Solvability of L1-induced Controller Synthesis for Positive Systems with Multiple Delays

Hong, Mai Thi; Hien, Le Van

doi:10.1007/s12555-020-0510-x

Cited by 3 publications

(1 citation statement)

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“…To the best of the authors' knowledge, there is limited literature on this field. The authors in References 15 and 16 investigated the stability problem for delayed positive systems while assuming a fixed time delay value. In Reference 4, an asymptotic stabilization of delayed positive coupled differential equations is assessed.…”

Section: Introductionmentioning

confidence: 99%

Exponential stability and stabilization of positive T‐S fuzzy delayed systems

Elloumi

Makni

Mehdi

et al. 2022

Optim Control Appl Methods

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The analysis of positive nonlinear delayed systems is of great importance for many real‐world applications. Such systems' stability and stabilization assessment is still an open topic, and there is limited literature on this field. Moreover, further convergence conditions should be considered for many experimental processes, such as exponential stability analysis, which is highly important. Considering the above, we deal in this study with the problem of exponential stability and stabilization of nonlinear fuzzy positive systems with delay. We establish exponential stability criteria using Lyapunov–Krasovskii functional (LKF) and a delay bi‐decomposition approach for bounded and time‐varying delayed systems. The obtained results are then extended to the exponential stabilization case. The control law is designed using Parallel distributed compensation (PDC). The proposed approach, formulated in terms of linear matrix inequalities (LMIs), allows reducing the conservativeness of the delay‐dependent conditions. A comparative study is presented to illustrate the superiority of our method. Moreover, simulation results for the two tanks process show the advantages of the proposed control design.

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Section: Introductionmentioning

confidence: 99%