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This article presents an identification methodology to capture general relationships, with application to piecewise nonlinear approximations of model predictive control for constrained (non)linear systems. The mathematical formulation…

Optimization and Control · Mathematics 2017-01-06 Van-Vuong Trinh , Mazen Alamir , Patrick Bonnay

This paper presents a distributed stochastic model predictive control (SMPC) approach for large-scale linear systems with private and common uncertainties in a plug-and-play framework. Using the so-called scenario approach, the centralized…

Optimization and Control · Mathematics 2019-01-09 V. Rostampour , T. Keviczky

A novel decomposition scheme to solve parametric non-convex programs as they arise in Nonlinear Model Predictive Control (NMPC) is presented. It consists of a fixed number of alternating proximal gradient steps and a dual update per time…

Optimization and Control · Mathematics 2014-12-25 Jean-Hubert Hours , Colin N. Jones

This study addresses the stochastic Model Predictive Control (MPC) problem for linear time-invariant systems subjected to unknown disturbance distributions. By leveraging the most recent disturbance data, we construct a set of distributions…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Xu Chen , Lorenz Dörschel

We propose a data-driven Model Predictive Control (MPC) framework that employs a transformer encoder to generate multi-step predictions. To handle the nonconvex attention mechanism, we derive difference of convex (DC) representations of the…

Optimization and Control · Mathematics 2026-05-15 Xingxiao Chen , Mark Cannon

Mixed-integer model predictive control (MI-MPC) requires the solution of a mixed-integer quadratic program (MIQP) at each sampling instant under strict timing constraints, where part of the state and control variables can only assume a…

Optimization and Control · Mathematics 2019-03-22 Pedro Hespanhol , Rien Quirynen , Stefano Di Cairano

Mixed integer Model Predictive Control (MPC) problems arise in the operation of systems where discrete and continuous decisions must be taken simultaneously to compensate for disturbances. The efficient solution of mixed integer MPC…

Optimization and Control · Mathematics 2024-04-09 Ilias Mitrai , Prodromos Daoutidis

In this paper we propose an efficient distributed algorithm for solving loosely coupled convex optimization problems. The algorithm is based on a primal-dual interior-point method in which we use the alternating direction method of…

Optimization and Control · Mathematics 2015-02-10 Mariette Annergren , Sina Khoshfetrat Pakazad , Anders Hansson , Bo Wahlberg

Vehicle platooning has been shown to be quite fruitful in the transportation industry to enhance fuel economy, road throughput, and driving comfort. Model Predictive Control (MPC) is widely used in literature for platoon control to achieve…

Optimization and Control · Mathematics 2021-11-02 Mohammad Hossein Basiri , Benyamin Ghojogh , Nasser L. Azad , Sebastian Fischmeister , Fakhri Karray , Mark Crowley

This paper focuses on the design of an asynchronous dual solver suitable for embedded model predictive control (MPC) applications. The proposed solver relies on a state-of-the-art variance reduction (VR) scheme, previously used in the…

Optimization and Control · Mathematics 2016-09-20 Laura Ferranti , Ye Pu , Colin N. Jones , Tamas Keviczky

We propose a computationally efficient Learning Model Predictive Control (LMPC) scheme for constrained optimal control of a class of nonlinear systems where the state and input can be reconstructed using lifted outputs. For the considered…

Optimization and Control · Mathematics 2021-01-19 Siddharth H. Nair , Ugo Rosolia , Francesco Borrelli

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 · Electrical Eng. & Systems 2019-12-11 Monimoy Bujarbaruah , Charlott Vallon

Model Predictive Control (MPC) is a computationally demanding control technique that allows dealing with multiple-input and multiple-output systems, while handling constraints in a systematic way. The necessity of solving an optimization…

Systems and Control · Computer Science 2021-12-16 Bulat Khusainov , Eric C. Kerrigan , George A. Constantinides

We consider the Chance Constrained Model Predictive Control problem for polynomial systems subject to disturbances. In this problem, we aim at finding optimal control input for given disturbed dynamical system to minimize a given cost…

Optimization and Control · Mathematics 2016-05-04 Ashkan Jasour , Constantino Lagoa

Model Predictive Control (MPC) is a well-established approach to solve infinite horizon optimal control problems. Since optimization over an infinite time horizon is generally infeasible, MPC determines a suboptimal feedback control by…

Optimization and Control · Mathematics 2022-10-26 Saskia Dietze , Martin A. Grepl

This paper investigates the control of nonlinear systems using a piecewise linear approximation framework. The proposed approach combines a PID controller with locally linearized models obtained by partitioning the nonlinear function into…

Optimization and Control · Mathematics 2026-04-14 Robert Vrabel

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

In this paper we propose a stochastic model predictive control (MPC) algorithm for linear discrete-time systems affected by possibly unbounded additive disturbances and subject to probabilistic constraints. Constraints are treated in…

Systems and Control · Computer Science 2019-02-15 Lukas Hewing , Melanie N. Zeilinger

We present a Model Predictive Control (MPC) algorithm for energy management in aircraft with hybrid electric propulsion systems consisting of gas turbine and electric motor components. Series and parallel configurations are considered. By…

Optimization and Control · Mathematics 2022-06-13 Martin Doff-Sotta , Mark Cannon , Marko Bacic

In this paper, a distributed Model Predictive Control strategy is developed for a multi zone building plant with disturbances. The control objective is to maintain each zones temperature at a specified level with the minimum cost of the…

Systems and Control · Computer Science 2019-02-28 Roja Eini , Sherif Abdelwahed
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