From the 1 of 7 linked papers with an AI index.
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Sum-of-Squares Stability Verification on Manifolds with Applications in Spacecraft Attitude Control
Fabian Geyer, Friedrich Tuttas, Walter Fichter +2
In the context of spacecraft attitude control, parametrizations such as direction vectors or quaternions are often used to avoid singularities in the attitude representation. This,…
On the Practical Implementation of a Sequential Quadratic Programming Algorithm for Nonconvex Sum-of-squares Problems
Jan Olucak, Torbjørn Cunis
Sum-of-squares (SOS) optimization provides a computationally tractable framework for certifying polynomial nonnegativity. If the considered problem is convex, the SOS problem can b…
Novel Multi-objective Switched Model Predictive Control with Feasibility and Stability Guarantees
Elias Niepötter, Adrian Grimm, Torbjørn Cunis
As the relevance of control systems capable of dealing with multiple objectives rises (e.g. being economic while maintaining a certain performance), multi-objective Switched Model…
Safe-by-Design: Approximate Nonlinear Model Predictive Control with Real Time Feasibility
Jan Olucak, Arthur Castello B. de Oliveira, Torbjørn Cunis
This paper establishes relationships between continuous-time, receding horizon, nonlinear model predictive control (MPC) and control Lyapunov and control barrier functions (CLF/CBF…
CaΣoS: A nonlinear sum-of-squares optimization suite
Torbjørn Cunis, Jan Olucak
We present CaoS, the first MATLAB software specifically designed for nonlinear sum-of-squares optimization. A symbolic polynomial algebra system allows to formulate parametrize…