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Approximate dynamic programming (ADP) faces challenges in dealing with constraints in control problems. Model predictive control (MPC) is, in comparison, well-known for its accommodation of constraints and stability guarantees, although its…

系统与控制 · 电气工程与系统科学 2023-04-10 Kanghui He , Shengling Shi , Ton van den Boom , Bart De Schutter

Model predictive control (MPC) of hybrid dynamical systems is challenging because the associated optimization problem is nonsmooth and the resulting feedback law is discontinuous. This paper develops real-time MPC algorithms for nonlinear…

最优化与控制 · 数学 2026-04-21 Armin Nurkanović , Anton Pozharskiy , Moritz Diehl

Model Predictive Control (MPC) is among the most widely adopted and reliable methods for robot control, relying critically on an accurate dynamics model. However, existing dynamics models used in the gradient-based MPC are limited by…

机器人学 · 计算机科学 2025-08-11 Jan Węgrzynowski , Piotr Kicki , Grzegorz Czechmanowski , Maciej Krupka , Krzysztof Walas

Model predictive control (MPC) is a powerful, optimization-based approach for controlling dynamical systems. However, the computational complexity of online optimization can be problematic on embedded devices. Especially, when we need to…

A cascaded online learning flight control system has been developed and enhanced with respect to action smoothness. In this paper, we investigate the convergence performance of the control system, characterized by the increment of a…

人工智能 · 计算机科学 2025-10-28 Yifei Li , Erik-Jan van Kampen

A common problem when using model predictive control (MPC) in practice is the satisfaction of safety specifications beyond the prediction horizon. While theoretical works have shown that safety can be guaranteed by enforcing a suitable…

机器人学 · 计算机科学 2025-07-09 Ji Yin , Oswin So , Eric Yang Yu , Chuchu Fan , Panagiotis Tsiotras

The main challenge in controlling hybrid systems arises from having to consider an exponential number of sequences of future modes to make good long-term decisions. Model predictive control (MPC) computes a control action through a…

最优化与控制 · 数学 2021-06-09 Sandeep Menta , Joseph Warrington , John Lygeros , Manfred Morari

Linear Model Predictive Control (MPC) is a widely used method to control systems with linear dynamics. Efficient interior-point methods have been proposed which leverage the block diagonal structure of the quadratic program (QP) resulting…

最优化与控制 · 数学 2021-09-09 Kai Pfeiffer , Ludovic Righetti

Controller design for nonlinear systems with Control Lyapunov Function (CLF) based quadratic programs has recently been successfully applied to a diverse set of difficult control tasks. These existing formulations do not address the gap…

系统与控制 · 电气工程与系统科学 2021-03-09 Andrew J. Taylor , Victor D. Dorobantu , Yisong Yue , Paulo Tabuada , Aaron D. Ames

Practical reinforcement learning problems are often formulated as constrained Markov decision process (CMDP) problems, in which the agent has to maximize the expected return while satisfying a set of prescribed safety constraints. In this…

机器学习 · 计算机科学 2019-09-23 Shin-ichi Maeda , Hayato Watahiki , Shintarou Okada , Masanori Koyama

This tutorial consists of a brief introduction to the modern control approach called model predictive control (MPC) and its numerical implementation using MATLAB. We discuss the basic concepts and numerical implementation of the two major…

最优化与控制 · 数学 2023-09-04 Midhun T. Augustine

We present a model predictive control (MPC) formulation to directly optimize economic criteria for linear constrained systems subject to disturbances and uncertain model parameters. The proposed formulation combines a certainty equivalent…

系统与控制 · 电气工程与系统科学 2024-09-11 Maximilian Degner , Raffaele Soloperto , Melanie N. Zeilinger , John Lygeros , Johannes Köhler

Modern control systems must operate in increasingly complex environments subject to safety constraints and input limits, and are often implemented in a hierarchical fashion with different controllers running at multiple time scales. Yet…

系统与控制 · 电气工程与系统科学 2022-04-04 Noel Csomay-Shanklin , Andrew J. Taylor , Ugo Rosolia , Aaron D. Ames

We propose a novel Stochastic Model Predictive Control (MPC) for uncertain linear systems subject to probabilistic constraints. The proposed approach leverages offline learning to extract key features of affine disturbance feedback…

系统与控制 · 电气工程与系统科学 2024-11-22 Hotae Lee , Francesco Borrelli

Adaptive Horizon Model Predictive Control (AHMPC) is a scheme for varying as needed the horizon length of Model Predictive Control (MPC). Its goal is to achieve stabilization with horizons as small as possible so that MPC can be used on…

最优化与控制 · 数学 2016-03-01 Arthur J. Krener

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

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…

最优化与控制 · 数学 2020-11-24 Kunwu Zhang , Yang Shi

This paper proposes a real-time model predictive control (MPC) scheme to execute multiple tasks using robots over a finite-time horizon. In industrial robotic applications, we must carefully consider multiple constraints for avoiding joint…

机器人学 · 计算机科学 2022-09-27 Jaemin Lee , Mingyo Seo , Andrew Bylard , Robert Sun , Luis Sentis

In this paper, we focus on the problem of shrinking-horizon Model Predictive Control (MPC) in uncertain dynamic environments. We consider controlling a deterministic autonomous system that interacts with uncontrollable stochastic agents…

系统与控制 · 电气工程与系统科学 2024-05-20 Charis Stamouli , Lars Lindemann , George J. Pappas

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