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A new adaptive predictive controller for constrained linear systems is presented. The main feature of the proposed controller is the partition of the input in two components. The first part is used to persistently excite the system, in…

Systems and Control · Computer Science 2018-04-23 Bernardo A. Hernandez , Paul A. Trodden

Handling uncertainty in model predictive control comes with various challenges, especially when considering state constraints under uncertainty. Most methods focus on either the conservative approach of robustly accounting for uncertainty…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Michael Fink , Tim Brüdigam , Dirk Wollherr , Marion Leibold

In this paper, we investigate system theoretic properties of transient average constrained economic model predictive control (MPC) without terminal constraints. We show that the optimal open-loop solution passes by the optimal steady-state…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Mario Rosenfelder , Johannes Köhler , Frank Allgöwer

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

This paper addresses the problem of robust control of a linear discrete-time system subject to bounded disturbances and to measurement and control budget constraints. Using Q-parameterization and a polytope containment method, we prove that…

Optimization and Control · Mathematics 2021-09-23 Antoine Aspeel , Kwesi Rutledge , Raphaël M. Jungers , Benoit Macq , Necmiye Özay

Model predictive control (MPC) for uncertain systems in the presence of hard constraints on state and input is a non-trivial problem, and the challenge is increased manyfold in the absence of state measurements. In this paper, we propose an…

Systems and Control · Electrical Eng. & Systems 2023-01-11 Anchita Dey , Abhishek Dhar , Shubhendu Bhasin

For nonlinear discrete time systems satisfying a controllability condition, we present a stability condition for model predictive control without stabilizing terminal constraints or costs. The condition is given in terms of an analytical…

Optimization and Control · Mathematics 2012-04-02 Lars Grüne , Jürgen Pannek , Martin Seehafer , Karl Worthmann

When we rely on deep-learned models for robotic perception, we must recognize that these models may behave unreliably on inputs dissimilar from the training data, compromising the closed-loop system's safety. This raises fundamental…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Rohan Sinha , Edward Schmerling , Marco Pavone

In distributed model predictive control (MPC), the control input at each sampling time is computed by solving a large-scale optimal control problem (OCP) over a finite horizon using distributed algorithms. Typically, such algorithms require…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Giuseppe Belgioioso , Dominic Liao-McPherson , Mathias Hudoba de Badyn , Nicolas Pelzmann , John Lygeros , Florian Dörfler

Model predictive control (MPC) of hybrid dynamical systems is challenging because the associated optimization problem is nonsmooth and the resulting feedback law is discontinuous. This paper develops real-time MPC algorithms for nonlinear…

Optimization and Control · Mathematics 2026-04-21 Armin Nurkanović , Anton Pozharskiy , Moritz Diehl

Real-world control applications in complex and uncertain environments require adaptability to handle model uncertainties and robustness against disturbances. This paper presents an online, output-feedback, critic-only, model-based…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Tochukwu Elijah Ogri , Zachary I. Bell , Rushikesh Kamalapurkar

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…

Optimization and Control · Mathematics 2025-10-02 Markus Pietschner , Christian Ebenbauer , Bahman Gharesifard , Raik Suttner

In this paper, a novel online, output-feedback, critic-only, model-based reinforcement learning framework is developed for safety-critical control systems operating in complex environments. The developed framework ensures system stability…

Systems and Control · Electrical Eng. & Systems 2024-06-28 Tochukwu Elijah Ogri , Muzaffar Qureshi , Zachary I. Bell , Rushikesh Kamalapurkar

We propose a stochastic model predictive control (MPC) framework for linear systems subject to joint-in-time chance constraints under unknown disturbance distributions. Unlike existing approaches that rely on parametric or Gaussian…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Lukas Vogel , Andrea Carron , Eleftherios E. Vlahakis , Dimos V. Dimarogonas

Model Predictive Control (MPC) can efficiently control constrained systems in real-time applications. MPC feedback law for a linear system with linear inequality constraints can be explicitly computed off-line, which results in an off-line…

Systems and Control · Computer Science 2016-06-13 Andrew Knyazev , Peizhen Zhu , Stefano Di Cairano

We propose a robust model predictive control (MPC) method for discrete-time linear systems with polytopic model uncertainty and additive disturbances. Optimizing over linear time-varying (LTV) state feedback controllers has been…

Systems and Control · Electrical Eng. & Systems 2023-09-28 Shaoru Chen , Victor M. Preciado , Manfred Morari , Nikolai Matni

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

This paper is concerned with the design of cooperative distributed Model Predictive Control (MPC) for linear systems. Motivated by the special structure of the distributed models in some existing literature, we propose to apply a state…

Systems and Control · Computer Science 2017-06-20 He Kong , Stefano Longo , Gabriele Pannocchia , Efstathios Siampis , Lilantha Samaranayake

This paper presents a novel approach to the joint optimization of job scheduling and data allocation in grid computing environments. We formulate this joint optimization problem as a mixed integer quadratically constrained program. To…

This paper delves into the challenges posed by the increasing complexity of modern control systems, specifically focusing on bilinear systems, a prevalent subclass of non-linear systems characterized by state dynamics influenced by the…

Systems and Control · Electrical Eng. & Systems 2025-05-22 Md Nur-A-Adam Dony
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