Nonlinear Boundary Control of Semilinear Parabolic Systems
SIAM Journal on Control and Optimization
Flatness based control of a nonlinear chemical reactor model
Automatica (Journal of IFAC)
Stability and Stabilization of Infinite Dimensional Systems with Applications
Stability and Stabilization of Infinite Dimensional Systems with Applications
Flatness of Heavy Chain Systems
SIAM Journal on Control and Optimization
Paper: Pole assignment for distributed systems by finite-dimensional control
Automatica (Journal of IFAC)
On control design for PDEs with space-dependent diffusivity or time-dependent reactivity
Automatica (Journal of IFAC)
| Hi-index | 22.16 |
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.