8 papers
Dynamic output-feedback stabilization of uncertain linear dynamics via digital twins
Philipp A. Guth, Karl Kunisch, Sergio S. Rodrigues +1
This work presents a digital twin framework for output-feedback stabilization and parameter identification in uncertain dynamical systems. A virtual model evolves in parallel with…
Finite-Dimensional Feedback Stabilization of Nonautonomous Stochastic Parabolic Equations
Behzad Azmi, Jonas von der Heydt, Sergio Rodrigues
We investigate finite-dimensional feedback stabilization for nonlinear nonautonomous stochastic parabolic equations driven by -Wiener, covering both additive and multiplicative…
Stabilization of nonautonomous linear parabolic equations with inputs subject to time-delay
Karl Kunisch, Sérgio S. Rodrigues
The stabilization of nonautonomous parabolic equations is achieved by feedback inputs tuning a finite number of actuators, where it is assumed that the input is subject to a time d…
On feedback stabilisation for the Cahn-Hilliard equation and its numerical approximation
Herbert Egger, Marvin Fritz, Karl Kunisch +1
We consider the stabilisation of solutions to the Cahn-Hilliard equation towards a given trajectory by means of a finite-dimensional static output feedback mechanism. Exponential s…
Stabilization to trajectories of nonisothermal Cahn-Hilliard equations
Behzad Azmi, Marvin Fritz, Sérgio S. Rodrigues
In this work, it is proven the semiglobal exponential stabilization to time-dependent trajectories of the nonisothermal Cahn-Hilliard equations. In the model, the input controls ar…
Output-based receding horizon stabilizing control
Behzad Azmi, Sérgio S. Rodrigues
A receding horizon control framework is coupled with a Luenberger observer to construct an output-based control input stabilizing parabolic equations. The actuators and sensors are…
Stabilizability of parabolic equations by switching controls based on point actuators
Behzad Azmi, Karl Kunisch, Sérgio S. Rodrigues
It is shown that a switching control involving a finite number of Dirac delta actuators is able to steer the state of a general class of nonautonomous parabolic equations to zero a…
Tracking optimal feedback control under uncertain parameters
Philipp A. Guth, Karl Kunisch, Sergio S. Rodrigues
Optimal control problems of tracking type for a class of linear systems with uncertain parameters in the dynamics are investigated. An affine tracking feedback control input is obt…