Constrained Control of Discrete-Time Linear Periodic System

被引:0
作者
Nguyen, H-N. [1 ]
Bourdais, R. [1 ]
机构
[1] IETR SUPELEC, F-35511 Cesson Sevigne, France
来源
2014 AMERICAN CONTROL CONFERENCE (ACC) | 2014年
关键词
UNCERTAIN;
D O I
暂无
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 aim of this paper is twofold. In the first part, we provide a method for constructing invariant sets for discrete-time linear periodic systems with state and input constraints. The main advantage of the method is that it generates invariant sets at any step of the underlying set iteration. In the second part a novel interpolating controller between a local unconstrained optimal control law and a global maximum state contractive controller is proposed. At each time instant, two linear programming problems are solved on-line. Proofs of recursive feasibility and asymptotic stability are given.
引用
收藏
页码:2960 / 2965
页数:6
相关论文
共 12 条
  • [1] Periodic control of helicopter rotors for attenuation of vibrations in forward flight
    Arcara, P
    Bittanti, S
    Lovera, M
    [J]. IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2000, 8 (06) : 883 - 894
  • [2] Bittanti S., 1996, CONTROL DYNAMICS SYS, V78, P313, DOI [DOI 10.1016/S0090-5267(96)80056-9, https://dx.doi.org/10.1016/s0090-5267(96)80056-9]
  • [3] LINEAR-PROGRAMMING APPROACH TO THE CONTROL OF DISCRETE-TIME PERIODIC-SYSTEMS WITH UNCERTAIN INPUTS
    BLANCHINI, F
    UKOVICH, W
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1993, 78 (03) : 523 - 539
  • [4] Böhm C, 2009, LECT NOTES CONTR INF, V384, P99, DOI 10.1007/978-3-642-01094-1_8
  • [5] SOME ANALYSIS-METHODS FOR ROTATING SYSTEMS WITH PERIODIC COEFFICIENTS
    DUGUNDJI, J
    WENDELL, JH
    [J]. AIAA JOURNAL, 1983, 21 (06) : 890 - 897
  • [6] Freuer A., 2010, P 19 INT S MATH THEO, V5
  • [7] Least-restrictive robust periodic model predictive control applied to room temperature regulation
    Gondhalekar, Ravi
    Oldewurtel, Frauke
    Jones, Colin N.
    [J]. AUTOMATICA, 2013, 49 (09) : 2760 - 2766
  • [8] MPC of constrained discrete-time linear periodic systems - A framework for asynchronous control: Strong feasibility, stability and optimality via periodic invariance
    Gondhalekar, Ravi
    Jones, Colin N.
    [J]. AUTOMATICA, 2011, 47 (02) : 326 - 333
  • [9] Implicit improved vertex control for uncertain, time-varying linear discrete-time systems with state and control constraints
    Hoai-Nam Nguyen
    Gutman, Per-Olof
    Olaru, Sorin
    Hovd, Morten
    [J]. AUTOMATICA, 2013, 49 (09) : 2754 - 2759
  • [10] Nguyen H. N., 2011, WORLD C, V44, P5741