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Model Predictive Control (MPC) has proven to be a powerful tool for the control of systems with constraints. Nonetheless, in many applications, a major challenge arises, that is finding the optimal solution within a single sampling instant…

系统与控制 · 电气工程与系统科学 2023-08-16 Valentina Breschi , Simone Formentin , Alberto Leva

We propose a control design method for linear time-invariant systems that iteratively learns to satisfy unknown polyhedral state constraints. At each iteration of a repetitive task, the method constructs an estimate of the unknown…

系统与控制 · 电气工程与系统科学 2023-06-13 Monimoy Bujarbaruah , Charlott Vallon , Francesco Borrelli

In distributed model predictive control (MPC), the control input at each sampling time is computed by solving a large-scale optimal control problem (OCP) over a finite horizon using distributed algorithms. Typically, such algorithms require…

系统与控制 · 电气工程与系统科学 2023-03-28 Giuseppe Belgioioso , Dominic Liao-McPherson , Mathias Hudoba de Badyn , Nicolas Pelzmann , John Lygeros , Florian Dörfler

This paper proposes a differentiable linear quadratic Model Predictive Control (MPC) framework for safe imitation learning. The infinite-horizon cost is enforced using a terminal cost function obtained from the discrete-time algebraic…

最优化与控制 · 数学 2020-01-09 Sebastian East , Marco Gallieri , Jonathan Masci , Jan Koutnik , Mark Cannon

We consider the problem of computing optimal linear control policies for linear systems in finite-horizon. The states and the inputs are required to remain inside pre-specified safety sets at all times despite unknown disturbances. In this…

系统与控制 · 计算机科学 2019-12-17 Luca Furieri , Maryam Kamgarpour

Model Predictive Control (MPC) is a popular technology to operate industrial systems. It refers to a class of control algorithms that use an explicit model of the system to obtain the control action by minimizing a cost function. At each…

最优化与控制 · 数学 2024-11-22 Luz A. Alvarez , Diego F. de Bernardini , Christophe Gallesco

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…

系统与控制 · 电气工程与系统科学 2024-10-07 Adrian Wiltz , Fei Chen , Dimos V. Dimarogonas

We propose a robust adaptive Model Predictive Control (MPC) strategy with online set-based estimation for constrained linear systems with unknown parameters and bounded disturbances. A sample-based test applied to predicted trajectories is…

最优化与控制 · 数学 2023-03-09 Xiaonan Lu , Mark Cannon

We study data-driven learning of robust stochastic control for infinite-horizon systems with potentially continuous state and action spaces. In many managerial settings--supply chains, finance, manufacturing, services, and dynamic…

机器学习 · 统计学 2025-11-18 Shengbo Wang , Jason Meng , Nian Si , Jose Blanchet , Zhengyuan Zhou

Model Predictive Control is an extremely effective control method for systems with input and state constraints. Model Predictive Control performance heavily depends on the accuracy of the open-loop prediction. For systems with uncertainty…

最优化与控制 · 数学 2022-07-27 Francesco Micheli , John Lygeros

Recently, suboptimality estimates for model predictive controllers (MPC) have been derived for the case without additional stabilizing endpoint constraints or a Lyapunov function type endpoint weight. The proposed methods yield a posteriori…

最优化与控制 · 数学 2015-03-19 Thomas Jahn , Jürgen Pannek

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…

最优化与控制 · 数学 2025-04-29 Yuchao Li , Aren Karapetyan , Niklas Schmid , John Lygeros , Karl H. Johansson , Jonas Mårtensson

One of the critical challenges in automated driving is ensuring safety of automated vehicles despite the unknown behavior of the other vehicles. Although motion prediction modules are able to generate a probability distribution associated…

系统与控制 · 电气工程与系统科学 2024-03-28 Luyao Zhang , George Pantazis , Shaohang Han , Sergio Grammatico

In this paper, we present an iterative Model Predictive Control (MPC) design for piecewise nonlinear systems. We consider finite time control tasks where the goal of the controller is to steer the system from a starting configuration to a…

系统与控制 · 电气工程与系统科学 2021-06-02 Ugo Rosolia , Aaron D. Ames

We model, simulate and control the guiding problem for a herd of evaders under the action of repulsive drivers. The problem is formulated in an optimal control framework, where the drivers (controls) aim to guide the evaders (states) to a…

最优化与控制 · 数学 2020-05-01 Dongnam Ko , Enrique Zuazua

In this paper we propose a data-driven distributionally robust Model Predictive Control framework for constrained stochastic systems with unbounded additive disturbances. Recursive feasibility is ensured by optimizing over an linearly…

最优化与控制 · 数学 2023-03-07 Christoph Mark , Steven Liu

There are no computationally feasible algorithms that provide solutions to the finite horizon Risk-sensitive Constrained Markov Decision Process (Risk-CMDP) problem, even for problems with moderate horizon. With an aim to design the same,…

最优化与控制 · 数学 2023-03-27 Vartika Singh , Veeraruna Kavitha

Safe navigation is a fundamental challenge in multi-robot systems due to the uncertainty surrounding the future trajectory of the robots that act as obstacles for each other. In this work, we propose a principled data-driven approach where…

机器人学 · 计算机科学 2022-09-19 Atharva Navsalkar , Ashish R. Hota

RBM-MPC is a computationally efficient variant of Model Predictive Control (MPC) in which the Random Batch Method (RBM) is used to speed up the finite-horizon optimal control problems at each iteration. In this paper, stability and…

最优化与控制 · 数学 2024-03-08 Daniël Veldman , Alexandra Borkowski , Enrique Zuazua

Balancing the societal costs of non-pharmaceutical interventions with epidemic suppression requires adaptive feedback control. Rather than relying on state-dependent operational caps, we formulate an infinite-horizon optimal control problem…

最优化与控制 · 数学 2026-05-26 Mahtab Talaei , Alex Olshevsky , Laura F. White , Ioannis Ch. Paschalidis