1 citations · 1 across the 16 of their papers we have counts for
17 papers
Policy iteration for Hamilton-Jacobi-Isaacs equations with control constraints and comparison with Hamilton-Jacobi-Bellman equations
Sudeep Kundu, Karl Kunisch
Convergence of the bilevel policy iteration algorithm for the value function, satisfying the Hamilton-Jacobi-Isaacs (HJI) equation, is analyzed in the presence of control constrain…
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…
Structure Preserving Approximation of Semiconcave Functions
Karl Kunisch, Donato Vásquez-Varas
This article addresses structure-preserving smooth approximation of semiconcave functions. semiconcave functions are of particular interest because they naturally arise in a variet…
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…
Risk averse deterministic Kalman filters for uncertain dynamical systems
Karl Kunisch, Jesper Schröder
Taking a deterministic viewpoint this work investigates extensions of the Kalman-Bucy filter for state reconstruction to systems containing parametric uncertainty in the state oper…
Approximation of risk-averse optimal feedback control
Philipp A. Guth, Karl Kunisch
The challenge of constructing feedback control laws for risk-averse optimal control of partial differential equations (PDEs) with random coefficients is addressed. The control obje…
Deterministic Kalman filters for uncertain dynamical systems
Karl Kunisch, Jesper Schröder
The Kalman(-Bucy) filter is the natural choice for the state reconstruction of disturbed, linear dynamical systems based on flawed and incomplete measurements. Taking a determinist…
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…
Low-regret shape optimization in the presence of missing Dirichlet data
Karl Kunisch, John Sebastian H. Simon
A shape optimization problem subject to an elliptic equation in the presence of missing data on the Dirichlet boundary condition is considered. It is formulated by optimizing the d…
Quasi-Monte Carlo integration for feedback control under uncertainty
Philipp A. Guth, Peter Kritzer, Karl Kunisch
A control in feedback form is derived for linear quadratic, time-invariant optimal control problems subject to parabolic partial differential equations with coefficients depending…
Convergence of machine learning methods for feedback control laws: averaged feedback learning scheme and data driven methods
Karl Kunisch, Donato Vásquez-Varas
This work addresses the synthesis of optimal feedback control laws via machine learning. In particular, the Averaged Feedback Learning Scheme (AFLS) and a data driven method are co…
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…
Second order analysis for the optimal selection of time delays
Karl Kunisch, Fredi Troeltzsch
For a nonlinear ordinary differential equation with time delay, the differentiation of the solution with respect to the delay is investigated. Special emphasis is laid on the secon…
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…
Smooth approximation of feedback laws for infinite horizon control problems with non-smooth value functions
Karl Kunisch, Donato Vásquez-Varas
In this work the synthesis of approximate optimal and smooth feedback laws for infinite horizon optimal control problems is addressed. In this regards, type error bounds of…
Numerical realization of the Mortensen observer via a Hessian-augmented polynomial approximation of the value function
Tobias Breiten, Karl Kunisch, Jesper Schröder
Two related numerical schemes for the realization of the Mortensen observer or minimum energy estimator for the state reconstruction of non-linear dynamical systems subject to dete…
Optimal feedback control of dynamical systems via value-function approximation
Karl Kunisch, Daniel Walter
A self-learning approach for optimal feedback gains for finite-horizon nonlinear continuous time control systems is proposed and analysed. It relies on parameter dependent approxim…