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The increasing presence of large-scale distributed systems highlights the need for scalable control strategies where only local communication is required. Moreover, in safety-critical systems it is imperative that such control strategies…

Optimization and Control · Mathematics 2022-03-16 Carmen Amo Alonso , Jing Shuang Li , James Anderson , Nikolai Matni

In this paper, a method is presented to synthesize neural network controllers such that the feedback system of plant and controller is dissipative, certifying performance requirements such as L2 gain bounds. The class of plants considered…

Systems and Control · Electrical Eng. & Systems 2024-04-12 Neelay Junnarkar , Murat Arcak , Peter Seiler

We consider control of multiple stable first-order \review{agents} which have a control coupling described by an M-matrix. These agents are subject to incremental sector-bounded \review{input} nonlinearities. We show that such plants can be…

Systems and Control · Electrical Eng. & Systems 2024-06-21 Felix Agner , Jonas Hansson , Pauline Kergus , Anders Rantzer , Sophie Tarbouriech , Luca Zaccarian

Control of nonlinear distributed parameter systems (DPS) under uncertainty is a meaningful task for many industrial processes. However, both intrinsic uncertainty and high dimensionality of DPS require intensive computations, while…

Optimization and Control · Mathematics 2024-10-17 Min Tao , Ioannis Zacharopoulos , Constantinos Theodoropoulos

This paper addresses the problem of cooperative transportation of an object rigidly grasped by N robotic agents. We propose a Nonlinear Model Predictive Control (NMPC) scheme that guarantees the navigation of the object to a desired pose in…

Robotics · Computer Science 2018-03-22 Christos K. Verginis , Alexandros Nikou , Dimos V. Dimarogonas

This paper analyzes distributed control protocols for first- and second-order networked dynamical systems. We propose a class of nonlinear consensus controllers where the input of each agent can be written as a product of a nonlinear gain,…

Dynamical Systems · Mathematics 2014-10-01 Martin Andreasson , Dimos V. Dimarogonas , Henrik Sandberg , Karl H. Johansson

This paper proposes an iterative distributionally robust model predictive control (MPC) scheme to solve a risk-constrained infinite-horizon optimal control problem. In each iteration, the algorithm generates a trajectory from the starting…

Optimization and Control · Mathematics 2023-08-23 Alireza Zolanvari , Ashish Cherukuri

This paper presents a flexible and modular control scheme based on distributed model predictive control (DMPC) to achieve optimal operation of decentralized energy systems in smart grids. The proposed approach is used to coordinate multiple…

Optimization and Control · Mathematics 2015-08-05 Paul Stadler , Araz Ashouri , Francois Marechal

Modeling error or external disturbances can severely degrade the performance of Model Predictive Control (MPC) in real-world scenarios. Robust MPC (RMPC) addresses this limitation by optimizing over feedback policies but at the expense of…

Systems and Control · Electrical Eng. & Systems 2019-07-16 Brett T. Lopez , Jean-Jacques E. Slotine , Jonathan P. How

This paper focuses on the trajectory tracking control problem for an articulated unmanned ground vehicle. We propose and compare two approaches in terms of performance and computational complexity. The first uses a nonlinear mathematical…

Systems and Control · Electrical Eng. & Systems 2021-03-26 Erkan Kayacan , Wouter Saeys , Herman Ramon , Calin Belta , Joshua M. Peschel

The practical deployment of nonlinear model predictive control (NMPC) is often limited by online computation: solving a nonlinear program at high control rates can be expensive on embedded hardware, especially when models are complex or…

Machine Learning · Computer Science 2026-03-26 Mihaela-Larisa Clement , Mónika Farsang , Agnes Poks , Johannes Edelmann , Manfred Plöchl , Radu Grosu , Ezio Bartocci

This paper introduces a family of iterative algorithms for unconstrained nonlinear optimal control. We generalize the well-known iLQR algorithm to different multiple-shooting variants, combining advantages like straight-forward…

Systems and Control · Computer Science 2017-12-12 Markus Giftthaler , Michael Neunert , Markus Stäuble , Jonas Buchli , Moritz Diehl

The nonlinear optimization problem with linear constraints has many applications in engineering fields such as the visual-inertial navigation and localization of an unmanned aerial vehicle maintaining the horizontal flight. In order to…

Numerical Analysis · Mathematics 2020-11-03 Xin-long Luo , Jia-hui Lv , Geng Sun

Quadratic programming (QP) forms a crucial foundation in optimization, encompassing a broad spectrum of domains and serving as the basis for more advanced algorithms. Consequently, as the scale and complexity of modern applications continue…

Optimization and Control · Mathematics 2025-01-28 Augustinos D. Saravanos , Hunter Kuperman , Alex Oshin , Arshiya Taj Abdul , Vincent Pacelli , Evangelos A. Theodorou

Nonlinear model predictive control (NMPC) often requires real-time solution to optimization problems. However, in cases where the mathematical model is of high dimension in the solution space, e.g. for solution of partial differential…

Linear quadratic regulator (LQR) is one of the most popular frameworks to tackle continuous Markov decision process tasks. With its fundamental theory and tractable optimal policy, LQR has been revisited and analyzed in recent years, in…

Artificial Intelligence · Computer Science 2020-07-14 Youngsuk Park , Ryan A. Rossi , Zheng Wen , Gang Wu , Handong Zhao

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

Medical drug infusion problems pose a combination of challenges such as nonlinearities from physiological models, model uncertainty due to inter- and intra-patient variability, as well as strict safety specifications. With these challenges…

Systems and Control · Electrical Eng. & Systems 2023-01-24 Sophie Hall , Lukas Ortmann , Miguel Picallo , Florian Dörfler

Distributed quantum computing (DQC) offers a pathway for scaling up quantum computing architectures beyond the confines of a single chip. Entanglement is a crucial resource for implementing non-local operations in DQC, and it is required to…

Quantum Physics · Physics 2025-03-25 Ji Liu , Allen Zang , Martin Suchara , Tian Zhong , Paul D Hovland

Model Predictive Path Integral (MPPI) control is a type of sampling-based model predictive control that simulates thousands of trajectories and uses these trajectories to synthesize optimal controls on-the-fly. In practice, however, MPPI…

Robotics · Computer Science 2023-02-24 Ji Yin , Charles Dawson , Chuchu Fan , Panagiotis Tsiotras