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We propose a data-driven tracking model predictive control (MPC) scheme to control unknown discrete-time linear time-invariant systems. The scheme uses a purely data-driven system parametrization to predict future trajectories based on…

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

In this note, we consider infinite horizon optimal control problems with deterministic systems. Since exact solutions to these problems are often intractable, we propose a parallel model predictive control (MPC) method that provides an…

Optimization and Control · Mathematics 2025-04-29 Yuchao Li , Aren Karapetyan , Niklas Schmid , John Lygeros , Karl H. Johansson , Jonas Mårtensson

A conventional way to handle model predictive control (MPC) problems distributedly is to solve them via dual decomposition and gradient ascent. However, at each time-step, it might not be feasible to wait for the dual algorithm to converge.…

Optimization and Control · Mathematics 2015-03-13 Farhad Farokhi , Iman Shames , Karl H. Johansson

In many state-of-the-art control approaches for power systems with storage units, an explicit model of the storage dynamics is required. With growing numbers of storage units, identifying these dynamics can be cumbersome. This paper employs…

Systems and Control · Electrical Eng. & Systems 2024-07-09 Johannes B. Lipka , Christian A. Hans

Mixed-integer programming (MIP) technology offers a generic way of formulating and solving combinatorial optimization problems. While generally reliable, state-of-the-art MIP solvers base many crucial decisions on hand-crafted heuristics,…

Machine Learning · Computer Science 2022-05-31 Elias B. Khalil , Christopher Morris , Andrea Lodi

Model-based policy optimization often struggles with inaccurate system dynamics models, leading to suboptimal closed-loop performance. This challenge is especially evident in Model Predictive Control (MPC) policies, which rely on the model…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Riccardo Zuliani , Efe C. Balta , John Lygeros

Model predictive control (MPC) anticipates future events to take appropriate control actions. Nonlinear MPC (NMPC) describes systems with nonlinear models and/or constraints. A Continuation/GMRES Method for NMPC, suggested by T. Ohtsuka in…

Optimization and Control · Mathematics 2015-09-10 Andrew Knyazev , Yuta Fujii , Alexander Malyshev

Gradient Symbolic Computation is proposed as a means of solving discrete global optimization problems using a neurally plausible continuous stochastic dynamical system. Gradient symbolic dynamics involves two free parameters that must be…

Computation and Language · Computer Science 2018-01-12 Paul Tupper , Paul Smolensky , Pyeong Whan Cho

In this work, we consider the problem of deriving and incorporating accurate dynamic models for model predictive control (MPC) with an application to quadrotor control. MPC relies on precise dynamic models to achieve the desired closed-loop…

Robotics · Computer Science 2022-01-12 Kong Yao Chee , Tom Z. Jiahao , M. Ani Hsieh

One of the major limitations of optimization-based strategies for allocating the power flow in hybrid powertrains is that they rely on predictions of future power demand. These predictions are inherently uncertain as they are dependent on…

Optimization and Control · Mathematics 2022-04-14 Sebastian East , Mark Cannon

In this paper, we present a robust adaptive model predictive control (MPC) scheme for linear systems subject to parametric uncertainty and additive disturbances. The proposed approach provides a computationally efficient formulation with…

Systems and Control · Electrical Eng. & Systems 2020-03-12 Johannes Köhler , Elisa Andina , Raffaele Soloperto , Matthias A. Müller , Frank Allgöwer

We establish sufficient conditions for the terminal cost and constraint such that economic model predictive control (MPC) is robustly recursively feasible and economically robust to small disturbances without any assumptions of…

Optimization and Control · Mathematics 2024-08-29 Robert D. McAllister

We propose a computationally tractable, tube-based robust nonlinear model predictive control (MPC) framework using difference-of-convex (DC) functions and sequential convex programming. For systems with differentiable discrete time…

Optimization and Control · Mathematics 2026-02-03 Martin Doff-Sotta , Zaheen A-Rahman , Mark Cannon

Control co-design (CCD) is a technique for improving the closed-loop performance of systems through the coordinated design of both plant parameters and an optimal control policy. While model predictive control (MPC) is an attractive control…

Systems and Control · Electrical Eng. & Systems 2023-04-18 Austin L. Nash , Herschel C. Pangborn , Neera Jain

This article provides an overview of model predictive control (MPC) frameworks for dynamic operation of nonlinear constrained systems. Dynamic operation is often an integral part of the control objective, ranging from tracking of reference…

Systems and Control · Electrical Eng. & Systems 2024-01-10 Johannes Köhler , Matthas A. Müller , Frank Allgöwer

Model predictive control (MPC) has been applied to many platforms in robotics and autonomous systems for its capability to predict a system's future behavior while incorporating constraints that a system may have. To enhance the performance…

Robotics · Computer Science 2024-07-08 Ran Tao , Sheng Cheng , Xiaofeng Wang , Shenlong Wang , Naira Hovakimyan

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

In this work, a composite economic model predictive control (CEMPC) is proposed for the optimal operation of a stand-alone integrated energy system (IES). Time-scale multiplicity exists in IESs dynamics is taken into account and addressed…

Systems and Control · Electrical Eng. & Systems 2022-05-24 Long Wu , Xunyuan Yin , Lei Pan , Jinfeng Liu

Mixed-integer model predictive control (MI-MPC) requires the solution of a mixed-integer quadratic program (MIQP) at each sampling instant under strict timing constraints, where part of the state and control variables can only assume a…

Optimization and Control · Mathematics 2019-03-22 Pedro Hespanhol , Rien Quirynen , Stefano Di Cairano

Economic forecasting is concerned with the estimation of some variable like gross domestic product (GDP) in the next period given a set of variables that describes the current situation or state of the economy, including industrial…

Econometrics · Economics 2024-04-08 Pedro Afonso Fernandes