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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

This paper studies the distributed model predictive control (DMPC) problem for distributed discrete-time linear systems with both local and global constraints over directed communication networks. We establish an optimization problem to…

Optimization and Control · Mathematics 2025-11-06 Pengbiao Wang , Xuemei Ren , Dongdong Zheng

This paper presents a novel distributed model predictive control (MPC) formulation without terminal cost and a corresponding distributed synthesis approach for distributed linear discrete-time systems with coupled constraints. The proposed…

Systems and Control · Electrical Eng. & Systems 2026-05-28 Xiaoyu Liu , Dimos V. Dimarogonas , Changxin Liu , Azita Dabiri , Bart De Schutter

Robust Model Predictive Control (MPC) for nonlinear systems is a problem that poses significant challenges as highlighted by the diversity of approaches proposed in the last decades. Often compromises with respect to computational load,…

Systems and Control · Electrical Eng. & Systems 2024-02-21 Daniel D. Leister , Justin P. Koeln

Many practical applications of optimal control are subject to real-time computational constraints. When applying model predictive control (MPC) in these settings, respecting timing constraints is achieved by limiting the number of…

Optimization and Control · Mathematics 2024-12-16 Anusha Srikanthan , Aren Karapetyan , Vijay Kumar , Nikolai Matni

We propose a novel approach to design a robust Model Predictive Controller (MPC) for constrained uncertain linear systems. The uncertain system is modeled as linear parameter varying with additive disturbance. Set bounds for the system…

Systems and Control · Electrical Eng. & Systems 2022-08-11 Monimoy Bujarbaruah , Ugo Rosolia , Yvonne R Stürz , Xiaojing Zhang , Francesco Borrelli

The modular open-source framework GRAMPC-D for model predictive control of distributed systems is presented in this paper. The modular concept allows to solve optimal control problems (OCP) in a centralized and distributed fashion using the…

Systems and Control · Electrical Eng. & Systems 2020-10-26 Daniel Burk , Andreas Völz , Knut Graichen

In this paper, we propose a distributed model predictive control (DMPC) scheme for linear time-invariant constrained systems which admit a separable structure. To exploit the merits of distributed computation algorithms, the stabilizing…

Optimization and Control · Mathematics 2018-03-22 Georgios Darivianakis , Annika Eichler , John Lygeros

In this paper, we propose an event-based sampling policy to implement a constraint-tightening, robust MPC method. The proposed policy enjoys a computationally tractable design and is applicable to perturbed, linear time-invariant systems…

Optimization and Control · Mathematics 2021-05-11 Arman Sharifi Kolarijani , Sander Bregman , Peyman Mohajerin Esfahani , Tamas Keviczky

In this paper we introduce an iterative Jacobi algorithm for solving distributed model predictive control (DMPC) problems, with linear coupled dynamics and convex coupled constraints. The algorithm guarantees stability and persistent…

Optimization and Control · Mathematics 2008-09-23 Dang Doan , Tamas Keviczky , Ion Necoara , Moritz Diehl

We establish a collection of closed-loop guarantees and propose a scalable optimization algorithm for distributionally robust model predictive control (DRMPC) applied to linear systems, convex constraints, and quadratic costs. Via standard…

Optimization and Control · Mathematics 2024-11-13 Robert D. McAllister , Peyman Mohajerin Esfahani

The control of constrained systems using model predictive control (MPC) becomes more challenging when full state information is not available and when the nominal system model and measurements are corrupted by noise. Since these conditions…

Systems and Control · Electrical Eng. & Systems 2020-02-19 Joseph Lorenzetti , Marco Pavone

This paper presents a distributionally robust stochastic model predictive control (SMPC) approach for linear discrete-time systems subject to unbounded and correlated additive disturbances. We consider hard input constraints and state…

Optimization and Control · Mathematics 2021-09-21 Christoph Mark , Steven Liu

Distributed parameter systems (DPS) are formulated as partial differential equations (PDE). Especially, under time-varying boundary conditions, PDE introduce force coupling. In the case of the flexible stacker crane (STC), nonlinear…

Optimization and Control · Mathematics 2025-01-28 Joe Ismail , Steven Liu

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

This paper investigates adaptive model predictive control (MPC) for a class of constrained linear systems with unknown model parameters. This is also posed as the dual control problem consisting of system identification and regulation. We…

Optimization and Control · Mathematics 2020-11-24 Kunwu Zhang , Yang Shi

This work develops a robust nonlinear Model Predictive Control (MPC) framework for path tracking in autonomous vehicles operating at the limits of handling utilizing a Control Contraction Metric (CCM) derived from a perturbed dynamic single…

Systems and Control · Electrical Eng. & Systems 2026-02-11 Joscha F. Bongard , Valentin L. Krieger , Boris Lohmann

This work proposes a novel robust model predictive control (MPC) algorithm for linear systems affected by dynamic model uncertainty and exogenous disturbances. The uncertainty is modeled using a linear fractional perturbation structure with…

Systems and Control · Electrical Eng. & Systems 2022-06-10 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

This paper proposes an adaptive tube framework for model predictive control (MPC) of discrete-time linear time-invariant systems subject to parametric uncertainty and additive disturbances. In contrast to conventional tube-based MPC schemes…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Anchita Dey , Shubhendu Bhasin

This work introduces a stochastic model predictive control scheme for dynamic chance constraints. We consider linear discrete-time systems affected by unbounded additive stochastic disturbance. To synthesize an optimal controller, we solve…

Systems and Control · Electrical Eng. & Systems 2023-07-26 Maico Hendrikus Wilhelmus Engelaar , Sofie Haesaert , Mircea Lazar