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Model-based fault detection, estimation, and prediction for a class of linear distributed parameter systems

Jia Cai, Hasan Ferdowsi, Jagannathan Sarangapani
2016 Automatica  
This paper addresses a new model-based fault detection, estimation, and prediction scheme for linear distributed parameter systems (DPSs) described by a class of partial differential equations (PDEs).  ...  Though state measurements are utilized initially in the parameter update law for the fault function estimation, the output and input filters in the modified observer subsequently relax this requirement  ...  Instead, the state of a DPS is described by a partial differential equation (PDE) . Several fault detection and diagnosis schemes have been introduced in the literature for DPS.  ... 
doi:10.1016/j.automatica.2015.12.028 fatcat:5ve2lqje3jfste7s5nzikfkvdu

A Model-Based Fault Detection and Diagnosis Scheme for Distributed Parameter Systems: A Learning Systems Approach

Michael A. Demetriou
2002 E S A I M: Control, Optimisation and Calculus of Variations  
This fault is assumed to be linear in the (unknown) constant (and possibly functional) parameters.  ...  In addition, it identifies the fault parameters using the additional assumption of persistence of excitation.  ...  Conclusions with directions for future research on fault detection and accommodation of systems governed by partial differential equations are presented in Section 6.  ... 
doi:10.1051/cocv:2002003 fatcat:z6ht3twy3ze37nupw4p3yzp7ry

Non-asymptotic State Estimation of Linear Reaction Diffusion Equation using Modulating Functions

Lilia Ghaffour, Matti Noack, Johann Reger, Taous-Meriem Laleg-Kirati
2020 IFAC-PapersOnLine  
This results in a signal model control problem for a system of auxiliary PDEs in order to determine the modulation kernels.  ...  In this paper, we propose a non-asymptotic state estimation method for the linear reaction diffusion equation with general boundary conditions.  ...  INTRODUCTION State estimation for systems modeled by partial differential equations (PDEs) is an important problem in many applications.  ... 
doi:10.1016/j.ifacol.2020.12.2570 fatcat:xcqhqo6rjjfclisrvd32he4d2i

Fault Detection and Isolation of Uncertain Nonlinear Parabolic PDE Systems [article]

Jingting Zhang and Chengzhi Yuan and Wei Zeng and Cong Wang
2022 arXiv   pre-print
This paper proposes a novel fault detection and isolation (FDI) scheme for distributed parameter systems modeled by a class of parabolic partial differential equations (PDEs) with nonlinear uncertain dynamics  ...  Specifically, an approximate ordinary differential equation (ODE) system is first derived to capture the dominant dynamics of the original PDE system.  ...  by partial differential equations (PDEs).  ... 
arXiv:2203.15850v1 fatcat:luq4twxaeje2tgwixrvufeoxea

Algorithm Selection for Error Resilience in Scientific Computing

Joseph Callenes-Sloan, Hugh McNamara
2014 2014 IEEE 20th Pacific Rim International Symposium on Dependable Computing  
In this paper, we investigate the impact of different algorithmic designs on error resilience and propose an approach for algorithm selection for a class of equations, i.e. partial differential equations  ...  In this paper, we propose one approach for automated design using machine-learning.  ...  At the core of many of these applications are systems of partial differential equations (PDE). For this reason, solvers for PDEs are especially important.  ... 
doi:10.1109/prdc.2014.20 dblp:conf/prdc/Callenes-SloanM14 fatcat:g3seh4yscjbxtbmgfhwpjaog3e

Air-Quality Monitoring and Detection of Air Contamination in an Enclosed Environment

Mikhail Skliar, W. Fred Ramirez
1997 Journal of Spacecraft and Rockets  
Assuming laminar airflow, the parabolic input and output air velocities, and the additional parameters of Table 1, the z-averaged air velocity distribution in the cabin was calculated and is shown in Fig  ...  Mathemat- ical models of this approach are a system of ordinary differential equations, resulting from the application of the macroscopic mass balances.”  ... 
doi:10.2514/2.3242 pmid:11542301 fatcat:aovqm4ts2ncqdlyao3ger56xhy

A Discontinuous-Galerkin Finite-Element Method for Simulation of Packed Bed Chromatographic Processes

A. Hørsholt, L.H. Christiansen, K. Meyer, J.K. Huusom, J.B. Jørgensen
2019 IFAC-PapersOnLine  
Packed bed chromatographic processes are modeled as advection-diffusion-reaction partial differential equations. The advection term strongly dominates the diffusion term.  ...  Packed bed chromatographic processes are modeled as advection-diffusion-reaction partial differential equations. The advection term strongly dominates the diffusion term.  ...  These processes are typically described by parabolic, non-linear, convection-dominated, coupled partial differential equations (Javeed et al., 2011) .  ... 
doi:10.1016/j.ifacol.2019.06.086 fatcat:4sbrxbxm7ngnhc5uoan7s77djm

Robust diagnosis and fault-tolerant control of uncertain distributed processes with limited measurements

Sathyendra Ghantasala, Nael H. El-Farra
2008 2008 American Control Conference  
This work develops a robust fault detection and isolation (FDI) and fault-tolerant control (FTC) structure for distributed processes modeled by nonlinear parabolic PDEs with control constraints, time-varying  ...  Using the fault-free Lyapunov dissipation bounds as thresholds for FDI, the detection and isolation of faults in a given actuator is accomplished by monitoring the evolution of the dominant modes within  ...  Many important engineering systems, however, such as transport-reaction processes and fluid flows, are characterized by spatial variations and are modeled by Partial Differential Equations (PDEs).  ... 
doi:10.1109/acc.2008.4586612 dblp:conf/amcc/GhantasalaE08 fatcat:ab73jym7cvgifbio3wekkvuphe

Multi-Scale Analysis and Pattern Recognition of Ultrasonic Signals of PD in a Liquid/Solid Composite of an Oil-Filled Terminal

Wang, Zhang, Li, Li, Gao, Guo
2020 Energies  
In order to analyze the partial discharge (PD) characteristics of a liquid/solid composite medium in an oil-filled submarine cable terminal; we have designed five discharge models including needle-plate  ...  At the same time, the ultrasonic signals of PD have been extracted through the typical fault model research platform of oil-filled submarine cable equipment.  ...  The circuit schematic of the PD ultrasonic test system is shown in Figure 3 . The cable terminal PD fault simulation system and operating platform are shown in Figure 4 . Test system schematic.  ... 
doi:10.3390/en13020366 fatcat:j47wbmvpxjhwnpvvn7khfqybpy

A hierarchical multiple-model approach for detection and isolation of robotic actuator faults

Tesheng Hsiao, Mao-Chiao Weng
2012 Robotics and Autonomous Systems  
In this paper, we propose a hierarchical multiple-model FDI (HMM-FDI) scheme to detect and isolate actuator faults of robot manipulators.  ...  Therefore fault detection and isolation (FDI) schemes must be carefully designed and implemented on robotic systems in order to guarantee safe and reliable operations.  ...  Fault isolation In the fault isolation stage, we focus on finding out the faulty joints instead of recognizing the types of faults, i.e. whether the joint is locked or suffers from partial loss of the  ... 
doi:10.1016/j.robot.2011.10.003 fatcat:kcbpn6bdvrbbxk7dhzwmwtszhy

A hierarchical multiple-model approach for detection and isolation of robotic actuator faults

Tesheng Hsiao, Mao-Chiao Weng
2010 Proceedings of the 2010 American Control Conference  
In this paper, we propose a hierarchical multiple-model FDI (HMM-FDI) scheme to detect and isolate actuator faults of robot manipulators.  ...  Therefore fault detection and isolation (FDI) schemes must be carefully designed and implemented on robotic systems in order to guarantee safe and reliable operations.  ...  Fault isolation In the fault isolation stage, we focus on finding out the faulty joints instead of recognizing the types of faults, i.e. whether the joint is locked or suffers from partial loss of the  ... 
doi:10.1109/acc.2010.5531290 fatcat:3trze553lncgba43qsi3zeoina

Fault-tolerant control of sampled-data nonlinear distributed parameter systems

S Ghantasala, N H El-Farra
2010 Proceedings of the 2010 American Control Conference  
This work presents an integrated fault detection and fault-tolerant control architecture for spatially-distributed systems described by highly-dissipative systems of nonlinear partial differential equations  ...  A sufficient condition for stability of the sampled-data nonlinear closed-loop system is derived in terms of the sampling rate, the model accuracy, the controller design parameters and the spatial placement  ...  INTRODUCTION Compared with the extensive body of literature on fault diagnosis and fault-tolerant control for lumped parameter systems described by ordinary differential equations (e.g., see [1] , [2  ... 
doi:10.1109/acc.2010.5531125 fatcat:ciwuxi2fj5bc5imgsqqfurknpm

Modeling and Numerical Computation of the Longitudinal Non-Linear Dynamics of High-Speed Elevators

Zhongxu Tian, Hang He, You Zhou
2024 Applied Sciences  
This model incorporates Newton's law and the Lagrange equation to comprehensively represent the dynamics of the elevator car, car frame, traction system, and tension system.  ...  This paper investigates dynamics modeling and numerical solution methods for longitudinal vibrations in a typical high-speed elevator system.  ...  differential equations and ordinary differential equations.  ... 
doi:10.3390/app14051821 fatcat:6okkqo664fg5xpmdsxgbomeeym

2015 Index IEEE Transactions on Automatic Control Vol. 60

2015 IEEE Transactions on Automatic Control  
Bemporad, A., TAC Nov. 2015 2892-2903 Linear differential equations Sensor Placement for Fault Isolability Based on Bond Graphs.  ...  Astolfi, D., +, TAC Nov. 2015 3059-3064 + Check author entry for coauthors Parabolic equations Adaptation and Optimization of Synchronization Gains in the Regulation Control of Networked Distributed Parameter  ... 
doi:10.1109/tac.2015.2512305 fatcat:5gut6qeomfh73fwfvehzujbr5q

2009 Index IEEE Transactions on Automatic Control Vol. 54

2009 IEEE Transactions on Automatic Control  
Mostofi, Y., +, TAC Feb. 2009 376-381 Fault detection Fault Detection and Isolation of Distributed Time-Delay Systems.  ...  ., +, TAC Nov. 2009 2707-2714 Fault Detection and Isolation of Distributed Time-Delay Systems.  ...  State Convergence of Passive Nonlinear Systems With an L Input.  ... 
doi:10.1109/tac.2009.2037798 fatcat:4ilhkzss6jc63ersjzi47hiwgu
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