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Model predictive control (MPC) has proven useful in enabling safe and optimal motion planning for autonomous vehicles. In this paper, we investigate how to achieve MPC-based motion planning when a neural state-space model represents the…

Robotics · Computer Science 2025-11-18 Iman Askari , Ali Vaziri , Xuemin Tu , Shen Zeng , Huazhen Fang

Feedback control synthesis for large-scale particle systems is reviewed in the framework of model predictive control (MPC). The high-dimensional character of collective dynamics hampers the performance of traditional MPC algorithms based on…

Optimization and Control · Mathematics 2024-02-27 Giacomo Albi , Sara Bicego , Michael Herty , Yuyang Huang , Dante Kalise , Chiara Segala

Model predictive control (MPC) for uncertain systems in the presence of hard constraints on state and input is a non-trivial problem, and the challenge is increased manyfold in the absence of state measurements. In this paper, we propose an…

Systems and Control · Electrical Eng. & Systems 2023-01-11 Anchita Dey , Abhishek Dhar , Shubhendu Bhasin

In real-world problems, uncertainties (e.g., errors in the measurement, precision errors) often lead to poor performance of numerical algorithms when not explicitly taken into account. This is also the case for control problems, where…

Optimization and Control · Mathematics 2020-12-18 Carlos Ignacio Hernández Castellanos , Sina Ober-Blöbaum , Sebastian Peitz

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

We propose a stochastic model predictive control (MPC) framework for linear systems subject to joint-in-time chance constraints under unknown disturbance distributions. Unlike existing approaches that rely on parametric or Gaussian…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Lukas Vogel , Andrea Carron , Eleftherios E. Vlahakis , Dimos V. Dimarogonas

This paper addresses the problem of robust and optimal control for the class of nonlinear quadratic systems subject to norm-bounded parametric uncertainties and disturbances, and in presence of some amplitude constraints on the control…

Systems and Control · Computer Science 2017-01-12 Merola Alessio , Cosentino Carlo , Colacino Domenico , Amato Francesco

Model predictive control (MPC) is an optimal control method that predicts the future states of the system being controlled and estimates the optimal control inputs that drive the predicted states to the required reference. The computations…

Systems and Control · Electrical Eng. & Systems 2023-05-05 Eslam Mostafa , Hussein A. Aly , Ahmed Elliethy

An output feedback model predictive control (MPC) framework with adaptive tubes is proposed for linear time-invariant systems subject to parametric and additive uncertainties. An adaptive observer provides point estimates of the system…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Anchita Dey , Shubhendu Bhasin

In this paper, we propose a suboptimal and reduced-order Model Predictive Control (MPC) architecture for discrete-time feedback-interconnected systems. The numerical MPC solver: (i) acts suboptimally, performing only a finite number of…

Optimization and Control · Mathematics 2026-04-03 Stefano Di Gregorio , Guido Carnevale , Giuseppe Notarstefano

Model predictive control (MPC) is an optimal control strategy where control input calculation is based on minimizing the predicted tracking error over a finite horizon that moves with time. This strategy has an advantage over conventional…

Systems and Control · Electrical Eng. & Systems 2021-12-28 Joseph Chai , Eran Medagoda , Erkan Kayacan

We present a novel data-driven model predictive control (MPC) approach to control unknown nonlinear systems using only measured input-output data with closed-loop stability guarantees. Our scheme relies on the data-driven system…

Optimization and Control · Mathematics 2022-09-20 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Traditional stochastic optimal control methods that attempt to obtain an optimal feedback policy for nonlinear systems are computationally intractable. In this paper, we derive a decoupling principle between the open loop plan, and the…

Systems and Control · Computer Science 2019-02-28 Karthikeya S Parunandi , Suman Chakravorty

This paper presents a new approach to solve linear and nonlinear model predictive control (MPC) problems that requires small memory footprint and throughput and is particularly suitable when the model and/or controller parameters change at…

Optimization and Control · Mathematics 2021-03-25 Nilay Saraf , Alberto Bemporad

The stable combination of optimal feedback policies with online learning is studied in a new control-theoretic framework for uncertain nonlinear systems. The framework can be systematically used in transfer learning and sim-to-real…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Brett T. Lopez , Jean-Jacques E. Slotine

In this paper, we present a novel solution for real-time, Non-Linear Model Predictive Control (NMPC) exploiting a time-mesh refinement strategy. The proposed controller formulates the Optimal Control Problem (OCP) in terms of flat outputs…

Robotics · Computer Science 2018-06-15 Ciro Potena , Bartolomeo Della Corte , Daniele Nardi , Giorgio Grisetti , Alberto Pretto

The paper considers constrained linear systems with stochastic additive disturbances and noisy measurements transmitted over a lossy communication channel. We propose a model predictive control (MPC) law that minimizes a discounted cost…

Optimization and Control · Mathematics 2020-05-08 Shuhao Yan , Mark Cannon , Paul Goulart

This paper introduces a novel method for robust output-feedback model predictive control (MPC) for a class of nonlinear discrete-time systems. We propose a novel interval-valued predictor which, given an initial estimate of the state,…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Scott Brown , Mohammad Khajenejad , Aamodh Suresh , Sonia Martinez

The recent advancement in vehicular networking technology provides novel solutions for designing intelligent and sustainable vehicle motion controllers. This work addresses a car-following task, where the feedback linearisation method is…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Sheng Yu , Xiao Pan , Anastasis Georgiou , Boli Chen , Imad M. Jaimoukha , Simos A. Evangelou

We study unconstrained and constrained linear quadratic problems and investigate the suboptimality of the model predictive control (MPC) method applied to such problems. Considering MPC as an approximate scheme for solving the related fixed…

Optimization and Control · Mathematics 2023-06-06 Yuchao Li , Aren Karapetyan , John Lygeros , Karl H. Johansson , Jonas Mårtensson