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We consider the SEIR compartmental epidemic model subject to state and input constraints (a cap on the proportion of infectious individuals and limits on the allowed social distancing and quarantining measures, respectively). We present a…

最优化与控制 · 数学 2024-06-11 Willem Esterhuizen , Philipp Sauerteig , Stefan Streif , Karl Worthmann

Model Predictive Control (MPC) is widely used to achieve performance objectives, while enforcing operational and safety constraints. Despite its high performance, MPC often demands significant computational resources, making it challenging…

最优化与控制 · 数学 2025-01-24 Mohsen Amiri , Mehdi Hosseinzadeh

This paper presents a novel robust predictive controller for constrained nonlinear systems that is able to track piece-wise constant setpoint signals. The tracking model predictive controller presented in this paper extends the nonlinear…

系统与控制 · 电气工程与系统科学 2025-08-21 Marco Polver , Daniel Limon , Fabio Previdi , Antonio Ferramosca

We present a chance-constrained model predictive control (MPC) framework under Gaussian mixture model (GMM) uncertainty. Specifically, we consider the uncertainty that arises from predicting future behaviors of moving obstacles, which may…

系统与控制 · 电气工程与系统科学 2025-07-21 Kai Ren , Colin Chen , Hyeontae Sung , Heejin Ahn , Ian Mitchell , Maryam Kamgarpour

We propose an iterative approach for designing Robust Learning Model Predictive Control (LMPC) policies for a class of nonlinear systems with additive, unmodelled dynamics. The nominal dynamics are assumed to be difference flat, i.e., the…

系统与控制 · 电气工程与系统科学 2023-03-23 Siddharth H. Nair , Francesco Borrelli

We propose a stochastic MPC scheme using an optimization over the initial state for the predicted trajectory. Considering linear discrete-time systems under unbounded additive stochastic disturbances subject to chance constraints, we use…

系统与控制 · 电气工程与系统科学 2022-07-19 Henning Schlüter , Frank Allgöwer

Optimality is a critical aspect of Model Predictive Control (MPC), especially in economic MPC. However, achieving optimality in MPC presents significant challenges, and may even be impossible, due to inherent inaccuracies in the predictive…

最优化与控制 · 数学 2024-12-25 Akhil S Anand , Arash Bahari Kordabad , Mario Zanon , Sebastien Gros

Model Predictive Control (MPC) is a successful control methodology, which is applied to increasingly complex systems. However, real-time feasibility of MPC can be challenging for complex systems, certainly when an (extremely) large number…

系统与控制 · 电气工程与系统科学 2024-10-25 S. A. N. Nouwens , B. de Jager , M. M. Paulides , W. P. M. H. Heemels

The problem of controlling hybrid dynamical systems using model predictive control (MPC) is formulated and sufficient conditions for asymptotic stability of a set are provided. Hybrid dynamical systems are modeled in terms of hybrid…

最优化与控制 · 数学 2026-04-27 Ricardo G. Sanfelice , Berk Altin

We provide a stability and performance analysis for nonlinear model predictive control (NMPC) schemes subject to input constraints. Given an exponential stabilizability and detectability condition w.r.t. the employed state cost, we provide…

最优化与控制 · 数学 2023-01-09 Johannes Köhler , Melanie N. Zeilinger , Lars Grüne

For systems with uncertain linear models, bounded additive disturbances and state and control constraints, a robust model predictive control algorithm incorporating online model adaptation is proposed. Sets of model parameters are…

最优化与控制 · 数学 2020-07-16 Xiaonan Lu , Mark Cannon , Denis Koksal-Rivet

Adaptive model predictive control (MPC) robustly ensures safety while reducing uncertainty during operation. In this paper, a distributed version is proposed to deal with network systems featuring multiple agents and limited communication.…

系统与控制 · 电气工程与系统科学 2024-04-17 Anilkumar Parsi , Ahmed Aboudonia , Andrea Iannelli , John Lygeros , Roy S. Smith

Handling model mismatch is a common challenge in model predictive control (MPC). While robust MPC is effective, its conservatism often makes it less desirable. Certainty-equivalence MPC (CE-MPC), which uses a nominal model, offers an…

最优化与控制 · 数学 2026-02-10 Changrui Liu , Shengling Shi , Bart De Schutter

With a growing interest in data-driven control techniques, Model Predictive Control (MPC) provides an opportunity to exploit the surplus of data reliably, particularly while taking safety and stability into account. In many real-world and…

人工智能 · 计算机科学 2021-06-04 Mayank Mittal , Marco Gallieri , Alessio Quaglino , Seyed Sina Mirrazavi Salehian , Jan Koutník

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

To address feasibility issues in model predictive control (MPC), most implementations relax state constraints by using slack variables and adding a penalty to the cost. We propose an alternative strategy: relaxing the initial state…

最优化与控制 · 数学 2026-02-18 Johannes Köhler , Melanie N. Zeilinger

The stability of stochastic Model Predictive Control (MPC) subject to additive disturbances is often demonstrated in the literature by constructing Lyapunov-like inequalities that guarantee closed-loop performance bounds and boundedness of…

最优化与控制 · 数学 2019-03-19 Diego Munoz-Carpintero , Mark Cannon

Model Predictive Control (MPC) is widely recognized for its ability to explicitly handle system constraints. In practice, system states are often affected by disturbances with unknown distributions. While robust MPC guarantees constraint…

系统与控制 · 电气工程与系统科学 2026-03-11 Weijiang Zheng , Jiayi Huang , Bing Zhu

Model Predictive Control (MPC) is the principal control technique used in industrial applications. Although it offers distinguishable qualities that make it ideal for industrial applications, it can be questioned its robustness regarding…

最优化与控制 · 数学 2017-03-16 Alberto Zenere , Mattia Zorzi

Long prediction horizons in Model Predictive Control (MPC) often prove to be efficient, however, this comes with increased computational cost. Recently, a Robust Model Predictive Control (RMPC) method has been proposed which exploits models…

系统与控制 · 电气工程与系统科学 2021-05-17 Tim Brüdigam , Johannes Teutsch , Dirk Wollherr , Marion Leibold