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A nonlinear MPC framework is presented that is suitable for dynamical systems with sampling times in the (sub)millisecond range and that allows for an efficient implementation on embedded hardware. The algorithm is based on an augmented…

Optimization and Control · Mathematics 2018-12-10 Tobias Englert , Andreas Völz , Felix Mesmer , Sönke Rhein , Knut Graichen

We consider sampled-data Model Predictive Control (MPC) of nonlinear continuous-time control systems. We derive sufficient conditions to guarantee recursive feasibility and asymptotic stability without stabilising costs and/or constraints.…

Optimization and Control · Mathematics 2021-03-03 Willem Esterhuizen , Karl Worthmann , Stefan Streif

The main challenge in controlling hybrid systems arises from having to consider an exponential number of sequences of future modes to make good long-term decisions. Model predictive control (MPC) computes a control action through a…

Optimization and Control · Mathematics 2021-06-09 Sandeep Menta , Joseph Warrington , John Lygeros , Manfred Morari

An MPC controller uses a model of the dynamical system to plan an optimal control strategy for a finite horizon, which makes its performance intrinsically tied to the quality of the model. When faults occur, the compromised model will…

Systems and Control · Electrical Eng. & Systems 2026-03-31 David Laranjinho , Daniel Silvestre

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

This paper proposes an off-line algorithm, called Recurrent Model Predictive Control (RMPC), to solve general nonlinear finite-horizon optimal control problems. Unlike traditional Model Predictive Control (MPC) algorithms, it can make full…

Systems and Control · Electrical Eng. & Systems 2021-02-24 Zhengyu Liu , Jingliang Duan , Wenxuan Wang , Shengbo Eben Li , Yuming Yin , Ziyu Lin , Qi Sun , Bo Cheng

Recent works have demonstrated how Linear Parameter Varying Model Predictive Control (LPV MPC) algorithms are able to control nonlinear systems with precision and reduced computational load. Specifically, these schemes achieve comparable…

Systems and Control · Electrical Eng. & Systems 2023-05-01 Marcelo Menezes Morato , Amir Naspolini , Julio Elias Normey-Rico

Model Predictive Control (MPC) is a classic tool for optimal control of complex, real-world systems. Although it has been successfully applied to a wide range of challenging tasks in robotics, it is fundamentally limited by the prediction…

Robotics · Computer Science 2021-04-08 Nathan Hatch , Byron Boots

This article presents a Visual Servoing Nonlinear Model Predictive Control (NMPC) scheme for autonomously tracking a moving target using multirotor Unmanned Aerial Vehicles (UAVs). The scheme is developed for surveillance and tracking of…

A computationally efficient nonlinear Model Predictive Control (NMPC) algorithm is proposed for safe learning-based control with a system model represented by an incompletely known affine combination of basis functions and subject to…

Optimization and Control · Mathematics 2025-03-19 Johannes Buerger , Mark Cannon

Model predictive control (MPC) has been used widely in power electronics due to its simple concept, fast dynamic response, and good reference tracking. However, it suffers from parametric uncertainties, since it directly relies on the…

Systems and Control · Electrical Eng. & Systems 2022-06-29 Abualkasim Bakeer , Ihab S. Mohamed , Parisa Boodaghi Malidarreh , Intissar Hattabi , Lantao Liu

In this paper, we investigate the problem of Model Predictive Control (MPC) of dynamic systems for high-level specifications described by Signal Temporal Logic (STL) formulae. Recent works show that MPC has the great potential in handling…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Xinyi Yu , Chuwei Wang , Dingran Yuan , Shaoyuan Li , Xiang Yin

This paper introduces an uncertainty compensation-based robust adaptive model predictive control (MPC) framework for linear systems with nonlinear time-varying uncertainties. The framework integrates an L1 adaptive controller to compensate…

Systems and Control · Electrical Eng. & Systems 2026-03-20 Ran Tao , Pan Zhao , Ilya Kolmanovsky , Naira Hovakimyan

This work is focused on optimal control of mechanical compression refrigeration systems. A reduced-order state-space model based on the moving boundary approach is proposed for the canonical cycle, which eases the controller design. The…

Optimization and Control · Mathematics 2024-02-08 G. Bejarano , M. G. Ortega , J. E. Normey-Rico , F. R Rubio

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…

Systems and Control · Electrical Eng. & Systems 2022-04-11 Zhengyu Liu , Jingliang Duan , Wenxuan Wang , Shengbo Eben Li , Yuming Yin , Ziyu Lin , Bo Cheng

In this paper, we present a quasi infinite horizon nonlinear model predictive control (MPC) scheme for tracking of generic reference trajectories. This scheme is applicable to nonlinear systems, which are locally incrementally stabilizable.…

Systems and Control · Electrical Eng. & Systems 2020-03-12 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Many popular approaches in the field of robust model predictive control (MPC) are based on nominal predictions. This paper presents a novel formulation of this class of controller with proven input-to-state stability and robust constraint…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Ignacio Alvarado , Pablo Krupa , Daniel Limon , Teodoro Alamo

The main benefit of model predictive control (MPC) is its ability to steer the system to a given reference without violating the constraints while minimizing some objective. Furthermore, a suitably designed MPC controller guarantees…

Systems and Control · Electrical Eng. & Systems 2024-06-25 Pablo Krupa , Daniel Limon , Teodoro Alamo

For discrete time nonlinear systems satisfying an exponential or finite time controllability assumption, we present an analytical formula for a suboptimality estimate for model predictive control schemes without stabilizing terminal…

Optimization and Control · Mathematics 2011-09-27 Lars Grüne , Jürgen Pannek , Martin Seehafer , Karl Worthmann

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…

Systems and Control · Electrical Eng. & Systems 2021-06-22 Johannes Köhler , Frank Allgöwer
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