21 citations · 50 across the 18 of their papers we have counts for
19 papers
Riccati-ZORO: An efficient algorithm for heuristic online optimization of internal feedback laws in robust and stochastic model predictive control
Florian Messerer, Yunfan Gao, Jonathan Frey +1
We present Riccati-ZORO, an algorithm for tube-based optimal control problems (OCP). Tube OCPs predict a tube of trajectories to capture predictive uncertainty. The tube induces a…
Ellipsoidal partitions for improved multi-stage robust model predictive control
Moritz Heinlein, Florian Messerer, Moritz Diehl +1
Ellipsoidal tube-based model predictive control methods effectively account for the propagation of the reachable set, typically employing linear feedback policies. In contrast, sce…
Semi-Infinite Programming for Collision-Avoidance in Optimal and Model Predictive Control
Yunfan Gao, Florian Messerer, Niels van Duijkeren +2
This paper presents a novel approach for collision avoidance in optimal and model predictive control, in which the environment is represented by a large number of points and the ro…
Optimality and Suboptimality of MPPI Control in Stochastic and Deterministic Settings
Hannes Homburger, Florian Messerer, Moritz Diehl +1
Model predictive path integral (MPPI) control has recently received a lot of attention, especially in the robotics and reinforcement learning communities. This letter aims to make…
Synthesis of Model Predictive Control and Reinforcement Learning: Survey and Classification
Rudolf Reiter, Jasper Hoffmann, Dirk Reinhardt +6
The fields of MPC and RL consider two successful control techniques for Markov decision processes. Both approaches are derived from similar fundamental principles, and both are wid…
Real-Time-Feasible Collision-Free Motion Planning For Ellipsoidal Objects
Yunfan Gao, Florian Messerer, Niels van Duijkeren +2
Online planning of collision-free trajectories is a fundamental task for robotics and self-driving car applications. This paper revisits collision avoidance between ellipsoidal obj…
Stochastic Model Predictive Control with Optimal Linear Feedback for Mobile Robots in Dynamic Environments
Yunfan Gao, Florian Messerer, Niels van Duijkeren +1
Robot navigation around humans can be a challenging problem since human movements are hard to predict. Stochastic model predictive control (MPC) can account for such uncertainties…
Fourth-order suboptimality of nominal model predictive control in the presence of uncertainty
Florian Messerer, Katrin Baumgärtner, Sergio Lucia +1
We investigate the suboptimality resulting from the application of nominal model predictive control (MPC) to a nonlinear discrete time stochastic system. The suboptimality is defin…
Fast System Level Synthesis: Robust Model Predictive Control using Riccati Recursions
Antoine P. Leeman, Johannes Köhler, Florian Messerer +3
System level synthesis enables improved robust MPC formulations by allowing for joint optimization of the nominal trajectory and controller. This paper introduces a tailored algori…
Efficient Zero-Order Robust Optimization for Real-Time Model Predictive Control with acados
Jonathan Frey, Yunfan Gao, Florian Messerer +3
Robust and stochastic optimal control problem (OCP) formulations allow a systematic treatment of uncertainty, but are typically associated with a high computational cost. The recen…
Approximate propagation of normal distributions for stochastic optimal control of nonsmooth systems
Florian Messerer, Katrin Baumgärtner, Armin Nurkanović +1
We present a method for the approximate propagation of mean and covariance of a probability distribution through ordinary differential equations (ODE) with discontinous right-hand…
Collision-free Motion Planning for Mobile Robots by Zero-order Robust Optimization-based MPC
Yunfan Gao, Florian Messerer, Jonathan Frey +2
This paper presents an implementation of robust model predictive control (MPC) for collision-free reference trajectory tracking for mobile robots. The presented approach considers…
Local Convergence Behaviour of Generalized Gauss-Newton Multiple Shooting, Single Shooting and Differential Dynamic Programming
Katrin Baumgärtner, Florian Messerer, Moritz Diehl
We revisit three classical numerical methods for solving unconstrained optimal control problems - multiple shooting, single shooting, and differential dynamic programming - and exa…
LCQPow -- A Solver for Linear Complementarity Quadratic Programs
Jonas Hall, Armin Nurkanovic, Florian Messerer +1
In this paper we introduce an open-source software package written in C++ for efficiently finding solutions to quadratic programming problems with linear complementarity constraint…
A dual-control effect preserving formulation for nonlinear output-feedback stochastic model predictive control with constraints
Florian Messerer, Katrin Baumgärtner, Moritz Diehl
We propose a formulation for approximate constrained nonlinear output-feedback stochastic model predictive control. Starting from the ideal but intractable stochastic optimal contr…
An Inverse Optimal Control Approach for Trajectory Prediction of Autonomous Race Cars
Rudolf Reiter, Florian Messerer, Markus Schratter +2
This paper proposes an optimization-based approach to predict trajectories of autonomous race cars. We assume that the observed trajectory is the result of an optimization problem…
An Implicit and Explicit Dual Model Predictive Control Formulation for a Steel Recycling Process
Andrea Ghezzi, Florian Messerer, Jacopo Balocco +2
We present a formulation for both implicit and explicit dual model predictive control for a steel recycling process. The process consists in the production of new steel by choosing…
Introducing the quadratically-constrained quadratic programming framework in HPIPM
Gianluca Frison, Jonathan Frey, Florian Messerer +2
This paper introduces the quadratically-constrained quadratic programming (QCQP) framework recently added in HPIPM alongside the original quadratic-programming (QP) framework. The…
A Sequential Convex Programming Approach to Solving Quadratic Programs and Optimal Control Problems with Linear Complementarity Constraints
Jonas Hall, Armin Nurkanovic, Florian Messerer +1
Mathematical programs with complementarity constraints are notoriously difficult to solve due to their nonconvexity and lack of constraint qualifications in every feasible point. T…