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

Elloumi, W. ; Mehdi, D. ; Chaabane, M.

International Journal of Applied Mathematics and Computer Science, Tome 28 (2018) no. 3, pp. 441-450.

Résumé

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.

Détail

Keywords: delay system, robust stabilization, positive system, parametric constraints, delay decomposition, LMIs
Mots-clés : układ z opóźnieniem, stabilizacja odporna, układ dodatni, ograniczenia parametryczne, LMIs

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