Late-lumping backstepping control of partial differential equations
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We consider in this paper three different partial differential equations (PDEs) that can be exponentially stabilized using backstepping controllers. For implementation, a finite-dimensional controller is generally needed. The backstepping controllers are approximated and it is proven that the finite-dimensional approximated controller stabilizes the original system if the order is high enough. This approach is known as late-lumping. The other approach to controller design for PDEs first approximates the PDE and then a controller is designed; this is known as early-lumping. Simulation results comparing the performance of late-lumping and early-lumping controllers are provided.
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Jean Auriol, Kirsten Morris, Florent Di Meglio (2019). Late-lumping backstepping control of partial differential equations. UWSpace. http://hdl.handle.net/10012/16039
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