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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

Model Predictive Control (MPC) is attracting tremendous attention in the autonomous driving task as a powerful control technique. The success of an MPC controller strongly depends on an accurate internal dynamics model. However, the static…

Machine Learning · Computer Science 2023-04-28 Yuan Zhang , Joschka Boedecker , Chuxuan Li , Guyue Zhou

We present a Reinforcement Learning-based Robust Nonlinear Model Predictive Control (RL-RNMPC) framework for controlling nonlinear systems in the presence of disturbances and uncertainties. An approximate Robust Nonlinear Model Predictive…

Systems and Control · Electrical Eng. & Systems 2021-04-08 Hossein Nejatbakhsh Esfahani , Arash Bahari Kordabad , Sebastien Gros

Model predictive control (MPC) is a method to formulate the optimal scheduling problem for grid flexibilities in a mathematical manner. The resulting time-constrained optimization problem can be re-solved in each optimization time step…

Systems and Control · Electrical Eng. & Systems 2021-08-20 Steven de Jongh , Sina Steinle , Anna Hlawatsch , Felicitas Mueller , Michael Suriyah , Thomas Leibfried

Model predictive control (MPC) is a powerful tool for controlling complex nonlinear systems under constraints, but often struggles with model uncertainties and the design of suitable cost functions. To address these challenges, we discuss…

Systems and Control · Electrical Eng. & Systems 2024-10-08 Sebastian Hirt , Andreas Höhl , Johannes Pohlodek , Joachim Schaeffer , Maik Pfefferkorn , Richard D. Braatz , Rolf Findeisen

This paper is concerned with model predictive control (MPC) of discrete-time linear systems subject to bounded additive disturbance and mixed constraints on the state and input, whereas the true disturbance set is unknown. Unlike most…

Optimization and Control · Mathematics 2024-05-22 Yulong Gao , Shuhao Yan , Jian Zhou , Mark Cannon , Alessandro Abate , Karl H. Johansson

As robotic systems move from highly structured environments to open worlds, incorporating uncertainty from dynamics learning or state estimation into the control pipeline is essential for robust performance. In this paper we present a…

Systems and Control · Electrical Eng. & Systems 2021-09-14 Robert Dyro , James Harrison , Apoorva Sharma , Marco Pavone

This paper investigates the problem of robust model predictive control (RMPC) of linear-time-invariant (LTI) discrete-time systems subject to structured uncertainty and bounded disturbances. Typically, the constrained RMPC problem with…

Systems and Control · Electrical Eng. & Systems 2022-08-18 Anastasis Georgiou , Furqan Tahir , Imad M. Jaimoukha , Simos A. Evangelou

In this paper, we address the problem of designing stochastic model predictive control (MPC) schemes for linear systems affected by unbounded disturbances. The contribution of the paper is twofold. First, motivated by the difficulty of…

Systems and Control · Electrical Eng. & Systems 2024-06-21 Mirko Fiacchini , Martina Mammarella , Fabrizio Dabbene

Model predictive control (MPC) is a popular approach for trajectory optimization in practical robotics applications. MPC policies can optimize trajectory parameters under kinodynamic and safety constraints and provide guarantees on safety,…

Robotics · Computer Science 2023-06-08 Returaj Burnwal , Anirban Santara , Nirav P. Bhatt , Balaraman Ravindran , Gaurav Aggarwal

In this technical note we analyse the performance improvement and optimality properties of the Learning Model Predictive Control (LMPC) strategy for linear deterministic systems. The LMPC framework is a policy iteration scheme where…

Optimization and Control · Mathematics 2022-02-02 Ugo Rosolia , Yingzhao Lian , Emilio T. Maddalena , Giancarlo Ferrari-Trecate , Colin N. Jones

Accurate path following is challenging for autonomous robots operating in uncertain environments. Adaptive and predictive control strategies are crucial for a nonlinear robotic system to achieve high-performance path following control. In…

Robotics · Computer Science 2022-12-27 Rui Yang , Lei Zheng , Jiesen Pan , Hui Cheng

Nonlinear model predictive control (MPC) is a flexible and increasingly popular framework used to synthesize feedback control strategies that can satisfy both state and control input constraints. In this framework, an optimization problem,…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Kong Yao Chee , M. Ani Hsieh , Nikolai Matni

Iterative Learning Control (ILC) schemes can guarantee properties such as asymptotic stability and monotonic error convergence, but do not, in general, ensure adherence to output constraints. The topic of this paper is the design of a…

Systems and Control · Electrical Eng. & Systems 2021-08-12 Michael Meindl , Fabio Molinari , Jörg Raisch , Thomas Seel

Including Model Predictive Control (MPC) in the undergraduate/graduate control curriculum is becoming vitally important due to the growing adoption of MPC in many industrial areas. In this paper, we present an overview of the predictive…

Optimization and Control · Mathematics 2023-06-27 Ian McInerney , Eric C. Kerrigan

A Learning Model Predictive Controller (LMPC) is presented and tailored to platooning and Connected Autonomous Vehicles (CAVs) applications. The proposed controller builds on previous work on nonlinear LMPC, adapting its architecture and…

Optimization and Control · Mathematics 2019-08-09 Hassan Jafarzadeh , Cody Fleming

We present foundations for using Model Predictive Control (MPC) as a differentiable policy class for reinforcement learning in continuous state and action spaces. This provides one way of leveraging and combining the advantages of…

Machine Learning · Computer Science 2019-10-15 Brandon Amos , Ivan Dario Jimenez Rodriguez , Jacob Sacks , Byron Boots , J. Zico Kolter

This letter is devoted to the concept of ``instant'' model predictive control (iMPC) for linear systems. An optimization problem is formulated to express the finite-time constrained optimal regulation control, like conventional MPC. Then,…

Systems and Control · Computer Science 2020-03-11 Keisuke Yoshida , Masaki Inoue , Takeshi Hatanaka

The sudden onset of deleterious and oscillatory dynamics (often called instabilities) is a known challenge in many fluid, plasma, and aerospace systems. These dynamics are difficult to address because they are nonlinear, chaotic, and are…

Machine Learning · Computer Science 2024-05-31 John W. Brooks , Christine M. Greve

We develop an adaptive feedback control technique that combines an extremum-seeking-based command generator (ECG) with indirect adaptive control. In particular, ECG is used to generate commands that asymptotically optimize a cost function…

Optimization and Control · Mathematics 2026-05-07 Jhon Manuel Portella Delgado , Aidan Rice , Jacob C. Vander Schaaf , Dennis S. Bernstein