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A finite horizon optimal tracking problem is considered for linear dynamical systems subject to parametric uncertainties in the state-space matrices and exogenous disturbances. A suboptimal solution is proposed using a model predictive…

Optimization and Control · Mathematics 2022-02-08 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

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

Harmonic model predictive control (HMPC) is a model predictive control (MPC) formulation which displays several benefits over other MPC formulations, especially when using a small prediction horizon. These benefits, however, come at the…

Optimization and Control · Mathematics 2022-11-16 Pablo Krupa , Daniel Limon , Alberto Bemporad , Teodoro Alamo

We study closed-loop stability and suboptimality for MPC and infinite-horizon optimal control solved using a surrogate model that differs from the real plant. We employ a unified framework based on quadratic costs to analyze both finite-…

Optimization and Control · Mathematics 2026-04-10 Robert H. Moldenhauer , Karl Worthmann , Romain Postoyan , Dragan Nešić , Mathieu Granzotto

In this paper we present a framework for risk-averse model predictive control (MPC) of linear systems affected by multiplicative uncertainty. Our key innovation is to consider time-consistent, dynamic risk metrics as objective functions to…

Optimization and Control · Mathematics 2015-11-24 Yin-Lam Chow , Marco Pavone

Positive systems describing networks with inherently non-negative states and inputs arise naturally in routing, logistics, and compartmental modelling. We consider problems modelled as positive linear systems in incidence form with linear…

Optimization and Control · Mathematics 2026-05-28 Roland Schurig , David Ohlin , Anders Rantzer , Emma Tegling , Rolf Findeisen

We investigate model predictive control (MPC) formulations for linear systems subject to i.i.d. stochastic disturbances with bounded support and chance constraints. Existing stochastic MPC formulations with closed-loop guarantees can be…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Johannes Köhler , Ferdinand Geuss , Melanie N. Zeilinger

This paper considers a risk-constrained infinite-horizon optimal control problem and proposes to solve it in an iterative manner. Each iteration of the algorithm generates a trajectory from the starting point to the target equilibrium state…

Optimization and Control · Mathematics 2021-11-29 Alireza Zolanvari , Ashish Cherukuri

This paper proposes a new sampling-based nonlinear model predictive control (MPC) algorithm, with a bound on complexity quadratic in the prediction horizon N and linear in the number of samples. The idea of the proposed algorithm is to use…

Systems and Control · Computer Science 2017-01-13 R. V. Bobiti , M. Lazar

By optimizing the predicted performance over a receding horizon, model predictive control (MPC) provides the ability to enforce state and control constraints. The present paper considers an extension of MPC for nonlinear systems that can be…

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

This work investigates the challenge of ensuring safety guarantees in the presence of uncontrollable agents, whose behaviors are stochastic and depend on both their own and the system's states. We present a neural model predictive control…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Shuqi Wang , Mingyang Feng , Yu Chen , Yue Gao , Xiang Yin

We study finite-horizon budget allocation as a closed-loop economic control problem and evaluate receding-horizon Model Predictive Control (MPC) relative to reactive budgeting policies. Budgets are allocated periodically under execution…

Systems and Control · Electrical Eng. & Systems 2026-05-01 Nilavra Pathak , Smriti Shyamal , Prasant Mhasker , Christopher Swartz

In this paper, we focus on the problem of shrinking-horizon Model Predictive Control (MPC) in uncertain dynamic environments. We consider controlling a deterministic autonomous system that interacts with uncontrollable stochastic agents…

Systems and Control · Electrical Eng. & Systems 2024-05-20 Charis Stamouli , Lars Lindemann , George J. Pappas

We propose model predictive funnel control, a novel model predictive control (MPC) scheme building upon recent results in funnel control. The latter is a high-gain feedback methodology that achieves evolution of the measured output within…

Optimization and Control · Mathematics 2025-05-27 Jens Göbel , Dario Dennstädt , Lukas Lanza , Karl Worthmann , Thomas Berger , Tobias Damm

In this paper we present a Learning Model Predictive Control (LMPC) strategy for linear and nonlinear time optimal control problems. Our work builds on existing LMPC methodologies and it guarantees finite time convergence properties for the…

Systems and Control · Electrical Eng. & Systems 2020-10-06 Ugo Rosolia , Francesco Borrelli

This letter presents a new predictive control architecture for high-dimensional robotic systems. As opposed to a conventional Model Predictive Control (MPC) approach to locomotion that formulates a hierarchical sequence of optimization…

Robotics · Computer Science 2021-05-13 He Li , Robert J. Frei , Patrick M. Wensing

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

Model mismatch often poses challenges in model-based controller design. This paper investigates model predictive control (MPC) of uncertain linear systems with input constraints, focusing on stability and closed-loop infinite-horizon…

Optimization and Control · Mathematics 2025-03-06 Changrui Liu , Shengling Shi , Bart De Schutter

This paper proposes a stabilising model predictive control (MPC) scheme with preview information of disturbance for nonlinear systems. The proposed MPC algorithm is able to not only reject disturbance by making use of disturbance preview…

Systems and Control · Electrical Eng. & Systems 2022-02-28 Xing Fang , Wen-Hua Chen

Model Predictive Control (MPC) has established itself as the primary methodology for constrained control, enabling autonomy across diverse applications. While model fidelity is crucial in MPC, solving the corresponding optimization problem…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Lukas Schroth , Daniel Morton , Amon Lahr , Daniele Gammelli , Andrea Carron , Marco Pavone