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Communication Dans Un Congrès Année : 2012

Design of a PI Control using Operator Theory for Infinite Dimensional Systems: Application to Hyperbolic PDE

Résumé

This paper considers the problem of control design for a nonlinear distributed parameter system in infinite dimension which is described by hyperbolic Partial Differential Equations (PDEs) of de Saint-Venant. For describing the dynamic of this nonlinear system over a wide operating range, the Multi-Models approach, which takes into account Linear Time Invariant (LTI) models defined around a set of operating points, has been used. By means of an Internal Model Boundary Control (IMBC), a new design of Proportional Integral (PI) feedback is performed through Bilinear Operator Inequality (BOI) and Linear Operator Inequality (LOI) technics. The new results have been simulated and also compared to the previous results, illustrating the new theoretical contribution.
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Dates et versions

hal-00734284 , version 1 (21-09-2012)

Identifiants

  • HAL Id : hal-00734284 , version 1

Citer

Valérie dos Santos, Mickael Rodrigues, Yongxin Wu. Design of a PI Control using Operator Theory for Infinite Dimensional Systems: Application to Hyperbolic PDE. Réunion commune EDP-SAR du 18-19 Septembre 2012., Sep 2012, France. Réunion commune EDP-SAR du 18-19 Septembre 2012. ⟨hal-00734284⟩
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