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Linear programming-based event-triggered output feedback control for singular systems with time delays
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DOI：10.1016/j.cnsns.2026.110488.png)
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Abstract
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• A component-wise event-triggered output feedback mechanism is adapted to continuous-time singular positive systems with time delays. • For a prescribed triggering threshold σ, an LP-based synthesis condition computes the static output-feedback gain while preserving the Metzler/non-negativity structure; the comparison margin ρ is certified a posteriori from the feasible LP certificate. This bypasses the non-convex bilinear matrix inequalities typical of static output feedback design. • The closed-loop system is proven to be regular, impulse-free, positive, and stable. • Under the structural conditions and σ ≥ 1, Zeno behaviour is excluded by deriving a strictly positive minimum inter-event time. • In the numerical examples, the proposed method substantially reduces the number of control updates relative to a continuous-time implementation.
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