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

作者：Hmamed Abdelaziz; Ait Rami Mustapha; Benzaouia Abdellah; Tadeo Fernando^*

来源：European Journal of Control, 2012, 18(2): 182-190.

DOI：10.3166/EJC.18.182-190

• Positive systems
• stabilization
• delayed systems
• bounded controls
• linear programming

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.

• 出版日期2012-4