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The optimal performance of robotic systems is usually achieved near the limit of state and input bounds. Model predictive control (MPC) is a prevalent strategy to handle these operational constraints, however, safety still remains an open…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Jun Zeng , Bike Zhang , Koushil Sreenath

We consider an input-constrained differential-drive robot with actuator dynamics. For this system, we establish asymptotic stability of the origin on arbitrary compact, convex sets using Model Predictive Control (MPC) without stabilizing…

Systems and Control · Electrical Eng. & Systems 2021-06-04 Franz Rußwurm , Willem Esterhuizen , Karl Worthmann , Stefan Streif

Model predictive control (MPC) is an optimization-based control strategy with broad industrial adoption. Unfortunately, the required computation time to solve the receding-horizon MPC optimization problem can become prohibitively large for…

Systems and Control · Electrical Eng. & Systems 2024-10-24 S. A. N. Nouwens , B. de Jager , M. M. Paulides , W. P. M. H. Heemels

Model Predictive Control (MPC) is among the most widely adopted and reliable methods for robot control, relying critically on an accurate dynamics model. However, existing dynamics models used in the gradient-based MPC are limited by…

Robotics · Computer Science 2025-08-11 Jan Węgrzynowski , Piotr Kicki , Grzegorz Czechmanowski , Maciej Krupka , Krzysztof Walas

This paper presents a deep learning based model predictive control algorithm for control affine nonlinear discrete time systems with matched and bounded state dependent uncertainties of unknown structure. Since the structure of…

Optimization and Control · Mathematics 2021-09-28 Prabhat K. Mishra , Mateus V. Gasparino , Andres E. B. Velsasquez , Girish Chowdhary

We consider nonlinear model predictive control (MPC) with multiple competing cost functions. In each step of the scheme, a multiobjective optimal control problem with a nonlinear system and terminal conditions is solved. We propose an…

Optimization and Control · Mathematics 2022-07-01 Gabriele Eichfelder , Lars Grüne , Lisa Krügel , Jonas Schießl

Data-enabled predictive control (DeePC) has emerged as a powerful technique to control complex systems without the need for extensive modeling efforts. However, relying solely on offline collected data trajectories to represent the system…

Systems and Control · Electrical Eng. & Systems 2025-08-06 Sebastian Zieglmeier , Mathias Hudoba de Badyn , Narada D. Warakagoda , Thomas R. Krogstad , Paal Engelstad

In this note, a new formulation of Model Predictive Control (MPC) framework with no stability-related terminal constraint is proposed and its stability is proved under mild standard assumptions. The novelty in the formulation lies in the…

Systems and Control · Computer Science 2017-03-09 Mazen Alamir

In this paper, we investigate the problem of Model Predictive Control (MPC) of dynamic systems for high-level specifications described by Signal Temporal Logic (STL) formulae. Recent works show that MPC has the great potential in handling…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Xinyi Yu , Chuwei Wang , Dingran Yuan , Shaoyuan Li , Xiang Yin

We present Contingency Model Predictive Control (CMPC), a motion planning and control framework that optimizes performance objectives while simultaneously maintaining a contingency plan -- an alternate trajectory that avoids a potential…

Systems and Control · Electrical Eng. & Systems 2021-03-02 John P. Alsterda , J. Christian Gerdes

We propose a robust nonlinear model predictive control (MPC) scheme for trajectory-tracking control of autonomous vehicles at the limits of handling on non-planar road surfaces. We derive the dynamics from first principles and selectively…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Joscha F. Bongard , Georg Jank , Simon Sagmeister , Boris Lohmann

This article provides an overview of model predictive control (MPC) frameworks for dynamic operation of nonlinear constrained systems. Dynamic operation is often an integral part of the control objective, ranging from tracking of reference…

Systems and Control · Electrical Eng. & Systems 2024-01-10 Johannes Köhler , Matthas 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

This paper considers model predictive control of Hammerstein systems, where the linear dynamics are a priori unknown and the input nonlinearity is known. Predictive cost adaptive control (PCAC) is applied to this system using recursive…

Systems and Control · Electrical Eng. & Systems 2023-09-29 Mohammadreza Kamaldar , Dennis S. Bernstein

Model predictive control (MPC) is an effective approach to control multivariable dynamic systems with constraints. Most real dynamic models are however affected by plant-model mismatch and process uncertainties, which can lead to…

Systems and Control · Electrical Eng. & Systems 2022-11-29 Zhengang Zhong , Ehecatl Antonio del Rio-Chanona , Panagiotis Petsagkourakis

This paper develops a distributed model predictive control (DMPC) strategy for a class of discrete-time linear systems with consideration of globally coupled constraints. The DMPC under study is based on the dual problem concerning all…

Optimization and Control · Mathematics 2019-07-25 Yanxu Su , Yang Shi , Changyin Sun

Model Predictive Control (MPC) is a widely used technique for managing timevarying systems, supported by extensive theoretical analysis. While theoretical studies employing dynamic regret frameworks have established robust performance…

Systems and Control · Electrical Eng. & Systems 2025-02-20 Nhat M. Nguyen

This paper considers linear discrete-time systems with additive disturbances, and designs a Model Predictive Control (MPC) law to minimise a quadratic cost function subject to a chance constraint. The chance constraint is defined as a…

Systems and Control · Computer Science 2020-07-15 Shuhao Yan , Paul Goulart , Mark Cannon

This technical report presents a method for designing a constrained output-feedback model predictive controller (MPC) that behaves in the same way as an existing baseline stabilising linear time invariant output-feedback controller when…

Optimization and Control · Mathematics 2011-09-14 Edward N. Hartley , Jan M. Maciejowski

This paper presents a novel robust predictive controller for constrained nonlinear systems that is able to track piece-wise constant setpoint signals. The tracking model predictive controller presented in this paper extends the nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-08-21 Marco Polver , Daniel Limon , Fabio Previdi , Antonio Ferramosca