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We propose a novel robust Model Predictive Control (MPC) scheme for nonlinear multi-input multi-output systems of relative degree one with stable internal dynamics. The proposed algorithm is a combination of funnel MPC, i.e., MPC with a…

最优化与控制 · 数学 2023-12-13 Thomas Berger , Dario Dennstädt , Lukas Lanza , Karl Worthmann

Contraction-Based Nonlinear Model Predictive Control (NMPC) formulations are attractive because of the generally short prediction horizons they require and the needless use of terminal set computation that are commonly necessary to…

系统与控制 · 计算机科学 2016-06-03 Mazen Alamir

We present the first general stability results for nonlinear offset-free model predictive control (MPC). Despite over twenty years of active research, the offset-free MPC literature has not shaken the assumption of closed-loop stability for…

系统与控制 · 电气工程与系统科学 2025-09-03 Steven J. Kuntz , James B. Rawlings

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

This paper proposes a novel hierarchical model predictive control (MPC) strategy that guarantees overall system stability. This method differs significantly from previous approaches to guaranteeing overall stability, which have relied upon…

最优化与控制 · 数学 2013-09-24 Chris Vermillion , Amor Menezes , Ilya Kolmanovsky

Funnel MPC, a novel Model Predictive Control (MPC) scheme, allows guaranteed output tracking of smooth reference signals with prescribed error bounds for nonlinear multi-input multi-output systems. To this end, the stage cost resembles the…

最优化与控制 · 数学 2022-03-01 Dario Dennstädt

This paper presents a complementary approach to establish stability of finite receding horizon control with a terminal cost. First a new augmented stage cost is defined by rotating the terminal cost. Then a one-step optimisation problem is…

最优化与控制 · 数学 2023-01-31 Wen-Hua Chen , Yunda Yan

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

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

Inexact methods for model predictive control (MPC), such as real-time iterative schemes or time-distributed optimization, alleviate the computational burden of exact MPC by providing suboptimal solutions. While the asymptotic stability of…

系统与控制 · 电气工程与系统科学 2023-11-21 Aren Karapetyan , Efe C. Balta , Andrea Iannelli , John Lygeros

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

Model predictive control (MPC) is a powerful tool for controlling complex nonlinear systems under constraints, but often struggles with model uncertainties and the design of suitable cost functions. To address these challenges, we discuss…

系统与控制 · 电气工程与系统科学 2024-10-08 Sebastian Hirt , Andreas Höhl , Johannes Pohlodek , Joachim Schaeffer , Maik Pfefferkorn , Richard D. Braatz , Rolf Findeisen

We consider the problem of optimizing the economic performance of nonlinear constrained systems subject to uncertain time-varying parameters and bounded disturbances. In particular, we propose an adaptive economic model predictive control…

系统与控制 · 电气工程与系统科学 2026-01-16 Maximilian Degner , Raffaele Soloperto , Melanie N. Zeilinger , John Lygeros , Johannes Köhler

This paper presents a stabilizing tube-based MPC synthesis for LPV systems. We employ terminal constraint sets which are required to be controlled periodically contractive. Periodically (or finite-step) contractive sets are easier to…

系统与控制 · 计算机科学 2017-06-27 Jurre Hanema , Mircea Lazar , Roland Tóth

This paper studies the optimal control problem for discrete-time nonlinear systems and an approximate dynamic programming-based Model Predictive Control (MPC) scheme is proposed for minimizing a quadratic performance measure. In the…

系统与控制 · 电气工程与系统科学 2023-12-12 Keerthi Chacko , Midhun T. Augustine , S. Janardhanan , Deepak U. Patil , I. N. Kar

This paper presents a data-driven Model Predictive Control (MPC) for energy-efficient urban road driving for connected, automated vehicles. The proposed MPC aims to minimize total energy consumption by controlling the vehicle's longitudinal…

系统与控制 · 电气工程与系统科学 2024-07-30 Eunhyek Joa , Eric Yongkeun Choi , Francesco Borrelli

We propose a Model Predictive Control (MPC) with a single-step prediction horizon to approximate the solution of infinite horizon optimal control problems with the expected sum of convex stage costs for constrained linear uncertain systems.…

最优化与控制 · 数学 2025-04-24 Eunhyek Joa , Francesco Borrelli

We propose a robust adaptive Model Predictive Control (MPC) strategy with online set-based estimation for constrained linear systems with unknown parameters and bounded disturbances. A sample-based test applied to predicted trajectories is…

最优化与控制 · 数学 2023-03-09 Xiaonan Lu , Mark Cannon

Chance constraints are widely used in stochastic model predictive control (MPC) to enforce probabilistic state and input constraints in the presence of unbounded disturbances. However, they only restrict violation probabilities and do not…

最优化与控制 · 数学 2026-04-14 Jonas Schießl , Ruchuan Ou , Michael H. Baumann , Timm Faulwasser , Lars Grüne

Model predictive control is a control approach that minimizes a stage cost over a predicted system trajectory based on a model of the system and is capable of handling state and input constraints. For uncertain models, robust or adaptive…

系统与控制 · 电气工程与系统科学 2022-06-29 Francisco Moreno-Mora , Lukas Beckenbach , Stefan Streif