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Prediction-Based Control for Linear Systems with Input- and State- Delay – Robustness to Delay Mismatch

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Résumé

This paper addresses the design of a robust prediction-based controller for linear systems with both input and state delays. We extend the usual prediction-based scheme to state delay and prove its robustness to sufficiently small delay mismatches. Our approach is grounded on the linking of two recently proposed infinite-dimensional techniques: a Complete-Type Lyapunov functional, which enables state delay systems stability analysis, and tools from the field of Partial Differential Equations, reformulating the delays as transport equations and introducing a tailored backstepping transformation. We illustrate the merits of the proposed technique with simulations on a process dryer system.
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Dates et versions

hal-01085249 , version 1 (21-11-2014)

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  • HAL Id : hal-01085249 , version 1

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Delphine Bresch-Pietri, Nicolas Petit. Prediction-Based Control for Linear Systems with Input- and State- Delay – Robustness to Delay Mismatch. 19th World Congress of the International Federation of Automatic Control, IFAC, Aug 2014, Cape Town, South Africa. pp.11410-11418. ⟨hal-01085249⟩
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