International Journal of applied mathematics and computer science

online read us now

Paper details

Number 3 - September 2018
Volume 28 - 2018

Robust controlled positive delayed systems with interval parameter uncertainties: A delay uniform decomposition approach

Wafa Elloumi, Driss Mehdi, Mohamed Chaabane

This paper is concerned with robust stabilization of continuous linear positive time-delay systems with parametric uncertainties. The delay considered in this work is a bounded time-varying function. Previously, we have demonstrated that the equidistant delay-decomposition technique is less conservative when it is applied to linear positive time-delay systems. Thus, we use simply a delay bi-decomposition in an appropriate Lyapunov–Krasovskii functional. By using classical and partitioned control gains, the state-feedback controllers developed in our work are formulated in terms of linear matrix inequalities. The efficiency of the proposed robust control laws is illustrated with via an example.

delay systems, robust stabilization, positive systems, parametric constraints, delay decomposition, LMIs.