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Model predictive control (MPC) is a powerful framework for optimal control of dynamical systems. However, MPC solvers suffer from a high computational burden that restricts their application to systems with low sampling frequency. This…

Optimization and Control · Mathematics 2025-03-12 Casian Iacob , Hany Abdulsamad , Simo Särkkä

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

This paper presents a robust and kernelized data-enabled predictive control (RoKDeePC) algorithm to perform model-free optimal control for nonlinear systems using only input and output data. The algorithm combines robust predictive control…

Systems and Control · Electrical Eng. & Systems 2022-06-07 Linbin Huang , John Lygeros , Florian Dörfler

Robotic systems must be able to quickly and robustly make decisions when operating in uncertain and dynamic environments. While Reinforcement Learning (RL) can be used to compute optimal policies with little prior knowledge about the…

Robotics · Computer Science 2016-09-13 Yunpeng Pan , Xinyan Yan , Evangelos Theodorou , Byron Boots

This paper presents an efficient suboptimal model predictive control (MPC) algorithm for nonlinear switched systems subject to minimum dwell time constraints (MTC). While MTC are required for most physical systems due to stability, power…

Optimization and Control · Mathematics 2022-02-16 Yutao Chen , Mircea Lazar

It is a well known fact that finite time optimal controllers, such as MPC does not necessarily result in closed loop stable systems. Within the MPC community it is common practice to add a final state constraint and/or a final state penalty…

Optimization and Control · Mathematics 2016-04-05 Daniel Simon , Johan Löfberg

Recent strides in nonlinear model predictive control (NMPC) underscore a dependence on numerical advancements to efficiently and accurately solve large-scale problems. Given the substantial number of variables characterizing typical…

Robotics · Computer Science 2024-06-04 Wilson Jallet , Ewen Dantec , Etienne Arlaud , Justin Carpentier , Nicolas Mansard

Predictor feedback designs are critical for delay-compensating controllers in nonlinear systems. However, these designs are limited in practical applications as predictors cannot be directly implemented, but require numerical approximation…

Systems and Control · Electrical Eng. & Systems 2025-06-03 Luke Bhan , Peijia Qin , Miroslav Krstic , Yuanyuan Shi

As the trend of moving away from high-precision maps gradually emerges in the autonomous driving industry,traditional planning algorithms are gradually exposing some problems. To address the high real-time, high precision, and high…

Artificial Intelligence · Computer Science 2024-06-25 Yuxuan Zhao

We show that Funnel MPC, a novel Model Predictive Control (MPC) scheme, allows tracking of smooth reference signals with prescribed performance for nonlinear multi-input multi-output systems of relative degree one with stable internal…

Optimization and Control · Mathematics 2022-03-18 Thomas Berger , Dario Dennstädt , Achim Ilchmann , Karl Worthmann

Model Predictive Control (MPC) is a well-established approach to solve infinite horizon optimal control problems. Since optimization over an infinite time horizon is generally infeasible, MPC determines a suboptimal feedback control by…

Optimization and Control · Mathematics 2022-10-26 Saskia Dietze , Martin A. Grepl

This paper discusses a novel probabilistic approach for the design of robust model predictive control (MPC) laws for discrete-time linear systems affected by parametric uncertainty and additive disturbances. The proposed technique is based…

Systems and Control · Computer Science 2013-07-16 Giuseppe C. Calafiore , Lorenzo Fagiano

Model predictive control (MPC) is a de facto standard control algorithm across the process industries. There remain, however, applications where MPC is impractical because an optimization problem is solved at each time step. We present a…

Optimization and Control · Mathematics 2019-07-10 Robert J. Lovelett , Felix Dietrich , Seungjoon Lee , Ioannis G. Kevrekidis

A critical engineering challenge in quantum technology is the accurate control of quantum dynamics. Model-based methods for optimal control have been shown to be highly effective when theory and experiment closely match. Consequently,…

Quantum Physics · Physics 2022-10-19 Andy J. Goldschmidt , Jonathan L. DuBois , Steven L. Brunton , J. Nathan Kutz

We develop a novel form of differentiable predictive control (DPC) with safety and robustness guarantees based on control barrier functions. DPC is an unsupervised learning-based method for obtaining approximate solutions to explicit model…

Systems and Control · Electrical Eng. & Systems 2022-08-05 Wenceslao Shaw Cortez , Jan Drgona , Aaron Tuor , Mahantesh Halappanavar , Draguna Vrabie

This paper addresses the trajectory-tracking problem for discrete-time linear time-invariant systems with bounded parametric uncertainty, subject to hard constraints on system states, control inputs, and input rates. Unlike existing…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Bishal Dey , Abhishek Dhar , Sumit kr. Pandey , Anindita Sengupta

We present a new algorithm for model predictive control of non-linear systems with respect to multiple, conflicting objectives. The idea is to provide a possibility to change the objective in real-time, e.g.~as a reaction to changes in the…

Optimization and Control · Mathematics 2018-08-02 Sebastian Peitz , Kai Schäfer , Sina Ober-Blöbaum , Julian Eckstein , Ulrich Köhler , Michael Dellnitz

Computing the receding horizon optimal control of nonlinear hybrid systems is typically prohibitively slow, limiting real-time implementation. To address this challenge, we propose a layered Model Predictive Control (MPC) architecture for…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Zachary Olkin , Aaron D. Ames

Matrix approximations are a key element in large-scale algebraic machine learning approaches. The recently proposed method MEKA (Si et al., 2014) effectively employs two common assumptions in Hilbert spaces: the low-rank property of an…

Machine Learning · Computer Science 2022-01-21 Simon Heilig , Maximilian Münch , Frank-Michael Schleif

This paper presents an uncertainty compensation-based robust adaptive model predictive control (MPC) framework for linear systems with both matched and unmatched nonlinear uncertainties subject to both state and input constraints. In…

Systems and Control · Electrical Eng. & Systems 2024-09-27 Ran Tao , Pan Zhao , Ilya Kolmanovsky , Naira Hovakimyan