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

Delphine Bresch-Pietri (1) , Nicolas Petit (2)

1 MIT - Massachusetts Institute of Technology
2 CAS - Centre Automatique et Systèmes

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.

Domaines: Systèmes et contrôle [cs.SY]

Delphine Bresch-Pietri, Nicolas Petit. Prediction-Based Control for Linear Systems with Input- and State- Delay - Robustness to Delay Mismatch. IFAC World Congress 2014, Aug 2014, South Africa. pp.11410-11418. ⟨hal-01059862⟩