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• W2972738239 abstract "Coupled parabolic partial differential equations (PDEs) are encountered in many mechatronic applications, such as the thermal control of elastic deformations. Our contribution considers spatially distributed inputs which actuate the PDEs through a bounded spatial function. The proposed method allows an inversion of the input-output dynamics and can be used for feedforward control and the compensation of disturbances. A crucial prerequisite is the ability to represent the spatial characteristic as a solution to an ordinary differential equation (ODE). This makes it possible to analyze the input-output behavior of the PDE system by virtue of differential geometric arguments. We extract a finite-dimensional subsystem containing all relevant properties of the input-output behavior. For instance, the outputs' relative degrees can be discussed using ODE methods. Furthermore, the convergence of the inverse system can be guaranteed if the internal dynamics are stable; a natural assumption for inversion-based approaches." @default.
• W2972738239 created "2019-09-19" @default.
• W2972738239 creator A5047391836 @default.
• W2972738239 creator A5062492785 @default.
• W2972738239 date "2019-07-01" @default.
• W2972738239 modified "2023-09-25" @default.
• W2972738239 title "Inversion of coupled parabolic PDEs with distributed acting inputs for feedforward controlling thermoelastic deformations" @default.
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• W2972738239 doi "https://doi.org/10.23919/acc.2019.8815187" @default.
• W2972738239 hasPublicationYear "2019" @default.
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