Stabilization Under Constrained States and Controls of Positive Systems with Time Delays

被引:22
作者
Hmamed, Abdelaziz [2 ]
Ait Rami, Mustapha [1 ]
Benzaouia, Abdellah [3 ]
Tadeo, Fernando [1 ]
机构
[1] Univ Valladolid, Dpto Ingn Sistemas & Automat, E-47005 Valladolid, Spain
[2] Univ Mohamed Ben Abdellah, Fac Sci Dhar El Mhraz, Fes, Morocco
[3] Univ Cadi Ayyad, EACPI, Fac Sci Semlalia, Marrakech, Morocco
关键词
Positive systems; stabilization; delayed systems; bounded controls; linear programming; STABILITY; FEEDBACK;
D O I
10.3166/EJC.18.182-190
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper solves the stabilization problem for positive linear discrete-time systems subject to time-delays, under state and control constraints. The synthesis of state-feedback stabilizing controllers is solved in terms of Linear Programming. The proposed approach deals with the stabilization with bounded controls and states, in the presence of possibly unknown delays. Also, the robust control design is considered, and it is illustrated with an example front pharmacokinetics.
引用
收藏
页码:182 / 190
页数:9
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