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We establish a collection of closed-loop guarantees and propose a scalable optimization algorithm for distributionally robust model predictive control (DRMPC) applied to linear systems, convex constraints, and quadratic costs. Via standard…

最优化与控制 · 数学 2024-11-13 Robert D. McAllister , Peyman Mohajerin Esfahani

A common problem affecting neural network (NN) approximations of model predictive control (MPC) policies is the lack of analytical tools to assess the stability of the closed-loop system under the action of the NN-based controller. We…

系统与控制 · 电气工程与系统科学 2024-07-09 Filippo Fabiani , Paul J. Goulart

This paper proposes an offline control algorithm, called Recurrent Model Predictive Control (RMPC), to solve large-scale nonlinear finite-horizon optimal control problems. It can be regarded as an explicit solver of traditional Model…

系统与控制 · 电气工程与系统科学 2022-04-11 Zhengyu Liu , Jingliang Duan , Wenxuan Wang , Shengbo Eben Li , Yuming Yin , Ziyu Lin , Bo Cheng

Model Predictive Control (MPC) is a powerful technique to control nonlinear, multi-input multi-output systems subject to input and state constraints. It is now a standard tool for trajectory tracking control of automated vehicles. As such…

系统与控制 · 电气工程与系统科学 2025-08-20 Georg Schildbach , Jasper Pflughaupt

Robots must satisfy safety-critical state and input constraints despite disturbances and model mismatch. We introduce a robust model predictive control (RMPC) formulation that is fast, scalable, and compatible with real-time implementation.…

最优化与控制 · 数学 2025-09-24 Antoine P. Leeman , Johannes Köhler , Melanie N. Zeilinger

We consider nonlinear model predictive control (MPC) with multiple competing cost functions. In each step of the scheme, a multiobjective optimal control problem with a nonlinear system and terminal conditions is solved. We propose an…

最优化与控制 · 数学 2022-07-01 Gabriele Eichfelder , Lars Grüne , Lisa Krügel , Jonas Schießl

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

Model Predictive Control (MPC) can be applied to safety-critical control problems, providing closed-loop safety and performance guarantees. Implementation of MPC controllers requires solving an optimization problem at every sampling…

系统与控制 · 电气工程与系统科学 2025-03-27 Nicolas Chatzikiriakos , Kim P. Wabersich , Felix Berkel , Patricia Pauli , Andrea Iannelli

We develop a tracking model predictive control (MPC) scheme for nonlinear systems using the linearized dynamics at the current state as a prediction model. Under reasonable assumptions on the linearized dynamics, we prove that the proposed…

最优化与控制 · 数学 2022-09-20 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

In this paper, we present a robust adaptive model predictive control (MPC) scheme for linear systems subject to parametric uncertainty and additive disturbances. The proposed approach provides a computationally efficient formulation with…

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

Nonlinear dynamics and safety constraints typically result in a nonlinear programming problem when applying model predictive control to achieve safe output consensus. To avoid the heavy computational burden of solving a nonlinear…

系统与控制 · 电气工程与系统科学 2026-01-21 Chao Wang , Shuyuan Zhang , Lei Wang

In this paper we present a framework for risk-sensitive model predictive control (MPC) of linear systems affected by stochastic multiplicative uncertainty. Our key innovation is to consider a time-consistent, dynamic risk evaluation of the…

最优化与控制 · 数学 2018-04-26 Sumeet Singh , Yin-Lam Chow , Anirudha Majumdar , Marco Pavone

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

We present a 'calculator' for constructing a homogeneous approximation of nonlinear control systems, which is based on the algebraic approach developed by the authors in their previous papers. This approach mainly uses linear algebraic and…

最优化与控制 · 数学 2021-12-01 Grigory Sklyar , Pavel Barkhayev , Svetlana Ignatovich , Viktor Rusakov

This paper proposes a new sampling-based nonlinear model predictive control (MPC) algorithm, with a bound on complexity quadratic in the prediction horizon N and linear in the number of samples. The idea of the proposed algorithm is to use…

系统与控制 · 计算机科学 2017-01-13 R. V. Bobiti , M. Lazar

We present a Reinforcement Learning-based Robust Nonlinear Model Predictive Control (RL-RNMPC) framework for controlling nonlinear systems in the presence of disturbances and uncertainties. An approximate Robust Nonlinear Model Predictive…

系统与控制 · 电气工程与系统科学 2021-04-08 Hossein Nejatbakhsh Esfahani , Arash Bahari Kordabad , Sebastien Gros

In the framework of Model Predictive Control (MPC), the control input is typically computed by solving optimization problems repeatedly online. For general nonlinear systems, the online optimization problems are non-convex and…

最优化与控制 · 数学 2021-03-31 Zheming Wang , Raphaël M. Jungers

Systematic design and verification of advanced control strategies for complex systems under uncertainty largely remains an open problem. Despite the promise of blackbox optimization methods for automated controller tuning, they generally…

系统与控制 · 电气工程与系统科学 2020-11-17 Joel A. Paulson , Ali Mesbah

Model predictive control (MPC) provides a useful means for controlling systems with constraints, but suffers from the computational burden of repeatedly solving an optimization problem in real time. Offline (explicit) solutions for MPC…

系统与控制 · 电气工程与系统科学 2022-09-14 Daniel Tabas , Baosen Zhang

Model predictive control (MPC) is pervasive in research and industry. However, designing the cost function and the constraints of the MPC to maximize closed-loop performance remains an open problem. To achieve optimal tuning, we propose a…

最优化与控制 · 数学 2024-12-02 Riccardo Zuliani , Efe C. Balta , John Lygeros