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We analyse the closed-loop performance of a model predictive control (MPC) for tracking formulation with artificial references. It has been shown that such a scheme guarantees closed-loop stability and recursive feasibility for any…

Optimization and Control · Mathematics 2024-01-25 Matthias Köhler , Lisa Krügel , Lars Grüne , Matthias A. Müller , Frank Allgöwer

We consider the problem of optimizing the economic performance of nonlinear constrained systems subject to uncertain time-varying parameters and bounded disturbances. In particular, we propose an adaptive economic model predictive control…

Systems and Control · Electrical Eng. & Systems 2026-01-16 Maximilian Degner , Raffaele Soloperto , Melanie N. Zeilinger , John Lygeros , Johannes Köhler

We present a Model Predictive Control (MPC) algorithm for energy management in aircraft with hybrid electric propulsion systems consisting of gas turbine and electric motor components. Series and parallel configurations are considered. By…

Optimization and Control · Mathematics 2022-06-13 Martin Doff-Sotta , Mark Cannon , Marko Bacic

Collaborative transportation of heavy payloads via loco-manipulation is a challenging yet essential capability for legged robots operating in complex, unstructured environments. Centralized planning methods, e.g., holistic trajectory…

Robotics · Computer Science 2026-03-10 Ziyi Zhou , Pengyuan Shu , Ruize Cao , Yuntian Zhao , Ye Zhao

We propose a data-driven tracking model predictive control (MPC) scheme to control unknown discrete-time linear time-invariant systems. The scheme uses a purely data-driven system parametrization to predict future trajectories based on…

Systems and Control · Electrical Eng. & Systems 2021-04-19 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

This paper studies the closed-loop dynamics of linear systems under approximate model predictive control (MPC). More precisely, we consider MPC implementations based on a finite number of ADMM iterations per time-step. We first show that…

Optimization and Control · Mathematics 2019-11-11 Moritz Schulze Darup , Gerrit Book

Various efforts have been devoted to developing stabilizing distributed Model Predictive Control (MPC) schemes for tracking piecewise constant references. In these schemes, terminal sets are usually computed offline and used in the MPC…

Systems and Control · Electrical Eng. & Systems 2021-10-29 Ahmed Aboudonia , Annika Eichler , Francesco Cordiano , Goran Banjac , John Lygeros

Model predictive control (MPC) has become the de facto standard action space for local planning and learning-based control in many continuous robotic control tasks, including autonomous driving. MPC solves a long-horizon cost optimization…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-02 Yuan-Yao Lou , Jonathan Spencer , Kwang Taik Kim , Mung Chiang

We present foundations for using Model Predictive Control (MPC) as a differentiable policy class for reinforcement learning in continuous state and action spaces. This provides one way of leveraging and combining the advantages of…

Machine Learning · Computer Science 2019-10-15 Brandon Amos , Ivan Dario Jimenez Rodriguez , Jacob Sacks , Byron Boots , J. Zico Kolter

Model predictive control (MPC) is a popular strategy for urban traffic management that is able to incorporate physical and user defined constraints. However, the current MPC methods rely on finite horizon predictions that are unable to…

Systems and Control · Computer Science 2016-02-03 Sadra Sadraddini , Calin Belta

This paper proposes a novel approach to design analog electronic circuits that implement Model Predictive Control (MPC) policies for dynamical systems described by affine models. Effective approaches to define a reduced-complexity Explicit…

Systems and Control · Electrical Eng. & Systems 2026-01-19 Simone Pirrera , Lorenzo Calogero , Francesco Gabriele , Diego Regruto , Alessandro Rizzo , Gianluca Setti

Standard Model Predictive Control (MPC) or trajectory optimization approaches perform only a local search to solve a complex non-convex optimization problem. As a result, they cannot capture the multi-modal characteristic of human driving.…

Robotics · Computer Science 2022-03-16 Vivek K. Adajania , Aditya Sharma , Anish Gupta , Houman Masnavi , K Madhava Krishna , Arun K. Singh

We present a novel framework, namely AADMM, for acceleration of linearized alternating direction method of multipliers (ADMM). The basic idea of AADMM is to incorporate a multi-step acceleration scheme into linearized ADMM. We demonstrate…

Optimization and Control · Mathematics 2014-02-13 Yuyuan Ouyang , Yunmei Chen , Guanghui Lan , Eduardo Pasiliao

Model predictive control (MPC) is pervasive in research and industry. However, designing the cost function and the constraints of the MPC to maximize closed-loop performance remains an open problem. To achieve optimal tuning, we propose a…

Optimization and Control · Mathematics 2024-12-02 Riccardo Zuliani , Efe C. Balta , John Lygeros

This paper proposes an Adaptive Learning Model Predictive Control strategy for uncertain constrained linear systems performing iterative tasks. The additive uncertainty is modeled as the sum of a bounded process noise and an unknown…

Systems and Control · Computer Science 2018-04-27 Monimoy Bujarbaruah , Xiaojing Zhang , Ugo Rosolia , Francesco Borrelli

This work introduces a formulation of model predictive control (MPC) which adaptively reasons about the complexity of the model based on the task while maintaining feasibility and stability guarantees. Existing MPC implementations often…

Robotics · Computer Science 2024-11-07 Joseph Norby , Ardalan Tajbakhsh , Yanhao Yang , Aaron M. Johnson

Model predictive control (MPC) is a promising technique for motion cueing in driving simulators, but its high computation time limits widespread real-time application. This paper proposes a hybrid algorithm that combines filter-based and…

Robotics · Computer Science 2023-09-06 Vishrut Jain , Andrea Lazcano , Riender Happee , Barys Shyrokau

In this paper, we aim to provide a comprehensive analysis on the linear rate convergence of the alternating direction method of multipliers (ADMM) for solving linearly constrained convex composite optimization problems. Under a certain…

Optimization and Control · Mathematics 2015-08-11 Deren Han , Defeng Sun , Liwei Zhang

The D-Wave quantum annealer has emerged as a novel computational architecture that is attracting significant interest, but there have been only a few practical algorithms exploiting the power of quantum annealers. Here we present a model…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 Daisuke Inoue , Hiroaki Yoshida

In this paper, we consider solving multiple-block separable convex minimization problems using alternating direction method of multipliers (ADMM). Motivated by the fact that the existing convergence theory for ADMM is mostly limited to the…

Optimization and Control · Mathematics 2013-08-27 Xiangfeng Wang , Mingyi Hong , Shiqian Ma , Zhi-Quan Luo
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