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Engineered cyberphysical systems are growing increasingly large and complex. These systems require scalable controllers that robustly satisfy state and input constraints in the presence of additive noise -- such controllers should also be…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Carmen Amo Alonso , Jing Shuang Li , Nikolai Matni , James Anderson

Model Predictive Control (MPC) has established itself as the primary methodology for constrained control, enabling autonomy across diverse applications. While model fidelity is crucial in MPC, solving the corresponding optimization problem…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Lukas Schroth , Daniel Morton , Amon Lahr , Daniele Gammelli , Andrea Carron , Marco Pavone

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…

Optimization and Control · Mathematics 2023-03-09 Xiaonan Lu , Mark Cannon

Modified Patankar (MP) schemes are conservative, linear implicit and unconditionally positivity preserving time-integration schemes constructed for production-destruction systems. For such schemes, a classical stability analysis does not…

Numerical Analysis · Mathematics 2022-11-17 Thomas Izgin , Philipp Öffner , Davide Torlo

Model predictive control (MPC) is an effective approach to control multivariable dynamic systems with constraints. Most real dynamic models are however affected by plant-model mismatch and process uncertainties, which can lead to…

Systems and Control · Electrical Eng. & Systems 2022-11-29 Zhengang Zhong , Ehecatl Antonio del Rio-Chanona , Panagiotis Petsagkourakis

The theoretical unification of Nonlinear Model Predictive Control (NMPC) with Control Lyapunov Functions (CLFs) provides a framework for achieving optimal control performance while ensuring stability guarantees. In this paper we present the…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Ruben Grandia , Andrew J. Taylor , Andrew Singletary , Marco Hutter , Aaron D. Ames

Stability under model predictive control (MPC) schemes is frequently ensured by terminal ingredients. Employing a (control) Lyapunov function as the terminal cost constitutes a common choice. Learning-based methods may be used to construct…

Systems and Control · Electrical Eng. & Systems 2022-12-02 Francisco Moreno-Mora , Lukas Beckenbach , Stefan Streif

This paper investigates adaptive model predictive control (MPC) for a class of constrained linear systems with unknown model parameters. This is also posed as the dual control problem consisting of system identification and regulation. We…

Optimization and Control · Mathematics 2020-11-24 Kunwu Zhang , Yang Shi

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

Safe motion planning in uncertain, time-varying environments is challenging because the safe region can change unpredictably across planning steps, often causing a loss of recursive feasibility. In this work, we present a Probabilistic…

Systems and Control · Electrical Eng. & Systems 2026-05-20 Hyeontae Sung , Hyeongchan Ham , Junyoung Park , Kai Ren , Heejin Ahn

This article is concerned with stability analysis and stabilization of randomly switched nonlinear systems. These systems may be regarded as piecewise deterministic stochastic systems: the discrete switches are triggered by a stochastic…

Optimization and Control · Mathematics 2010-09-08 Debasish Chatterjee , Daniel Liberzon

Tube-based Model Predictive Control (MPC) is a widely adopted robust control framework for constrained linear systems under additive disturbance. The paper is focused on reducing the numerical complexity associated with the tube…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Sabin Diaconescu , Florin Stoican , Bogdan D. Ciubotaru , Sorin Olaru

This paper proposes an adaptive stochastic Model Predictive Control (MPC) strategy for stable linear time invariant systems in the presence of bounded disturbances. We consider multi-input multi-output systems that can be expressed by a…

Systems and Control · Computer Science 2018-12-03 Monimoy Bujarbaruah , Xiaojing Zhang , Francesco Borrelli

In this paper, we revisit the computation of controlled invariant sets for linear discrete-time systems through a trajectory-based viewpoint. We begin by introducing the notion of convex feasible points, which provides a new…

Optimization and Control · Mathematics 2026-05-06 Emmanuel Junior Wafo Wembe , Adnane Saoud

We propose a distributed model predictive control (MPC) framework for coordinating heterogeneous, nonlinear multi-agent systems under individual and coupling constraints. The cooperative task is encoded as a shared objective function…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Matthias Köhler , Matthias A. Müller , Frank Allgöwer

This paper discusses a novel probabilistic approach for the design of robust model predictive control (MPC) laws for discrete-time linear systems affected by parametric uncertainty and additive disturbances. The proposed technique is based…

Systems and Control · Computer Science 2013-07-16 Giuseppe C. Calafiore , Lorenzo Fagiano

In this paper, a safe and learning-based control framework for model predictive control (MPC) is proposed to optimize nonlinear systems with a non-differentiable objective function under uncertain environmental disturbances. The control…

Robotics · Computer Science 2022-02-22 Lei Zheng , Rui Yang , Zhixuan Wu , Jiesen Pan , Hui Cheng

We propose a new model predictive control (MPC) approach which is completely based on an observer for the state system. For this, we show semiglobally practically asymptotic stability of the closed loop for an abstract observer and…

Optimization and Control · Mathematics 2011-05-18 Jürgen Pannek , Marcus von Lossow

Hyperexponential stability is investigated for dynamical systems with the use of both, explicit and implicit, Lyapunov function methods. A nonlinear hyperexponential control is designed for stabilizing linear systems. The tuning procedure…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Konstantin Zimenko , Denis Efimov , Andrey Polyakov

This note extends a recently proposed algorithm for model identification and robust MPC of asymptotically stable, linear time-invariant systems subject to process and measurement disturbances. Independent output predictors for different…

Systems and Control · Electrical Eng. & Systems 2021-03-02 Enrico Terzi , Lorenzo Fagiano , Marcello Farina , Riccardo Scattolini