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This paper proposes to decouple performance optimization and enforcement of asymptotic convergence in Model Predictive Control (MPC) so that convergence to a given terminal set is achieved independently of how much performance is optimized…

系统与控制 · 计算机科学 2015-03-02 Alberto Bemporad , Daniele Bernardini , Panagiotis Patrinos

Energy-based learning algorithms, such as predictive coding (PC), have garnered significant attention in the machine learning community due to their theoretical properties, such as local operations and biologically plausible mechanisms for…

机器学习 · 计算机科学 2024-10-08 Ankur Mali , Tommaso Salvatori , Alexander Ororbia

A typical bottleneck of model predictive control algorithms is the computational burden in order to compute the receding horizon feedback law which is predominantly determined by the length of the prediction horizon. Based on a relaxed…

最优化与控制 · 数学 2014-01-16 Jürgen Pannek , Karl Worthmann

We present a stochastic model predictive control (SMPC) framework for linear systems subject to possibly unbounded disturbances. State of the art SMPC approaches with closed-loop chance constraint satisfaction recursively initialize the…

系统与控制 · 电气工程与系统科学 2022-06-22 Johannes Köhler , Melanie N. Zeilinger

Neural-network-based controllers (NNCs) can represent complex, highly nonlinear control laws, but verifying the closed-loop stability of dynamical systems using them remains challenging. This work presents contributions to a…

系统与控制 · 电气工程与系统科学 2025-10-29 Alvaro Detailleur , Dalim Wahby , Guillaume Ducard , Christopher Onder

This paper presents a robust model predictive control (MPC) framework that explicitly addresses the non-Gaussian noise inherent in deep learning-based perception modules used for state estimation. Recognizing that accurate uncertainty…

机器人学 · 计算机科学 2025-09-08 Nariman Niknejad , Gokul S. Sankar , Bahare Kiumarsi , Hamidreza Modares

Real-world control applications in complex and uncertain environments require adaptability to handle model uncertainties and robustness against disturbances. This paper presents an online, output-feedback, critic-only, model-based…

系统与控制 · 电气工程与系统科学 2023-04-25 Tochukwu Elijah Ogri , Zachary I. Bell , Rushikesh Kamalapurkar

We extend the classical concepts of sampling and Euler solutions for control systems associated to discontinuous feedbacks by considering also the corresponding costs. In particular, we introduce the notions of Sample and Euler…

最优化与控制 · 数学 2020-04-24 Anna Chiara Lai , Monica Motta

Predictive safety filters provide a way of projecting potentially unsafe inputs, proposed, e.g. by a human or learning-based controller, onto the set of inputs that guarantee recursive state and input constraint satisfaction by leveraging…

系统与控制 · 电气工程与系统科学 2024-04-30 Alexandre Didier , Andrea Zanelli , Kim P. Wabersich , Melanie N. Zeilinger

Suboptimal model predictive control is a technique that can reduce the computational cost of model predictive control (MPC) by exploiting its robustness to incomplete optimization. Instead of solving the optimal control problem exactly,…

系统与控制 · 计算机科学 2019-05-08 Dominic Liao-McPherson , Marco Nicotra , Ilya Kolmanovsky

In this paper, we investigate the use of relaxed logarithmic barrier functions in the context of linear model predictive control. We present results that allow to guarantee asymptotic stability of the corresponding closed-loop system, and…

最优化与控制 · 数学 2015-03-12 Christian Feller , Christian Ebenbauer

This paper designs a model predictive control (MPC) law for constrained linear systems with stochastic additive disturbances and noisy measurements, minimising a discounted cost subject to a discounted expectation constraint. It is assumed…

系统与控制 · 电气工程与系统科学 2022-04-22 Shuhao Yan , Mark Cannon , Paul J. Goulart

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

This paper presents a theoretical overview of a Neural Contraction Metric (NCM): a neural network model of an optimal contraction metric and corresponding differential Lyapunov function, the existence of which is a necessary and sufficient…

机器学习 · 计算机科学 2021-10-05 Hiroyasu Tsukamoto , Soon-Jo Chung , Jean-Jacques Slotine , Chuchu Fan

Employing model predictive control to systems with unbounded, stochastic disturbances poses the challenge of guaranteeing safety, i.e., repeated feasibility and stability of the closed-loop system. Especially, there are no strict repeated…

系统与控制 · 电气工程与系统科学 2024-10-11 Maik Pfefferkorn , Rolf Findeisen

In this paper, we analyze stability of nonlinear model predictive control (MPC) using data-driven surrogate models in the optimization step. First, we establish asymptotic stability of the origin, a controlled steady state, w.r.t. the MPC…

最优化与控制 · 数学 2026-02-09 Irene Schimperna , Karl Worthmann , Manuel Schaller , Lea Bold , Lalo Magni

This paper presents a new Lyapunov-based nonlinear model predictive controller (LNMPC) for the attitude control problem of unmanned aerial vehicles (UAVs), which is essential for their functioning operation. The controller is designed based…

系统与控制 · 电气工程与系统科学 2023-01-02 Duy Nam Bui , Thi Thanh Van Nguyen , Manh Duong Phung

We consider an input-constrained differential-drive robot with actuator dynamics. For this system, we establish asymptotic stability of the origin on arbitrary compact, convex sets using Model Predictive Control (MPC) without stabilizing…

系统与控制 · 电气工程与系统科学 2021-06-04 Franz Rußwurm , Willem Esterhuizen , Karl Worthmann , Stefan Streif

We propose a computationally efficient nonlinear Model Predictive Control (NMPC) algorithm for safe, learning-based control. The system model is represented as an affine combination of basis functions with unknown parameters, and is subject…

最优化与控制 · 数学 2026-03-06 Johannes Buerger , Mark Cannon

In this paper, we address the problem of designing stochastic model predictive control (SMPC) schemes for linear systems affected by unbounded disturbances. The contribution of the paper is rooted in a measured-state initialization…

最优化与控制 · 数学 2025-04-25 Mirko Fiacchini , Martina Mammarella , Fabrizio Dabbene