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Interval observer design and control of uncertain non-homogeneous heat equations

Abstract : The problems of state estimation and observer-based control for heat non-homogeneous equations under distributed in space point measurements are considered. First, an interval observer is designed in the form of Partial Differential Equations (PDEs), without Galerkin projection. Second, conditions of boundedness of the interval observer solutions with non-zero boundary conditions and measurement noise are proposed. Third, the obtained interval estimates are used to design a dynamic output-feedback stabilizing controller. The advantages of the PDE-based interval observer over the approximation-based one are clearly shown in the numerical example.
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Submitted on : Tuesday, September 10, 2019 - 1:39:48 PM
Last modification on : Tuesday, November 22, 2022 - 2:26:16 PM
Long-term archiving on: : Friday, February 7, 2020 - 11:13:35 PM


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Tatiana Kharkovskaia, Denis Efimov, Emilia Fridman, Andrey Polyakov, Jean-Pierre Richard. Interval observer design and control of uncertain non-homogeneous heat equations. Automatica, 2020, 111, ⟨10.1016/j.automatica.2019.108595⟩. ⟨hal-02283008⟩



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