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This paper studies economic model predictive Control (EMPC) schemes, where the stage cost depends only on control inputs. Such problems arise in applications like water distribution networks and differ from standard EMPC since multiple…

Optimization and Control · Mathematics 2026-04-28 Alireza Arastou , Ye Wang , Erik Weyer

This paper proposes a Lyapunov-based economic MPC scheme for nonlinear sytems with non-monotonic Lyapunov functions. Relaxed Lyapunov-based constraints are used in the MPC formulation to improve the economic performance. These constraints…

Systems and Control · Computer Science 2017-07-18 Zheming Wang , Guoqiang Hu

In this work, we study economic model predictive control (MPC) in situations where the optimal operating behavior is periodic. In such a setting, the performance of a standard economic MPC scheme without terminal conditions can generally be…

Systems and Control · Electrical Eng. & Systems 2024-01-09 Lukas Schwenkel , Alexander Hadorn , Matthias A. Müller , Frank Allgöwer

Model Predictive Control (MPC) is well understood in the deterministic setting, yet rigorous stability and performance guarantees for stochastic MPC remain limited to the consideration of terminal constraints and penalties. In contrast,…

Optimization and Control · Mathematics 2025-10-24 Jonas Schießl , Hannah Selder , Ruchuan Ou , Michael Heinrich Baumann , Timm Faulwasser , Lars Grüne

With a growing interest in data-driven control techniques, Model Predictive Control (MPC) provides an opportunity to exploit the surplus of data reliably, particularly while taking safety and stability into account. In many real-world and…

Artificial Intelligence · Computer Science 2021-06-04 Mayank Mittal , Marco Gallieri , Alessio Quaglino , Seyed Sina Mirrazavi Salehian , Jan Koutník

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…

Systems and Control · Electrical Eng. & Systems 2026-01-16 Maximilian Degner , Raffaele Soloperto , Melanie N. Zeilinger , John Lygeros , Johannes Köhler

Economic Model Predictive Control (MPC) dissipativity theory is central to discussing the stability of policies resulting from minimizing economic stage costs. In its current form, the dissipativity theory for economic MPC applies to…

Systems and Control · Electrical Eng. & Systems 2022-07-25 Sébastien Gros , Mario Zanon

We present a novel nonlinear model predictive control (MPC) scheme with relaxed stability criteria, based on the idea of generalized discrete-time control Lyapunov functions. These functions need to satisfy an average descent over a finite…

Optimization and Control · Mathematics 2024-04-11 Annika Fürnsinn , Christian Ebenbauer , Bahman Gharesifard

At the forefront of control techniques is Model Predictive Control (MPC). While MPCs are effective, their requisite to recompute an optimal control given a new state leads to sparse response to the system and may make their implementation…

Systems and Control · Electrical Eng. & Systems 2024-10-22 Josue N. Rivera , Jianqi Ruan , XiaoLin Xu , Shuting Yang , Dengfeng Sun , Neera Jain

We propose a data-driven tracking model predictive control (MPC) scheme to control unknown discrete-time linear time-invariant systems. The scheme uses a purely data-driven system parametrization to predict future trajectories based on…

Systems and Control · Electrical Eng. & Systems 2021-04-19 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

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…

Optimization and Control · Mathematics 2023-12-13 Thomas Berger , Dario Dennstädt , Lukas Lanza , Karl Worthmann

The problem of controlling hybrid dynamical systems using model predictive control (MPC) is formulated and sufficient conditions for asymptotic stability of a set are provided. Hybrid dynamical systems are modeled in terms of hybrid…

Optimization and Control · Mathematics 2026-04-27 Ricardo G. Sanfelice , Berk Altin

The trade-off between optimality and complexity has been one of the most important challenges in the field of robust Model Predictive Control (MPC). To address the challenge, we propose a flexible robust MPC scheme by synergizing the…

Systems and Control · Electrical Eng. & Systems 2021-03-25 Sankaranarayanan Subramanian , Sergio Lucia , Radoslav Paulen , Sebastian Engell

Periodic dynamical systems, distinguished by their repetitive behavior over time, are prevalent across various engineering disciplines. In numerous applications, particularly within industrial contexts, the implementation of model…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Jose A. Borja-Conde , Juan M. Nadales , Filiberto Fele , Daniel Limon

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…

Optimization and Control · Mathematics 2022-09-20 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Markov Decision Processes (MDPs) offer a fairly generic and powerful framework to discuss the notion of optimal policies for dynamic systems, in particular when the dynamics are stochastic. However, computing the optimal policy of an MDP…

Systems and Control · Electrical Eng. & Systems 2024-07-24 Dirk Reinhardt , Akhil S. Anand , Shambhuraj Sawant , Sebastien Gros

This paper presents an adaptive horizon multi-stage model-predictive control (MPC) algorithm. It establishes appropriate criteria for recursive feasibility and robust stability using the theory of input-to-state practical stability (ISpS).…

Optimization and Control · Mathematics 2023-06-23 Zawadi Mdoe , Dinesh Krishnamoorthy , Johannes Jäschke

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…

Systems and Control · Electrical Eng. & Systems 2024-09-11 Maximilian Degner , Raffaele Soloperto , Melanie N. Zeilinger , John Lygeros , Johannes Köhler

In this paper, we present a nonlinear robust model predictive control (MPC) framework for general (state and input dependent) disturbances. This approach uses an online constructed tube in order to tighten the nominal (state and input)…

Systems and Control · Electrical Eng. & Systems 2020-06-05 Johannes Köhler , Raffaele Soloperto , Matthias A. Müller , Frank Allgöwer

Model Predictive Control (MPC) is a powerful control strategy; however, its reliance on online optimization poses significant challenges for implementation on systems with limited computational resources. One possible approach to address…

Optimization and Control · Mathematics 2025-02-19 Hassan Jafari Ozoumchelooei , Mehdi Hosseinzadeh
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