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20112026
most citedState and Parameter Estimation for Natural Gas Pipeline Networks using Transient State Data

57 citations · 222 across the 42 of their papers we have counts for

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24 papers · 1 filter

math.OC2026

A Bilevel Market Equilibrium Model for Natural Gas Pipeline Network Operations: Convex Relaxations and Single-level Reformulations

Novel Kumar Dey, Afrooz Jalilzadeh, Erfan Yazdandoost Hamedani +2

We propose an integrated market equilibrium model for determining the spot market prices and flow rates in a natural gas pipeline network. The traditional approach solves the marke…

math.OC2024

Robust Quantum Gate Preparation in Open Environments

Luke S. Baker, Syed A. Shah, Anatoly Zlotnik +1

We develop an optimal control algorithm for robust quantum gate preparation in open environments with the state of the quantum system represented using the Lindblad master equation…

math.OC2024

Setpoint Tracking and Disturbance Attenuation for Gas Pipeline Flow Subject to Uncertainties using Backstepping

Bhathiya Rathnayake, Anatoly Zlotnik, Svetlana Tokareva +1

In this paper, we consider the problem of regulating the outlet pressure of gas flowing through a pipeline subject to uncertain and variable outlet flow. Gas flow through a pipe is…

math.OC2024★ 1 cited

Stochastic Finite Volume Method for Uncertainty Management in Gas Pipeline Network Flows

Saif R. Kazi, Sidhant Misra, Svetlana Tokareva +2

Natural gas consumption by users of pipeline networks is subject to increasing uncertainty that originates from the intermittent nature of electric power loads serviced by gas-fire…

math.OC2024★ 1 cited

Convergence of Iterative Quadratic Programming for Robust Fixed-Endpoint Transfer of Bilinear Systems

Luke S. Baker, Andre Luiz P. de Lima, Anatoly Zlotnik +2

We present a computational method for open-loop minimum-norm control synthesis for fixed-endpoint transfer of bilinear ensemble systems that are indexed by two continuously varying…

math.OC2023

Locational Marginal Pricing of Energy in Pipeline Transport of Natural Gas and Hydrogen with Carbon Offset Incentives

Mo Sodwatana, Saif R. Kazi, Kaarthik Sundar +2

We propose an optimization formulation for locational pricing of energy transported through a pipeline network that carries mixtures of natural gas and hydrogen from distributed so…

math.OC2023

Optimal Ensemble Control of Matter-Wave Splitting in Bose-Einstein Condensates

Andre Luiz P. de Lima, Andrew K. Harter, Michael J. Martin +1

We present a framework for designing optimal optical pulses for the matter-wave splitting of a Bose-Einstein Condensate (BEC) under the influence of experimental inhomogeneities, s…

math.OC2023

Linear System Analysis and Optimal Control of Natural Gas Dynamics in Pipeline Networks

Luke S. Baker, Sachin Shivakumar, Dieter Armbruster +2

We design nonlinear and adaptive linear model-predictive control (MPC) techniques to minimize operational costs of compressor-actuated dynamics in natural gas pipeline networks. We…

math.OC2023

Dynamic Optimization and Optimal Control of Hydrogen Blending Operations in Natural Gas Networks

Saif R. Kazi, Kaarthik Sundar, Anatoly Zlotnik

We present a dynamic model for the optimal control problem (OCP) of hydrogen blending into natural gas pipeline networks subject to inequality constraints. The dynamic model is der…

math.OC2022★ 2 cited

Modeling and Optimization of Steady Flow of Natural Gas and Hydrogen Mixtures in Pipeline Networks

Saif R. Kazi, Kaarthik Sundar, Shriram Srinivasan +1

We extend the canonical problems of simulation and optimization of steady-state gas flows in pipeline networks with compressors to the transport of mixtures of highly heterogeneous…

math.OC2022

Optimization of Hydrogen Blending in Natural Gas Networks for Carbon Emissions Reduction

Mo Sodwatana, Saif R. Kazi, Kaarthik Sundar +1

We present an economic optimization problem for allocating the flow of natural gas and hydrogen blends through a large-scale transportation pipeline network. Physical flow of the g…

math.OC2022

Optimal Control of Transient Flows in Pipeline Networks with Heterogeneous Mixtures of Hydrogen and Natural Gas

Luke Baker, Saif R. Kazi, Rodrigo B. Platte +1

We formulate a control system model for the distributed flow of mixtures of highly heterogeneous gases through large-scale pipeline networks with time-varying injections of constit…

math.OC2021★ 42 cited

Operation of Natural Gas Pipeline Networks With Storage Under Transient Flow Conditions

Sai Krishna Kanth Hari, Kaarthik Sundar, Shriram Srinivasan +2

We formulate a nonlinear optimal control problem for intra-day operation of a natural gas pipeline network that includes storage reservoirs. The dynamics of compressible gas flow t…

math.OC2021

Robust Gas Pipeline Network Expansion Planning to Support Power System Reliability

Kaarthik Sundar, Sidhant Misra, Anatoly Zlotnik +1

We examine the problem of optimal transport capacity expansion planning for a gas pipeline network to service the growing demand of gas-fired power plants that are increasingly use…

math.OC2020

Optimal Economic Operation of Liquid Petroleum Products Pipeline Systems

Elena Khlebnikova, Kaarthik Sundar, Anatoly Zlotnik +3

The majority of overland transport needs for crude petroleum and refined petroleum products are met using pipelines. Numerous studies have developed optimization methods for design…

math.OC2020

Natural Gas Maximal Load Delivery for Multi-contingency Analysis

Byron Tasseff, Carleton Coffrin, Russell Bent +2

As the use of renewable generation has increased, electric power systems have become increasingly reliant on natural gas-fired power plants as fast ramping sources for meeting fluc…

math.OC2020

Monotonicity Properties of Physical Network Flows and Application to Robust Optimal Allocation

Sidhant Misra, Marc Vuffray, Anatoly Zlotnik

We derive conditions for monotonicity properties that characterize general flows of a commodity over a network, where the flow is described by potential and flow dynamics on the ed…

math.OC2019

Optimal Control for Scheduling and Pricing Intra-day Natural Gas Transport on Pipeline Networks

Anatoly Zlotnik, Kaarthik Sundar, Aleksandr M. Rudkevich +2

We formulate an economic optimal control problem for transport of natural gas over a large-scale transmission pipeline network under transient flow conditions. The objective is to…

math.OC2016★ 5 cited

Monotone Order Properties for Control of Nonlinear Parabolic PDE on Graphs

Sidhant Misra, Marc Vuffray, Anatoly Zlotnik +1

We derive conditions for the propagation of monotone ordering properties for a class of nonlinear parabolic partial differential equation (PDE) systems on metric graphs. For such s…

math.OC2015

Efficient Dynamic Compressor Optimization in Natural Gas Transmission Systems

Terrence W. K. Mak, Pascal Van Hentenryck, Anatoly Zlotnik +2

The growing reliance of electric power systems on gas-fired generation to balance intermittent sources of renewable energy has increased the variation and volume of flows through n…

math.OC2015

Monotonicity of Actuated Flows on Dissipative Transport Networks

Anatoly Zlotnik, Sidhant Misra, Marc Vuffray +1

We derive a monotonicity property for general, transient flows of a commodity transferred throughout a network, where the flow is characterized by density and mass flux dynamics on…

math.OC2015

Optimal Control of Transient Flow in Natural Gas Networks

Anatoly Zlotnik, Michael Chertkov, Scott Backhaus

We outline a new control system model for the distributed dynamics of compressible gas flow through large-scale pipeline networks with time-varying injections, withdrawals, and con…

math.OC2012★ 1 cited

Ensemble Control of Stochastic Linear Systems

Ji Qi, Anatoly Zlotnik, Jr-Shin Li

In this paper, we consider the problem of steering a family of independent, structurally identical, finite-dimensional stochastic linear systems with variation in system parameters…

math.OC2011★ 4 cited

Synthesis of Optimal Ensemble Controls for Linear Systems using the Singular Value Decomposition

Anatoly Zlotnik, Jr-Shin Li

An emerging and challenging area in mathematical control theory called Ensemble Control encompasses a class of problems that involves the guidance of an uncountably infinite collec…