Temporal clustering for order reduction of nonlinear parabolic PDE systems with time‐dependent spatial domains: Application to a hydraulic fracturing process

Abhinav Narasingam; Prashanth Siddhamshetty; Joseph Sang‐Il Kwon

doi:10.1002/aic.15733

Temporal clustering for order reduction of nonlinear parabolic PDE systems with time‐dependent spatial domains: Application to a hydraulic fracturing process

AIChE Journal ◽

10.1002/aic.15733 ◽

2017 ◽

Vol 63 (9) ◽

pp. 3818-3831 ◽

Cited By ~ 45

Author(s):

Abhinav Narasingam ◽

Prashanth Siddhamshetty ◽

Joseph Sang‐Il Kwon

Keyword(s):

Hydraulic Fracturing ◽

Order Reduction ◽

Time Dependent ◽

Temporal Clustering ◽

Nonlinear Parabolic ◽

Fracturing Process ◽

Parabolic Pde ◽

Spatial Domains ◽

Pde Systems ◽

Nonlinear Parabolic Pde

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Computation of empirical eigenfunctions and order reduction for nonlinear parabolic PDE systems with time-dependent spatial domains

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00407-2 ◽

2001 ◽

Vol 47 (4) ◽

pp. 2869-2874 ◽

Cited By ~ 20

Author(s):

Antonios Armaou ◽

Panagiotis D. Christofides

Keyword(s):

Order Reduction ◽

Time Dependent ◽

Nonlinear Parabolic ◽

Parabolic Pde ◽

Spatial Domains ◽

Pde Systems ◽

Nonlinear Parabolic Pde

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Model order reduction of nonlinear parabolic PDE systems with moving boundaries using sparse proper orthogonal decomposition: Application to hydraulic fracturing

Computers & Chemical Engineering ◽

10.1016/j.compchemeng.2018.02.004 ◽

2018 ◽

Vol 112 ◽

pp. 92-100 ◽

Cited By ~ 28

Author(s):

Harwinder Singh Sidhu ◽

Abhinav Narasingam ◽

Prashanth Siddhamshetty ◽

Joseph Sang-Il Kwon

Keyword(s):

Model Order Reduction ◽

Order Reduction ◽

Orthogonal Decomposition ◽

Moving Boundaries ◽

Model Order ◽

Nonlinear Parabolic ◽

Parabolic Pde ◽

Pde Systems ◽

Nonlinear Parabolic Pde ◽

Proper Orthogonal

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Model order reduction of nonlinear parabolic PDE systems with moving boundaries using sparse proper orthogonal decomposition methodology

2018 Annual American Control Conference (ACC) ◽

10.23919/acc.2018.8430820 ◽

2018 ◽

Author(s):

Harwinder Singh Sidhu ◽

Abhinav Narasingam ◽

Joseph Sangil Kwon

Keyword(s):

Model Order Reduction ◽

Order Reduction ◽

Orthogonal Decomposition ◽

Moving Boundaries ◽

Model Order ◽

Nonlinear Parabolic ◽

Parabolic Pde ◽

Pde Systems ◽

Nonlinear Parabolic Pde ◽

Proper Orthogonal

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Sampled-Data Fuzzy Control with Exponential Time-Varying Gains for Nonlinear Parabolic PDE Systems

2020 35th Youth Academic Annual Conference of Chinese Association of Automation (YAC) ◽

10.1109/yac51587.2020.9337586 ◽

2020 ◽

Author(s):

Qian-Qian Li ◽

Zi-Peng Wang ◽

Huai-Ning Wu

Keyword(s):

Fuzzy Control ◽

Time Varying ◽

Sampled Data ◽

Exponential Time ◽

Nonlinear Parabolic ◽

Parabolic Pde ◽

Pde Systems ◽

Nonlinear Parabolic Pde

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H Sampled-Data Fuzzy Observer Design for Nonlinear Parabolic PDE Systems

IEEE Transactions on Fuzzy Systems ◽

10.1109/tfuzz.2020.2973943 ◽

2020 ◽

pp. 1-1

Author(s):

Zi-Peng Wang ◽

Huai-Ning Wu ◽

M. Chadli

Keyword(s):

Observer Design ◽

Sampled Data ◽

Fuzzy Observer ◽

Nonlinear Parabolic ◽

Parabolic Pde ◽

Pde Systems ◽

Nonlinear Parabolic Pde

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Exponential stabilization of nonlinear parabolic PDE systems via sampled-data fuzzy control approach

2017 36th Chinese Control Conference (CCC) ◽

10.23919/chicc.2017.8027582 ◽

2017 ◽

Cited By ~ 2

Author(s):

Zi-Peng Wang ◽

Huai-Ning Wu ◽

Han-Xiong Li

Keyword(s):

Fuzzy Control ◽

Exponential Stabilization ◽

Sampled Data ◽

Control Approach ◽

Nonlinear Parabolic ◽

Parabolic Pde ◽

Pde Systems ◽

Nonlinear Parabolic Pde

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Low dimensional disturbance observer-based control for nonlinear parabolic PDE systems with spatio-temporal disturbances

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.3468 ◽

2015 ◽

Vol 26 (12) ◽

pp. 2686-2707 ◽

Cited By ~ 5

Author(s):

Hong-Du Wang ◽

Huai-Ning Wu ◽

Lei Guo

Keyword(s):

Disturbance Observer ◽

Nonlinear Parabolic ◽

Parabolic Pde ◽

Pde Systems ◽

Nonlinear Parabolic Pde ◽

Spatio Temporal ◽

Low Dimensional

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Event-triggered reliable H∞ fuzzy filtering for nonlinear parabolic PDE systems with Markovian jumping sensor faults

Information Sciences ◽

10.1016/j.ins.2019.09.012 ◽

2020 ◽

Vol 510 ◽

pp. 50-69 ◽

Cited By ~ 9

Author(s):

Xiaona Song ◽

Mi Wang ◽

Baoyong Zhang ◽

Shuai Song

Keyword(s):

Sensor Faults ◽

Markovian Jumping ◽

Nonlinear Parabolic ◽

Parabolic Pde ◽

Pde Systems ◽

Nonlinear Parabolic Pde ◽

Event Triggered

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Nonlinear and Robust Control of Parabolic PDE Systems with Time-Dependent Spatial Domains

Systems & Control: Foundations & Applications - Nonlinear and Robust Control of PDE Systems ◽

10.1007/978-1-4612-0185-4_6 ◽

2001 ◽

pp. 123-151 ◽

Cited By ~ 1

Author(s):

Panagiotis D. Christofides

Keyword(s):

Robust Control ◽

Time Dependent ◽

Parabolic Pde ◽

Spatial Domains ◽

Pde Systems

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Disturbance Rejection Fuzzy Control for Nonlinear Parabolic PDE Systems via Multiple Observers

IEEE Transactions on Fuzzy Systems ◽

10.1109/tfuzz.2016.2514532 ◽

2016 ◽

Vol 24 (6) ◽

pp. 1334-1348 ◽

Cited By ~ 23

Author(s):

Huai-Ning Wu ◽

Hong-Du Wang ◽

Lei Guo

Keyword(s):

Fuzzy Control ◽

Disturbance Rejection ◽

Nonlinear Parabolic ◽

Parabolic Pde ◽

Pde Systems ◽

Nonlinear Parabolic Pde

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