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This paper studies optimal control problems of unknown linear systems subject to stochastic disturbances of uncertain distribution. Uncertainty about the stochastic disturbances is usually described via ambiguity sets of probability…

Systems and Control · Electrical Eng. & Systems 2023-06-30 Guanru Pan , Timm Faulwasser

The optimization of process economics within the model predictive control (MPC) formulation has given rise to a new control paradigm known as economic MPC (EMPC). Several authors have discussed the closed-loop properties of EMPC-controlled…

Optimization and Control · Mathematics 2016-11-01 Pantelis Sopasakis , Domagoj Herceg , Panagiotis Patrinos , Alberto Bemporad

Many popular approaches in the field of robust model predictive control (MPC) are based on nominal predictions. This paper presents a novel formulation of this class of controller with proven input-to-state stability and robust constraint…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Ignacio Alvarado , Pablo Krupa , Daniel Limon , Teodoro Alamo

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

A supervised learning framework is proposed to approximate a model predictive controller (MPC) with reduced computational complexity and guarantees on stability and constraint satisfaction. The framework can be used for a wide class of…

Systems and Control · Computer Science 2018-06-13 Michael Hertneck , Johannes Köhler , Sebastian Trimpe , Frank Allgöwer

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

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

In this paper, we study homothetic tube model predictive control (MPC) of discrete-time linear systems subject to bounded additive disturbance and mixed constraints on the state and input. Different from most existing work on robust MPC, we…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Yulong Gao , Shuhao Yan , Jian Zhou , Mark Cannon

Model predictive control (MPC) is a powerful strategy for planning and control in autonomous mobile robot navigation. However, ensuring safety in real-world deployments remains challenging due to the presence of disturbances and measurement…

Robotics · Computer Science 2025-08-12 Dennis Benders , Johannes Köhler , Robert Babuška , Javier Alonso-Mora , Laura Ferranti

Most real-world systems are affected by external disturbances, which may be impossible or costly to measure. For instance, when autonomous robots move in dusty environments, the perception of their sensors is disturbed. Moreover, uneven…

Optimization and Control · Mathematics 2023-11-01 Filip Surma , Anahita Jamshidnejad

We propose a computationally efficient nonlinear Model Predictive Control (NMPC) algorithm for safe, learning-based control. The system model is represented as an affine combination of basis functions with unknown parameters, and is subject…

Optimization and Control · Mathematics 2026-03-06 Johannes Buerger , Mark Cannon

We provide a comprehensive review and practical implementation of a recently developed model predictive control (MPC) framework for controlling unknown systems using only measured data and no explicit model knowledge. Our approach relies on…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

A hierarchical Model Predictive Control (MPC) formulation is presented for coupled discrete-time linear systems with state and input constraints. Compared to a centralized approach, a two-level hierarchical controller, with one controller…

Systems and Control · Electrical Eng. & Systems 2022-02-24 Vignesh Raghuraman , Justin P. Koeln

We study infinite-horizon robust Markov decision processes (MDPs) on continuous state spaces with structured rectangular ambiguity set. The proposed ambiguity set falls within the convex hull of unknown generating kernels. We utilize the…

Optimization and Control · Mathematics 2026-05-28 Mengmeng Li , Yifan Hu , Daniel Kuhn , Yan Li

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

While distributed algorithms provide advantages for the control of complex large-scale systems by requiring a lower local computational load and less local memory, it is a challenging task to design high-performance distributed control…

Systems and Control · Electrical Eng. & Systems 2021-10-01 Simon Muntwiler , Kim P. Wabersich , Andrea Carron , Melanie N. Zeilinger

We present a framework to design nonlinear robust output feedback model predictive control (MPC) schemes that ensure constraint satisfaction under noisy output measurements and disturbances. We provide novel estimation methods to bound the…

Systems and Control · Electrical Eng. & Systems 2021-05-10 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

A computationally efficient nonlinear Model Predictive Control (NMPC) algorithm is proposed for safe learning-based control with a system model represented by an incompletely known affine combination of basis functions and subject to…

Optimization and Control · Mathematics 2025-03-19 Johannes Buerger , Mark Cannon

We propose a robust data-driven model predictive control (MPC) scheme to control linear time-invariant (LTI) systems. The scheme uses an implicit model description based on behavioral systems theory and past measured trajectories. In…

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

Periodic operation often emerges as the economically optimal mode in industrial processes, particularly under varying economic or environmental conditions. This paper proposes a robust model predictive control (MPC) framework for uncertain…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Filippo Badalamenti , Jose A. Borja-Conde , Sampath Kumar Mulagaleti , Boris Houska , Alberto Bemporad , Mario Eduardo Villanueva