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Koopman Model Predictive Control (MPC) uses a lifted linear predictor to efficiently handle constrained nonlinear systems. While constraint satisfaction and (practical) asymptotic stability have been studied, explicit guarantees of local…

最优化与控制 · 数学 2025-11-05 Xu Shang , Jorge Cortés , Yang Zheng

In this paper, we provide a stability and performance analysis of model predictive control (MPC) schemes based on finite-tail costs. We study the MPC formulation originally proposed by Magni et al. (2001) wherein the standard terminal…

系统与控制 · 电气工程与系统科学 2021-06-22 Johannes Köhler , Frank Allgöwer

We present a model predictive control (MPC) framework to solve the constrained nonlinear output regulation problem. The main feature of the proposed framework is that the application does not require the solution to classical regulator…

系统与控制 · 电气工程与系统科学 2021-06-02 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

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

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

To provide robustness of distributed model predictive control (DMPC), this work proposes a robust DMPC formulation for discrete-time linear systems subject to unknown-but-bounded disturbances. Taking advantage of the structure of certain…

系统与控制 · 电气工程与系统科学 2021-03-10 Ye Wang , Chris Manzie

Controller design faces a trade-off between robustness and performance, and the reliability of linear controllers has caused many practitioners to focus on the former. However, there is renewed interest in improving system performance to…

最优化与控制 · 数学 2012-08-07 Anil Aswani , Humberto Gonzalez , S. Shankar Sastry , Claire Tomlin

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

This paper is dedicated to the stability analysis of the optimal solutions of a control problem associated with a semilinear elliptic equation. The linear differential operator of the equation is neither monotone nor coercive due to the…

最优化与控制 · 数学 2025-11-20 Eduardo Casas , Alberto Domínguez Corella , Nicolai Jork

We present a framework to design nonlinear robust output feedback model predictive control (MPC) schemes that ensure constraint satisfaction under noisy output measurements and disturbances. We provide novel estimation methods to bound the…

系统与控制 · 电气工程与系统科学 2021-05-10 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Operation at steady state is often not optimal when optimizing over an economic cost objective. In many cases, periodic operation yields better performance. Therefore, we derive asymptotic stability guarantees of an economic model…

最优化与控制 · 数学 2026-04-15 Jonas Mair , Lukas Schwenkel , Matthias A. Müller , Frank Allgöwer

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

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 propose a novel flexible-step model predictive control algorithm for unknown linear time-invariant discrete-time systems. The goal is to asymptotically stabilize the system without relying on a pre-collected dataset that describes its…

最优化与控制 · 数学 2025-10-02 Markus Pietschner , Christian Ebenbauer , Bahman Gharesifard , Raik Suttner

In this paper, we propose a distributed model predictive control (DMPC) scheme for linear time-invariant constrained systems which admit a separable structure. To exploit the merits of distributed computation algorithms, the stabilizing…

最优化与控制 · 数学 2018-03-22 Georgios Darivianakis , Annika Eichler , John Lygeros

This paper presents an uncertainty compensation-based robust adaptive model predictive control (MPC) framework for linear systems with both matched and unmatched nonlinear uncertainties subject to both state and input constraints. In…

系统与控制 · 电气工程与系统科学 2024-09-27 Ran Tao , Pan Zhao , Ilya Kolmanovsky , Naira Hovakimyan

This paper introduces a novel method for robust output-feedback model predictive control (MPC) for a class of nonlinear discrete-time systems. We propose a novel interval-valued predictor which, given an initial estimate of the state,…

系统与控制 · 电气工程与系统科学 2025-04-15 Scott Brown , Mohammad Khajenejad , Aamodh Suresh , Sonia Martinez

In this paper, we present a stabilizing Nonlinear Model Predictive Control (NMPC) scheme tailored for a class of nonholonomic systems with drift, where the acceleration is laterally restrained. Examples include a mobile robot with drifting…

最优化与控制 · 数学 2024-03-08 Huu Thien Nguyen , Fernando A. C. C. Fontes , Ionela Prodan

It is a well known fact that finite time optimal controllers, such as MPC does not necessarily result in closed loop stable systems. Within the MPC community it is common practice to add a final state constraint and/or a final state penalty…

最优化与控制 · 数学 2016-04-05 Daniel Simon , Johan Löfberg

This paper presents a framework for bounding the approximation error in imitation model predictive controllers utilizing neural networks. Leveraging the Lipschitz properties of these neural networks, we derive a bound that guides dataset…

系统与控制 · 电气工程与系统科学 2026-03-27 Hendrik Alsmeier , Lukas Theiner , Anton Savchenko , Ali Mesbah , Rolf Findeisen