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Sequential and terminal constraint feasibility of the model predictive control (MPC) play important roles in ensuring MPC control continuity. This study thus investigates these two properties theoretically using an MPC model for vehicle…

Optimization and Control · Mathematics 2022-06-24 Hanyu Zhang , Lili Du

RBM-MPC is a computationally efficient variant of Model Predictive Control (MPC) in which the Random Batch Method (RBM) is used to speed up the finite-horizon optimal control problems at each iteration. In this paper, stability and…

Optimization and Control · Mathematics 2024-03-08 Daniël Veldman , Alexandra Borkowski , Enrique Zuazua

We present IS-MPC, an intrinsically stable MPC framework for humanoid gait generation which incorporates an explicit stability constraint in the formulation. The proposed method uses as prediction model a dynamically extended LIP where ZMP…

Robotics · Computer Science 2024-12-20 Nicola Scianca , Daniele De Simone , Leonardo Lanari , Giuseppe Oriolo

The Model Predictive Control (MPC) scheme Funnel MPC enables output tracking of smooth reference signals with prescribed error bounds for nonlinear multi-input multi-output systems with stable internal dynamics. Earlier works achieved the…

Optimization and Control · Mathematics 2024-03-12 Thomas Berger , Dario Dennstädt

Model predictive control (MPC) is an optimal control method that predicts the future states of the system being controlled and estimates the optimal control inputs that drive the predicted states to the required reference. The computations…

Systems and Control · Electrical Eng. & Systems 2023-05-05 Eslam Mostafa , Hussein A. Aly , Ahmed Elliethy

This work introduces a formulation of model predictive control (MPC) which adaptively reasons about the complexity of the model based on the task while maintaining feasibility and stability guarantees. Existing MPC implementations often…

Robotics · Computer Science 2024-11-07 Joseph Norby , Ardalan Tajbakhsh , Yanhao Yang , Aaron M. Johnson

In this work we are interested in the mean-field formulation of kinetic models under control actions where the control is formulated through a model predictive control strategy (MPC) with varying horizon. The relation between the (usually…

Optimization and Control · Mathematics 2015-11-30 Michael Herty , Mattia Zanella

We present a nonlinear model predictive control (MPC) scheme for tracking of dynamic target signals. The scheme combines stabilization and dynamic trajectory planning in one layer, thus ensuring constraint satisfaction irrespective of…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

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…

Systems and Control · Electrical Eng. & Systems 2021-05-10 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

We propose a stochastic MPC scheme using an optimization over the initial state for the predicted trajectory. Considering linear discrete-time systems under unbounded additive stochastic disturbances subject to chance constraints, we use…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Henning Schlüter , Frank Allgöwer

We consider nonlinear model predictive control (MPC) schemes without stabilizing terminal conditions, where the model used in the optimization step is generated based on input-output data only. We establish exponential stability for…

Optimization and Control · Mathematics 2026-05-27 Lea Bold , Irene Schimperna , Karl Worthmann , Johannes Köhler

In this work we propose a Model Predictive Control (MPC) formulation that splits constraints in two different types. Motivated by safety considerations, the first type of constraint enforces a control-invariant set, while the second type…

Systems and Control · Electrical Eng. & Systems 2025-11-05 Allan Andre do Nascimento , Han Wang , Antonis Papachristodoulou , Kostas Margellos

In this paper we present a framework for risk-averse model predictive control (MPC) of linear systems affected by multiplicative uncertainty. Our key innovation is to consider time-consistent, dynamic risk metrics as objective functions to…

Optimization and Control · Mathematics 2015-11-24 Yin-Lam Chow , Marco Pavone

In this paper we present a stability proof of model predictive control without stabilizing terminal constraints of cost which are subject to unknown but measurable disturbances. To this end, a relaxed Lyapunov argument on the nominal system…

Optimization and Control · Mathematics 2012-04-17 J. Pannek , M. Gerdts

We show that Funnel MPC, a novel Model Predictive Control (MPC) scheme, allows tracking of smooth reference signals with prescribed performance for nonlinear multi-input multi-output systems of relative degree one with stable internal…

Optimization and Control · Mathematics 2022-03-18 Thomas Berger , Dario Dennstädt , Achim Ilchmann , Karl Worthmann

Common approaches for direct model predictive control (MPC) for current reference tracking in power electronics suffer from the high computational complexity encountered when solving integer optimal control problems over long prediction…

Optimization and Control · Mathematics 2016-06-28 Bartolomeo Stellato , Tobias Geyer , Paul J. Goulart

Model Predictive Control (MPC) is a widely used technique for managing timevarying systems, supported by extensive theoretical analysis. While theoretical studies employing dynamic regret frameworks have established robust performance…

Systems and Control · Electrical Eng. & Systems 2025-02-20 Nhat M. Nguyen

Considering nonlinear processes which are subject to unknown but measurable disturbances, we provide both stability and feasibility proofs for nonlinear model predictive controllers with abstract updates without the use of stabilizing…

Optimization and Control · Mathematics 2013-09-09 J. Pannek , J. Michael , M. Gerdts

This technical report presents a method for designing a constrained output-feedback model predictive controller (MPC) that behaves in the same way as an existing baseline stabilising linear time invariant output-feedback controller when…

Optimization and Control · Mathematics 2011-09-14 Edward N. Hartley , Jan M. Maciejowski

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
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