Prediction-Based Control for Linear Systems with Input- and State- Delay – Robustness to Delay Mismatch
08 14 Category : Delay systems | All
Authors: D. Bresch-Pietri and N. Petit , 19th World Congress of the International Federation of Automatic Control (IFAC 2014), pp. 11410-11418, August 24-29, 2014, Cape Town
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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BibTeX:
@Proceedings{2014-10-14,
author = {Petit, D. Bresch-Pietri and N.},
editor = {},
title = {Prediction-Based Control for Linear Systems with Input- and State- Delay – Robustness to Delay Mismatch},
booktitle = {19th World Congress of the International Federation of Automatic Control (IFAC 2014)},
volume = {},
publisher = {},
address = {Cape Town},
pages = {11410-11418},
year = {2014},
abstract = {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.},
keywords = {}}
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.
Download PDF
BibTeX:
@Proceedings{2014-10-14,
author = {Petit, D. Bresch-Pietri and N.},
editor = {},
title = {Prediction-Based Control for Linear Systems with Input- and State- Delay – Robustness to Delay Mismatch},
booktitle = {19th World Congress of the International Federation of Automatic Control (IFAC 2014)},
volume = {},
publisher = {},
address = {Cape Town},
pages = {11410-11418},
year = {2014},
abstract = {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.},
keywords = {}}