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This paper studies the optimal control problem for discrete-time nonlinear systems and an approximate dynamic programming-based Model Predictive Control (MPC) scheme is proposed for minimizing a quadratic performance measure. In the…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Keerthi Chacko , Midhun T. Augustine , S. Janardhanan , Deepak U. Patil , I. N. Kar

Model Predictive Control (MPC) is a powerful framework for optimal control but can be too slow for low-latency applications. We present a data-driven framework to accelerate MPC by replacing online optimization with a nonparametric policy…

Systems and Control · Electrical Eng. & Systems 2026-05-20 Agustin Castellano , Shijie Pan , Enrique Mallada

In this paper, we present a robust distributed model predictive control (DMPC) scheme for dynamically decoupled nonlinear systems which are subject to state constraints, coupled state constraints and input constraints. In the proposed…

Systems and Control · Electrical Eng. & Systems 2024-10-07 Adrian Wiltz , Fei Chen , Dimos V. Dimarogonas

Probabilistic Circuits (PCs) have emerged as an efficient framework for representing and learning complex probability distributions. Nevertheless, the existing body of research on PCs predominantly concentrates on data-driven parameter…

Machine Learning · Computer Science 2024-12-20 Athresh Karanam , Saurabh Mathur , Sahil Sidheekh , Sriraam Natarajan

In this paper, we explore the interplay between Predictive Control and closed-loop optimality, spanning from Model Predictive Control to Data-Driven Predictive Control. Predictive Control in general relies on some form of prediction scheme…

Optimization and Control · Mathematics 2024-05-29 Akhil S Anand , Shambhuraj Sawant , Dirk Reinhardt , Sebastien Gros

In this paper, we study a data-enabled predictive control (DeePC) algorithm applied to unknown stochastic linear time-invariant systems. The algorithm uses noise-corrupted input/output data to predict future trajectories and compute optimal…

Optimization and Control · Mathematics 2019-11-04 Jeremy Coulson , John Lygeros , Florian Dörfler

We introduce a general framework for robust data-enabled predictive control (DeePC) for linear time-invariant (LTI) systems. The proposed framework enables us to obtain model-free optimal control for LTI systems based on noisy input/output…

Systems and Control · Electrical Eng. & Systems 2021-05-18 Linbin Huang , Jianzhe Zhen , John Lygeros , Florian Dörfler

The development of control methods based on data has seen a surge of interest in recent years. When applying data-driven controllers in real-world applications, providing theoretical guarantees for the closed-loop system is of crucial…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Julian Berberich , Frank Allgöwer

Predictive control can either be data-based (e.g. data-enabled predictive control, or DeePC) or model-based (model predictive control). In this paper we aim to bridge the gap between the two by investigating the case where only a partial…

Optimization and Control · Mathematics 2025-09-10 Jeremy D. Watson

In the field of model predictive control, Data-enabled Predictive Control (DeePC) offers direct predictive control, bypassing traditional modeling. However, challenges emerge with increased computational demand due to recursive data…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Jicheng Shi , Yingzhao Lian , Colin N. Jones

Model predictive control (MPC) for linear systems with quadratic costs and linear constraints is shown to admit an exact representation as an implicit neural network. A method to "unravel" the implicit neural network of MPC into an explicit…

Systems and Control · Electrical Eng. & Systems 2024-04-19 Ross Drummond , Pablo R Baldivieso-Monasterios , Giorgio Valmorbida

A key motivation in the development of Distributed Model Predictive Control (DMPC) is to accelerate centralized Model Predictive Control (MPC) for large-scale systems. DMPC has the prospect of scaling well by parallelizing computations…

Optimization and Control · Mathematics 2025-04-16 Gösta Stomberg , Maurice Raetsch , Alexander Engelmann , Timm Faulwasser

This paper proposes a novel tube-based Model Predictive Control (MPC) framework for tracking varying setpoint references with linear systems subject to additive and multiplicative uncertainties. The MPC controllers designed using this…

Systems and Control · Electrical Eng. & Systems 2024-06-10 Filippo Badalamenti , Sampath Kumar Mulagaleti , Alberto Bemporad , Boris Houska , Mario Eduardo Villanueva

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

We define trajectory predictive control (TPC) as a family of output-feedback indirect data-driven predictive control (DDPC) methods that represent the output trajectory of a discrete-time system as a linear function of the recent…

Systems and Control · Electrical Eng. & Systems 2026-02-12 Levi D. Reyes Premer , Arash J. Khabbazi , Kevin J. Kircher

We present differentiable predictive control (DPC) as a deep learning-based alternative to the explicit model predictive control (MPC) for unknown nonlinear systems. In the DPC framework, a neural state-space model is learned from…

Systems and Control · Electrical Eng. & Systems 2021-07-27 Jan Drgona , Karol Kis , Aaron Tuor , Draguna Vrabie , Martin Klauco

In this paper, we introduce a new class of parameterized controllers, drawing inspiration from Model Predictive Control (MPC). The controller resembles a Quadratic Programming (QP) solver of a linear MPC problem, with the parameters of the…

Systems and Control · Electrical Eng. & Systems 2024-04-10 Yiwen Lu , Zishuo Li , Yihan Zhou , Na Li , Yilin Mo

In this paper we present a framework for risk-sensitive model predictive control (MPC) of linear systems affected by stochastic multiplicative uncertainty. Our key innovation is to consider a time-consistent, dynamic risk evaluation of the…

Optimization and Control · Mathematics 2018-04-26 Sumeet Singh , Yin-Lam Chow , Anirudha Majumdar , Marco Pavone

In this paper, we consider a distributed model predictive control (MPC) algorithm for coordinated path-following. Relying on the time-critical cooperative path-following framework, which decouples space and time and reduces the coordination…

Dynamical Systems · Mathematics 2026-03-27 Lusine Poghosyan , Anna Manucharyan , Mikayel Aramyan , Naira Hovakimyan , Tigran Bakaryan

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