Tracking control for boundary controlled parabolic PDEs with varying parameters: Combining backstepping and differential flatness |
| |
Authors: | Thomas Meurer [Author Vitae] Andreas Kugi [Author Vitae] |
| |
Affiliation: | Automation and Control Institute, Complex Dynamical Systems Group, Vienna University of Technology, Vienna, Austria |
| |
Abstract: | The combination of backstepping-based state-feedback control and flatness-based trajectory planning and feedforward control is considered for the design of an exponentially stabilizing tracking controller for a linear diffusion-convection-reaction system with spatially and temporally varying parameters and nonlinear boundary input. For this, in a first step the backstepping transformation is utilized to determine a state-feedback controller, which transforms the original distributed-parameter system into an appropriately chosen exponentially stable distributed-parameter target system of a significantly simpler structure. In a second step, the flatness property of the target system is exploited in order to determine the feedforward controller, which allows us to realize the tracking of suitably prescribed trajectories for the system output. This results in a systematic procedure for the design of an exponentially stabilizing tracking controller for the considered general linear diffusion-convection-reaction system with varying parameters, whose applicability and tracking performance is evaluated in simulation studies. |
| |
Keywords: | Tracking control Distributed-parameter systems Diffusion-convection-reaction systems Backstepping Stabilization Differential flatness Trajectory planning |
本文献已被 ScienceDirect 等数据库收录! |