Abstract
There are still relatively few, but a growing number, of results on the experimental application of the backstepping design for boundary control and observer of PDEs. In Paranjape et al. (IEEE Trans Robot 29:625–640, 2013), the tracking control for flexible articulated wings on a robotic aircraft is designed by combining PDE backstepping for feedback stabilization and feedforward trajectory planning, and the performance of the designed boundary controller is demonstrated by conducting the experiment of bending a long thin beam. The validation of the backstepping boundary observer design using experimental data have been studied in Khosroushahi and Marquez (IEEE Trans Control Syst Technol 23:380–388, 2014) for microfluidic systems, in Hasan et al. (Automatica 68:75–86, 2016) for oil drilling, in Andrade (IEEE Trans Autom Control. Early access, 2020) for thermoacoustic instability in Rijke tube, and in Yu et al. (IEEE Trans Control Syst Technol. Early access, 2020) for congested freeway traffic following their design in Yu and Krstic (Automatica 100:38–51, 2019); Yu et al. (IFAC-PapersOnLine 52:183–188, 2019).
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Koga, S., Krstic, M. (2020). Experimental Study with Paraffin Melting. In: Materials Phase Change PDE Control & Estimation. Systems & Control: Foundations & Applications. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-58490-0_11
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