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This paper addresses the challenges of optimally placing a finite number of sensors to detect Poisson-distributed targets in a bounded domain. We seek to rigorously account for uncertainty in the target arrival model throughout the problem.…

Robotics · Computer Science 2023-07-11 Mingyu Kim , Harun Yetkin , Daniel J. Stilwell , Jorge Jimenez , Saurav Shrestha , Nina Stark

In this paper we address the actuator/sensor allocation problem for linear time invariant (LTI) systems. Given the structure of an autonomous linear dynamical system, the goal is to design the structure of the input matrix (commonly denoted…

Systems and Control · Computer Science 2012-10-26 Sergio Pequito , Soummya Kar , A. Pedro Aguiar

With the rising importance of large-scale network control, the problem of actuator placement has received increasing attention. Our goal in this paper is to find a set of actuators minimizing the metric that measures the average energy…

Optimization and Control · Mathematics 2021-07-14 Baiwei Guo , Orcun Karaca , Tyler Summers , Maryam Kamgarpour

Modern buildings consist of hundreds of sensors and actuators for monitoring and operation of systems such as HVAC, light and security. To enable portable applications in next generation smart buildings, we need models and standardized…

Systems and Control · Computer Science 2016-01-28 Jason Koh , Bharathan Balaji , Vahideh Akhlaghi , Yuvraj Agarwal , Rajesh Gupta

In this paper, we model and solve the problem of designing in an optimal way actuators for parabolic partial differential equations settled on a bounded open connected subset $\Omega$ of IR n. We optimize not only the location but also the…

Analysis of PDEs · Mathematics 2017-01-10 Yannick Privat , Emmanuel Trélat , Enrique Zuazua

We present a detection problem where several spatially distributed sensors observe Poisson signals emitted from a single source of unknown position. The measurements at each sensor are modeled by independent inhomogeneous Poisson processes.…

Statistics Theory · Mathematics 2018-06-19 Christian Farinetto , Yury A. Kutoyants , Alioune Top

The problem of placing or selecting sensors and control nodes plays a pivotal role in the operation of dynamic networks. This paper proposes optimal algorithms and heuristics to solve the simultaneous sensor and actuator selection problem…

Optimization and Control · Mathematics 2019-03-11 Sebastian A. Nugroho , Ahmad F. Taha , Nikolaos Gatsis , Tyler H. Summers , Ram Krishnan

This paper discusses the problem of estimating the state of a linear time-invariant system when some of its sensors and actuators are compromised by an adversarial agent. In the model considered in this paper, the malicious agent attacks an…

Optimization and Control · Mathematics 2019-04-04 Mehrdad Showkatbakhsh , Yasser Shoukry , Suhas Diggavi , Paulo Tabuada

We present a systematic approach to the optimal placement of finitely many sensors in order to infer a finite-dimensional parameter from point evaluations of the solution of an associated parameter-dependent elliptic PDE. The quality of the…

Optimization and Control · Mathematics 2021-03-30 Ira Neitzel , Konstantin Pieper , Boris Vexler , Daniel Walter

This paper investigates the multitime linear normal PDE systems. We study especially the controllability of such systems, obtaining complementary results to those in our recent papers. Here the multitime controllability original results are…

Optimization and Control · Mathematics 2012-01-04 Cristian Ghiu , Constantin Udriste

Bayesian optimal sensor placement, in its full generality, seeks to maximize the mutual information between uncertain model parameters and the predicted data to be collected from the sensors for the purpose of performing Bayesian inference.…

Applications · Statistics 2019-06-17 Pinaky Bhattacharyya , James L. Beck

Actuator location and design are important choices in controller design for distributed parameter systems. Semi-linear partial differential equations model a wide spectrum of physical systems with distributed parameters. It is shown that…

Optimization and Control · Mathematics 2018-10-23 M. Sajjad Edalatzadeh , Kirsten A. Morris

The present study proposes a sensor selection method based on the proximal splitting algorithm and the A-optimal design of experiment using the alternating direction method of multipliers (ADMM) algorithm. The performance of the proposed…

Systems and Control · Electrical Eng. & Systems 2021-07-13 Takayuki Nagata , Taku Nonomura , Kumi Nakai , Keigo Yamada , Yuji Saito , Shunsuke Ono

This paper presents a simple, one-dimensional model of a randomly advected passive scalar. The model exhibits anomalous inertial range scaling for the structure functions constructed from scalar differences. The model provides a simple…

Statistical Mechanics · Physics 2009-10-31 Scott Wunsch

We study the problem of identifying unknown processes embedded in time-dependent partial differential equation (PDE) using observational data, with an application to advection-diffusion type PDE. We first conduct theoretical analysis and…

Numerical Analysis · Mathematics 2021-07-13 Zhen Chen , Kailiang Wu , Dongbin Xiu

In this paper, we consider the problem of quantifying controllability and observability of a nonlinear discrete time dynamical system. We introduce the Koopman operator as a canonical representation of the system and apply a lifting…

Systems and Control · Computer Science 2017-09-27 Enoch Yeung , Zhiyuan Liu , Nathan O. Hodas

In this paper we consider the localization problem for a visual sensor network. Inspired by the alternate attitude and position distributed optimization framework discussed in [1], we propose an estimation scheme that exploits the unit dual…

Systems and Control · Electrical Eng. & Systems 2022-03-15 Luca Varotto , Marco Fabris , Giulia Michieletto , Angelo Cenedese

Good geometrical calibration is essential in the use of high resolution detectors. The individual sensors in the detector have to be calibrated with an accuracy better than the intrinsic resolution, which typically is of the order of 10 um.…

Data Analysis, Statistics and Probability · Physics 2009-09-29 V. Karimaki , A. Heikkinen , T. Lampen , T. Linden

Precision space inertial sensors are imperative to Earth geodesy missions, gravitational wave observations and several fundamental physics experiments in space. In these missions, the residual acceleration noise of the test mass(TM) caused…

Space Physics · Physics 2024-07-11 Fangchao Yang , Yan Zhu , Xiaofei Jin , Yujie Zhao , Shixun Pei , Wei Hong

We present an efficient method to optimize sensor placement for flow estimation using sensors with time-delay embedding in advection-dominated flows. Our solution allows identifying promising candidates for sensor positions using solely…

Fluid Dynamics · Physics 2025-04-24 Junwei Chen , Marco Raiola , Stefano Discetti