摘要：AbstractThis contribution introduces a full-state boundary feedback for cylindrical heat conductors. The desired decay properties are imposed to the spectrum of linear, second-order parabolic partial differential equations (PDEs). The feedback-scheme exploits periodicity in angular direction for cylindrical coordinates to reduce the 3-dimensional (3-D) system to a set of 2-D subsystems by means of a Fourier transformation. A backstepping-based controller for shifting the spectra for each of the decoupled systems on 2-D domains is presented. It can be shown, that any decay rate of the overall tracking error can be achieved by superposing solely a finite number of these controllers. The validity of the approach is shown by simulations.
