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