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Model Predictive Control (MPC) is an enabling technology in applications requiring controlling physical processes in an optimized way under constraints on inputs and outputs. However, in MPC closed-loop performance is pushed to the limits…

最优化与控制 · 数学 2019-05-06 Dario Piga , Marco Forgione , Simone Formentin , Alberto Bemporad

Model Predictive Control (MPC) offers rigorous safety and performance guarantees but is computationally intensive. Approximate MPC (AMPC) aims to circumvent this drawback by learning a computationally cheaper surrogate policy. Common…

系统与控制 · 电气工程与系统科学 2025-11-19 Elias Milios , Kim P. Wabersich , Felix Berkel , Felix Gruber , Melanie N. Zeilinger

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…

机器人学 · 计算机科学 2024-07-08 Ran Tao , Sheng Cheng , Xiaofeng Wang , Shenlong Wang , Naira Hovakimyan

In this paper, we present a quasi infinite horizon nonlinear model predictive control (MPC) scheme for tracking of generic reference trajectories. This scheme is applicable to nonlinear systems, which are locally incrementally stabilizable.…

系统与控制 · 电气工程与系统科学 2020-03-12 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

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

Autonomous systems are increasingly deployed in real-world environments, where they must achieve high performance while maintaining safety under state and input constraints. Although Model Predictive Control (MPC) provides a principled…

机器人学 · 计算机科学 2026-04-28 Hao Wang , Nam Nguyen , Armand Jordana , Ludovic Righetti , Somil Bansal

In this paper we present a stability proof of model predictive control without stabilizing terminal constraints of cost which are subject to unknown but measurable disturbances. To this end, a relaxed Lyapunov argument on the nominal system…

最优化与控制 · 数学 2012-04-17 J. Pannek , M. Gerdts

A centralized model predictive controller (MPC), which is unaware of local uncertainties, for an affine discrete time nonlinear system is presented. The local uncertainties are assumed to be matched, bounded and structured. In order to…

最优化与控制 · 数学 2020-09-15 Prabhat K. Mishra , Tixian Wang , Mattia Gazzola , Girish Chowdhary

In this paper we propose a model predictive control scheme for constrained fractional-order discrete-time systems. We prove that all constraints are satisfied at all time instants and we prescribe conditions for the origin to be an…

最优化与控制 · 数学 2016-06-16 Pantelis Sopasakis , Haralambos Sarimveis

We consider nonlinear model predictive control (MPC) schemes without stabilizing terminal conditions, where the model used in the optimization step is generated based on input-output data only. We establish exponential stability for…

最优化与控制 · 数学 2026-05-27 Lea Bold , Irene Schimperna , Karl Worthmann , Johannes Köhler

In distributed model predictive control (DMPC), where a centralized optimization problem is solved in distributed fashion using dual decomposition, it is important to keep the number of iterations in the solution algorithm, i.e. the amount…

最优化与控制 · 数学 2013-07-11 Pontus Giselsson , Anders Rantzer

The optimization of process economics within the model predictive control (MPC) formulation has given rise to a new control paradigm known as economic MPC (EMPC). Several authors have discussed the closed-loop properties of EMPC-controlled…

最优化与控制 · 数学 2016-11-01 Pantelis Sopasakis , Domagoj Herceg , Panagiotis Patrinos , Alberto Bemporad

The main benefit of model predictive control (MPC) is its ability to steer the system to a given reference without violating the constraints while minimizing some objective. Furthermore, a suitably designed MPC controller guarantees…

系统与控制 · 电气工程与系统科学 2024-06-25 Pablo Krupa , Daniel Limon , Teodoro Alamo

Model Predictive Control (MPC) offers a versatile framework for constraint handling and multi-objective optimisation, yet practical application faces challenges regarding initial and recursive feasibility, robustness against model…

最优化与控制 · 数学 2026-02-27 Dario Dennstädt

In this paper, we present a stabilizing Nonlinear Model Predictive Control (NMPC) scheme tailored for a class of nonholonomic systems with drift, where the acceleration is laterally restrained. Examples include a mobile robot with drifting…

最优化与控制 · 数学 2024-03-08 Huu Thien Nguyen , Fernando A. C. C. Fontes , Ionela Prodan

We provide a method to design adaptive controllers for nonlinear systems using model predictive control (MPC). By combining a certainty-equivalent MPC formulation with least-mean-square parameter adaptation, we obtain an adaptive controller…

最优化与控制 · 数学 2026-03-19 Johannes Köhler

It is a well known fact that finite time optimal controllers, such as MPC does not necessarily result in closed loop stable systems. Within the MPC community it is common practice to add a final state constraint and/or a final state penalty…

最优化与控制 · 数学 2016-04-05 Daniel Simon , Johan Löfberg

In this paper we present a framework for risk-averse model predictive control (MPC) of linear systems affected by multiplicative uncertainty. Our key innovation is to consider time-consistent, dynamic risk metrics as objective functions to…

最优化与控制 · 数学 2015-11-24 Yin-Lam Chow , Marco Pavone

Safe learning of control policies remains challenging, both in optimal control and reinforcement learning. In this article, we consider safe learning of parametrized predictive controllers that operate with incomplete information about the…

系统与控制 · 电气工程与系统科学 2024-09-17 Sebastian Hirt , Maik Pfefferkorn , Rolf Findeisen

We propose and analyze a real-time model predictive control (MPC) scheme that utilizes stored data to improve its performance by learning the value function online with stability guarantees. For linear and nonlinear systems, a learning…

最优化与控制 · 数学 2020-09-23 Lukas Schwenkel , Meriem Gharbi , Sebastian Trimpe , Christian Ebenbauer