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We present a stochastic model predictive control framework for nonlinear systems subject to unbounded process noise with closed-loop guarantees. First, we provide a conceptual shrinking-horizon framework that utilizes general probabilistic…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Johannes Köhler , Melanie N. Zeilinger

In recent years, the distributed-observer-based distributed control law has shown powerful ability to arbitrarily approximate the centralized control performance. However, the traditional distributed observer requires each local observer to…

Systems and Control · Electrical Eng. & Systems 2025-10-31 Haotian Xu , Shuai Liu , Ling Shi

The knowledge of the states of a vehicle is a necessity to perform proper planning and control. These quantities are usually accessible through measurements. Control theory brings extremely useful methods -- observers -- to deal with…

Robotics · Computer Science 2023-04-03 Agapius Bou Ghosn , Philip Polack , Arnaud de La Fortelle

In this work we provide a computationally tractable procedure for designing affine control policies, applied to constrained, discrete-time, partially observable, linear systems subject to set bounded disturbances, stochastic noise and…

Optimization and Control · Mathematics 2018-11-27 Georgios Kotsalis , Guanghui Lan

We consider optimal signalling and control of discrete-time nonlinear partially observable stochastic systems in state space form. In the first part of the paper, we characterize the operational {\it control-coding capacity}, $C_{FB}$ in…

Information Theory · Computer Science 2024-07-29 Charalambos D. Charalambous , Stelios Louka

We consider the controllability of large-scale linear networked dynamical systems when complete knowledge of network structure is unavailable and knowledge is limited to coarse summaries. We provide conditions under which average…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Nafiseh Ghoroghchian , Rajasekhar Anguluri , Gautam Dasarathy , Stark C. Draper

We propose automated techniques for the verification and control of probabilistic real-time systems that are only partially observable. To formally model such systems, we define an extension of probabilistic timed automata in which local…

Logic in Computer Science · Computer Science 2015-06-24 Gethin Norman , David Parker , Xueyi Zou

In the context of filtering chaotic dynamical systems it is well-known that partial observations, if sufficiently informative, can be used to control the inherent uncertainty due to chaos. The purpose of this paper is to investigate, both…

Dynamical Systems · Mathematics 2016-08-30 K. J. H. Law , D. Sanz-Alonso , A. Shukla , A. M. Stuart

This paper considers the structure of uncertain linear systems building on concepts of robust unobservability and possible controllability which were introduced in previous papers. The paper presents a new geometric characterization of the…

Systems and Control · Computer Science 2013-04-11 Ian R. Petersen

The use of Kalman filtering, as well as its nonlinear extensions, for the estimation of system variables and parameters has played a pivotal role in many fields of scientific inquiry where observations of the system are restricted to a…

Dynamical Systems · Mathematics 2017-02-15 Joseph Arthur , Adam Attarian , Franz Hamilton , Hien Tran

This paper presents a joint optimisation framework for optimal estimation and stochastic optimal control with imperfect information. It provides a estimation and control scheme that can be decomposed into a classical optimal estimation step…

Optimization and Control · Mathematics 2023-03-27 Emilien Flayac , Karim Dahia , Bruno Hérissé , Frédéric Jean

This paper addresses the synthesis of interval observers for partially unknown nonlinear systems subject to bounded noise, aiming to simultaneously estimate system states and learn a model of the unknown dynamics. Our approach leverages…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Mohammad Khajenejad , Zeyuan Jin

In this paper, a sampling-based Stochastic Model Predictive Control algorithm is proposed for discrete-time linear systems subject to both parametric uncertainties and additive disturbances. One of the main drivers for the development of…

Motivated by vision-based control of autonomous vehicles, we consider the problem of controlling a known linear dynamical system for which partial state information, such as vehicle position, is extracted from complex and nonlinear data,…

Optimization and Control · Mathematics 2019-12-24 Sarah Dean , Nikolai Matni , Benjamin Recht , Vickie Ye

We investigate a control technique for spatially extended systems combining spatial filtering with a previously studied form of time-delay feedback. The scheme is naturally suited to real-time control of optical systems. We apply the…

We seek methods to model, control, and analyze robot teams performing environmental monitoring tasks. During environmental monitoring, the goal is to have teams of robots collect various data throughout a fixed region for extended periods…

Robotics · Computer Science 2022-12-23 Victoria Edwards , Thales C. Silva , M. Ani Hsieh

Learning or identifying dynamics from a sequence of high-dimensional observations is a difficult challenge in many domains, including reinforcement learning and control. The problem has recently been studied from a generative perspective…

Robotics · Computer Science 2022-07-12 Oliver Limoyo , Bryan Chan , Filip Marić , Brandon Wagstaff , Rupam Mahmood , Jonathan Kelly

Utilization of noise for the control of a class of non-linear systems is presented. The application of state-multiplicative noise as a mean of control is far more limited then the use of standard determinis?tic gains. Nevertheless, so…

Optimization and Control · Mathematics 2025-05-14 Adrian-Mihail Stoica , Isaac Yaesh

A two-layer control architecture is proposed, which promotes scalable implementations for model predictive controllers. The top layer acts as both a reference governor for the bottom layer and as a feedback controller for the regulated…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Andrei Sperilă , Alessio Iovine , Sorin Olaru , Patrick Panciatici

The engineering and control of devices at the quantum-mechanical level--such as those consisting of small numbers of atoms and photons--is a delicate business. The fundamental uncertainty that is inherently present at this scale manifests…

Probability · Mathematics 2009-05-02 Luc Bouten , Ramon van Handel , Matthew R. James