Polynomial approach to the control of SISO periodic systems subject to input constraint

被引：17

作者：

Colaneri, P

Kucera, V

Longhi, S

机构：

[1] Politecn Milan, Dipartimento Elettr & Informat, I-20133 Milan, Italy

[2] Czech Tech Univ, Fac Elect Engn, Prague 16627, Czech Republic

[3] Univ Ancona, Dipartimento Elettron & Automat, I-60131 Ancona, Italy

来源：

AUTOMATICA | 2003年 / 39卷 / 08期

关键词：

polynomial methods; periodic systems; controller design; input constraints;

D O I：

10.1016/S0005-1098(03)00111-0

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of stabilization of single-input single-output discrete-time periodic systems subject to input constraint is discussed in this paper. Precisely, the initial state of the system is assumed to belong to a given polyhedron and the scalar input is constrained to be bounded. It is shown how this problem can be posed in terms of the polynomial description of the system. The solution can be found by using a linear programming optimization algorithm. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：1417 / 1424

页数：8

共 9 条

[1] Invariant representations of discrete-time periodic systems
Bittanti, S
Colaneri, P
[J]. AUTOMATICA, 2000, 36 (12) : 1777 - 1793
[2] BITTANTI S, 2002, P IFAC WORLD C BARC
[3] El Mrabet Y, 1998, SYST CONTROL LETT, V33, P241, DOI 10.1016/S0167-6911(97)00099-6
[4] HENNET JC, 1989, CR ACAD SCI I-MATH, V308, P415
[5] Control of linear systems subject to input constraints: a polynomial approach
Henrion, D
Tarbouriech, S
Kucera, V
[J]. AUTOMATICA, 2001, 37 (04) : 597 - 604
[6] HENRION D, 1999, C DEC CONTR PHOEN US
[7] Assigning closed-loop invariant polynomials over polytopes for linear periodic systems
Jetto, L
Longhi, S
[J]. AUTOMATICA, 1999, 35 (01) : 49 - 58
[8] KUCERA K, 1979, DISCRETE LINEAR CONT
[9] MODERN WIENER-HOPF DESIGN OF OPTIMAL CONTROLLERS .2. MULTIVARIABLE CASE
YOULA, DC
JABR, HA
BONGIORNO, JJ
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (03) : 319 - 338

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