Discrete-Time Positive Periodic Systems With State and Control Constraints

被引：29
|
作者：
Rami, Mustapha Ait [1 ]
Napp, Diego [2 ]
机构：
[1] Univ Picardie Jules Verne, LTI Dept, F-80000 Amiens, France
[2] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2016年 / 61卷 / 01期
关键词：
Constrained stabilization; linear programming; periodic systems; positive systems; STRUCTURAL-PROPERTIES; OUTPUT-FEEDBACK; LINEAR-SYSTEMS; STABILIZATION; REACHABILITY; STABILITY;
D O I：
10.1109/TAC.2015.2438428
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 technical note is to provide an efficient control design technique for discrete-time positive periodic systems. In particular, stability, positivity and periodic invariance of such systems are studied. Moreover, the concept of periodic invariance with respect to a collection of boxes is introduced and investigated with connection to stability. It is shown how such concept can be used for deriving a stabilizing state-feedback control that maintains the positivity of the closed-loop system and respects states and control signals constraints. In addition, all the proposed results can be efficiently solved in terms of linear programming.
引用
收藏
页码：234 / 239
页数：6
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