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Ujjwal Pratap

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Papers by Ujjwal Pratap

Research paper thumbnail of Outlier detection and trimmed-average estimation in network systems

European Journal of Control

This paper addresses the problem of outlier detection and trimmed-average state estimation in an ... more This paper addresses the problem of outlier detection and trimmed-average state estimation in an LTI network system. We consider that only some states are measured and there exists an outlier among the unmeasured states, which is so different from the remaining states that it affects the average value significantly. The goal of this paper is both to detect the outlier and to estimate the average state excluding the outlier (trimmed-average). Moreover, we also investigate the case where the system matrices are partially unknown since the outlier results from an unknown localized fault in the system. Finally, we illustrate the method on a thermal diffusion system.

Research paper thumbnail of GTL-Healthmob: Simulation platform for urban mobility and epidemic control

HAL (Le Centre pour la Communication Scientifique Directe), Jun 21, 2022

The GTL-Healthmob is an online simulation platform which aims at visualizing the population movem... more The GTL-Healthmob is an online simulation platform which aims at visualizing the population movement, simulating epidemic propagation and optimizing the mobility restrictions to limit the epidemic spread in the Grenoble metropolis. The platform takes user inputs for different epidemic and mobility control parameters and shows the results in terms of plots and heatmaps overlaid onto the map of the metropolis. The platform is being developed in the context of the ERC project Scale-FreeBack and the INRIA project Healthy-Mobility, to showcase the mobility and epidemic models, developed within the team by adapting and implementing them to the Grenoble metropolis, which can also enable policymakers to devise optimal mobility restriction policies.

Research paper thumbnail of Where, when and how people move in large-scale urban networks: the Grenoble saga

HAL (Le Centre pour la Communication Scientifique Directe), Feb 3, 2022

This work studies the mobility of people in the metropolitan city Grenoble in France, building a ... more This work studies the mobility of people in the metropolitan city Grenoble in France, building a supply-demand based mobility model which captures the daily movement of people between residences and places of interests called destinations, using time schedules and gating profiles which also accommodate the possibility of imposing restrictions on mobility. The goal of this paper is to build the mobility network in Grenoble answering the three main questions (WWH): Where does mobility happen? When does it happen? How many people move? We provide methods to compute the time gating functions and different parameters for this network. Further, we identify and address the issues encountered during discretization of the continuous-time mobility model. As an application, we also study how different restrictions on the mobility effects the epidemic spread in Grenoble. Finally, we describe the online GTL-covid demonstrator which is being developed by implementing the results of this paper. It is an academic platform which can be used to simulate different scenarios of mobility and visualise its effect on epidemic spread in Grenoble area.

Research paper thumbnail of Average state estimation in presence of outliers

2020 59th IEEE Conference on Decision and Control (CDC), 2020

This paper addresses the problem of estimation of the average state of an LTI network system wher... more This paper addresses the problem of estimation of the average state of an LTI network system where measurements of only some of the states are available. We consider the case where there is an outlier among the unmeasured states, which is so different from the remaining states that it affects the average value significantly. The goal of this paper is to detect the outlier and to estimate the average of the unmeasured states excluding the outlier.

Research paper thumbnail of Outlier detection and trimmed-average estimation in network systems

European Journal of Control

This paper addresses the problem of outlier detection and trimmed-average state estimation in an ... more This paper addresses the problem of outlier detection and trimmed-average state estimation in an LTI network system. We consider that only some states are measured and there exists an outlier among the unmeasured states, which is so different from the remaining states that it affects the average value significantly. The goal of this paper is both to detect the outlier and to estimate the average state excluding the outlier (trimmed-average). Moreover, we also investigate the case where the system matrices are partially unknown since the outlier results from an unknown localized fault in the system. Finally, we illustrate the method on a thermal diffusion system.

Research paper thumbnail of GTL-Healthmob: Simulation platform for urban mobility and epidemic control

HAL (Le Centre pour la Communication Scientifique Directe), Jun 21, 2022

The GTL-Healthmob is an online simulation platform which aims at visualizing the population movem... more The GTL-Healthmob is an online simulation platform which aims at visualizing the population movement, simulating epidemic propagation and optimizing the mobility restrictions to limit the epidemic spread in the Grenoble metropolis. The platform takes user inputs for different epidemic and mobility control parameters and shows the results in terms of plots and heatmaps overlaid onto the map of the metropolis. The platform is being developed in the context of the ERC project Scale-FreeBack and the INRIA project Healthy-Mobility, to showcase the mobility and epidemic models, developed within the team by adapting and implementing them to the Grenoble metropolis, which can also enable policymakers to devise optimal mobility restriction policies.

Research paper thumbnail of Where, when and how people move in large-scale urban networks: the Grenoble saga

HAL (Le Centre pour la Communication Scientifique Directe), Feb 3, 2022

This work studies the mobility of people in the metropolitan city Grenoble in France, building a ... more This work studies the mobility of people in the metropolitan city Grenoble in France, building a supply-demand based mobility model which captures the daily movement of people between residences and places of interests called destinations, using time schedules and gating profiles which also accommodate the possibility of imposing restrictions on mobility. The goal of this paper is to build the mobility network in Grenoble answering the three main questions (WWH): Where does mobility happen? When does it happen? How many people move? We provide methods to compute the time gating functions and different parameters for this network. Further, we identify and address the issues encountered during discretization of the continuous-time mobility model. As an application, we also study how different restrictions on the mobility effects the epidemic spread in Grenoble. Finally, we describe the online GTL-covid demonstrator which is being developed by implementing the results of this paper. It is an academic platform which can be used to simulate different scenarios of mobility and visualise its effect on epidemic spread in Grenoble area.

Research paper thumbnail of Average state estimation in presence of outliers

2020 59th IEEE Conference on Decision and Control (CDC), 2020

This paper addresses the problem of estimation of the average state of an LTI network system wher... more This paper addresses the problem of estimation of the average state of an LTI network system where measurements of only some of the states are available. We consider the case where there is an outlier among the unmeasured states, which is so different from the remaining states that it affects the average value significantly. The goal of this paper is to detect the outlier and to estimate the average of the unmeasured states excluding the outlier.

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