand without interruptions. We consider the classical problem of determining control laws and smallest buffer levels guaranteeing that an unknown bounded demand is always satisfied. A simple model with n decoupled integrators and n additive bounded disturbances is employed. The coupling arises from bounds on the total production capacity and on the total demand. Invariant set theory for linear and switched linear systems is exploited to compute robust positive invariant sets and controlled robust invariant sets for two commonly adopted scheduling policies. This paper provides the explicit expression of the invariant sets for any arbitrary n. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2930 / 2936

页数：7

共 50 条

[1] On maximal robust positively invariant sets in constrained nonlinear systems
Esterhuizen, Willem
Aschenbruck, Tim
Streif, Stefan
AUTOMATICA, 2020, 119
[2] Hierarchical clustering of constrained dynamic systems using robust positively invariant sets
Wang, Wenqing
Koeln, Justin P.
AUTOMATICA, 2023, 147
[3] Robust Invariant Sets Generation for State-Constrained Perturbed Polynomial Systems
Xue, Bai
Wang, Qiuye
Zhan, Naijun
Franzle, Martin
PROCEEDINGS OF THE 2019 22ND ACM INTERNATIONAL CONFERENCE ON HYBRID SYSTEMS: COMPUTATION AND CONTROL (HSCC '19), 2019, : 128 - 137
[4] Computing robust control invariant sets of constrained nonlinear systems: A graph algorithm approach
Decardi-Nelson, Benjamin
Liu, Jinfeng
COMPUTERS & CHEMICAL ENGINEERING, 2021, 145
[5] Robust receding horizon control for piecewise linear systems based on constrained positively invariant sets
Mukai, M
Azuma, T
Fujita, M
PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2002, 1-6 : 2348 - 2353
[6] Constructing constrained invariant sets in multiscale continuum systems
Morgan, D
Bollt, EM
Schwartz, IB
PHYSICAL REVIEW E, 2003, 68 (05):
[7] Enlarging ellipsoidal invariant sets for constrained linear systems
Rami, Mustapha Ait
Ayad, Hassan
Mesquine, Fouad
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2007, 3 (05): : 1097 - 1108
[8] Computing Robust Controlled Invariant Sets of Linear Systems
Rungger, Matthias
Tabuada, Paulo
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (07) : 3665 - 3670
[9] Invariant sets: a generalization to constrained systems with state dependent disturbances
De Santis, E
PROCEEDINGS OF THE 37TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1998, : 622 - 623
[10] A Novel Approach to the Computation of Polyhedral Invariant Sets for Constrained Systems
Sheer, Sagi
Gutman, Per-Olof
2016 IEEE CONFERENCE ON COMPUTER AIDED CONTROL SYSTEM DESIGN (CACSD), 2016, : 1428 - 1433

← 1 2 3 4 5 →