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This article gives an overview of the developments in controlled diffusion processes, emphasizing key results regarding existence of optimal controls and their characterization via dynamic programming for a variety of cost criteria and…

Probability · Mathematics 2007-05-23 Vivek S. Borkar

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

The main objective of tracking control is to steer the tracking error, that is the difference between the reference and the output, to zero while the plant's operation limits are satisfied. This requires that some assumptions on the…

Optimization and Control · Mathematics 2024-10-02 Daniel Limon , Antonio Ferramosca , Ignacio Alvarado , Teodoro Alamo

This brief introduction to Model Predictive Control specifically addresses stochastic Model Predictive Control, where probabilistic constraints are considered. A simple linear system subject to uncertainty serves as an example. The Matlab…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Tim Brüdigam

Tight performance specifications in combination with operational constraints make model predictive control (MPC) the method of choice in various industries. As the performance of an MPC controller depends on a sufficiently accurate…

Systems and Control · Electrical Eng. & Systems 2020-06-09 Kim P. Wabersich , Melanie N. Zeilinger

Model predictive control (MPC) is a powerful control method that allows to directly include state and input constraints into the controller design. However, errors in the model, e.g., caused by unknown disturbances, can lead to constraint…

Systems and Control · Electrical Eng. & Systems 2025-12-08 Felix Brändle , Frank Allgöwer

In this chapter, we present some recent progresses on the numerics for stochastic distributed parameter control systems, based on the \emph{finite transposition method} introduced in our previous works. We first explain how to reduce the…

Optimization and Control · Mathematics 2021-04-08 Qi Lü , Penghui Wang , Yanqing Wang , Xu Zhang

Solving complex optimal control problems have confronted computational challenges for a long time. Recent advances in machine learning have provided us with new opportunities to address these challenges. This paper takes model predictive…

Optimization and Control · Mathematics 2022-07-21 Weinan E , Jiequn Han , Jihao Long

Autocorrelations in MCMC chains increase the variance of the estimators they produce. We propose the occlusion process to mitigate this problem. It is a process that sits upon an existing MCMC sampler, and occasionally replaces its samples…

Computation · Statistics 2024-11-20 Max Hird , Florian Maire

Performance variability is an important measure for a reliable high performance computing (HPC) system. Performance variability is affected by complicated interactions between numerous factors, such as CPU frequency, the number of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-16 Li Xu , Thomas Lux , Tyler Chang , Bo Li , Yili Hong , Layne Watson , Ali Butt , Danfeng Yao , Kirk Cameron

Variance reduction techniques have been shown by others in the past to be a useful tool to reduce variance in Simulation studies. However, their application and success in the past has been mainly domain specific, with relatively little…

Computational Engineering, Finance, and Science · Computer Science 2013-06-03 Adrian Adewunmi , Uwe Aickelin

This paper studies the problem of distributionally robust model predictive control (MPC) using total variation distance ambiguity sets. For a discrete-time linear system with additive disturbances, we provide a conditional value-at-risk…

Systems and Control · Electrical Eng. & Systems 2022-06-27 Anushri Dixit , Mohamadreza Ahmadi , Joel W. Burdick

While Robust Model Predictive Control considers the worst-case system uncertainty, Stochastic Model Predictive Control, using chance constraints, provides less conservative solutions by allowing a certain constraint violation probability…

Systems and Control · Electrical Eng. & Systems 2021-06-17 Tim Brüdigam , Victor Gaßmann , Dirk Wollherr , Marion Leibold

In this article an SPC case study is presented. It consists of monitoring a manufacturing process used for different products of similar kind. So far, each of these products is monitored individually. However, if there is e.g. a quality…

Applications · Statistics 2018-01-08 Thomas Muehlenstaedt

This paper presents a hierarchical control scheme for interconnected linear systems. At the higher layer of the control structure a robust centralized Model Predictive Control (MPC) algorithm based on a reduced order dynamic model of the…

Systems and Control · Computer Science 2017-05-25 Marcello Farina , Xinglong Zhang , Riccardo Scattolini

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

This note is addressed to giving a short introduction to control theory of stochastic systems, governed by stochastic differential equations in both finite and infinite dimensions. We will mainly explain the new phenomenon and difficulties…

Optimization and Control · Mathematics 2016-12-09 Qi Lu , Xu Zhang

We propose a model predictive control (MPC) scheme with sampled-data input which ensures output-reference tracking within prescribed error bounds for relative-degree-one systems. Hereby, we explicitly deduce bounds on the required maximal…

Optimization and Control · Mathematics 2024-03-28 Dario Dennstädt , Lukas Lanza , Karl Worthmann

This article proposes a method for generator controller tuning in a power system affected by stochastic loads. The method uses the Analysis of Variance to detect the controllers with significant effect over the quality of the system…

Systems and Control · Electrical Eng. & Systems 2020-11-03 Frank A. Ibarra , Daniel Turizo , César Orozco-Henao , Javier Guerrero

This note introduces the method of cross-conformal prediction, which is a hybrid of the methods of inductive conformal prediction and cross-validation, and studies its validity and predictive efficiency empirically.

Machine Learning · Statistics 2012-08-06 Vladimir Vovk