Finite-Frequency Observer-Based Fault Estimation and Fault-Tolerant Control for Wind Turbine

This paper deals with the design problem of a robust fault estimation (FE)/ faulttolerant control (FTC) scheme for wind turbines (WT) in the finite frequency domain (FF). First, an adaptive fuzzy H∞ observer is constructed to simultaneously reconstruct the WT states and faults within the FF range. Throughout the observer analysis, it is only assumed that faults, uncertainties, and disturbances are bounded, which coincide with the practical requirements. In the second stage, based on the observer information, an active FTC method is proposed to stabilize the faulty WT. The controller and observer gain matrices are extracted employing the Lyapunov theory, where constraints are expressed as a set of linear matrix inequalities (LMIs). The Simulation results illustrate the best performances of the suggested strategy.

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FLUX DETECTION BY USING IMPULSIVE OBSERVER FOR WIND ENERGY APPLICATION

Journal of Circuits System and Computers ◽

10.1142/s0218126613500540 ◽

2013 ◽

Vol 22 (07) ◽

pp. 1350054 ◽

Cited By ~ 1

Author(s):

PENG WANG ◽

HAN WANG ◽

XU CAI ◽

Zhengzhi Han

Keyword(s):

Wind Energy ◽

Wind Power ◽

Linear Matrix Inequalities ◽

Induction Generator ◽

Linear Matrix ◽

Matrix Inequalities ◽

Squirrel Cage ◽

Energy Application ◽

Simulation Results ◽

Squirrel Cage Induction Generator

This paper deals with the flux detection of squirrel cage induction generator (SCIG) in wind power. A novel observer named impulsive observer is presented to estimate the states of SCIG. Conditions for the existence of the impulsive observer are established by using linear matrix inequalities. A realization for the observer in SCIG is proposed. Simulation results are provided to show the validation of the proposed method.

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Finite frequency model reduction for 2-D fuzzy systems in FM model

E3S Web of Conferences ◽

10.1051/e3sconf/202129701035 ◽

2021 ◽

Vol 297 ◽

pp. 01035

Author(s):

Rachid Naoual ◽

Abderrahim El-Amrani ◽

Ismail Boumhidi

Keyword(s):

Model Reduction ◽

State Space ◽

Linear Matrix Inequalities ◽

Fuzzy Systems ◽

Linear Matrix ◽

Two Dimensional ◽

Matrix Inequalities ◽

Finite Frequency ◽

Frequency Model ◽

Takagi Sugeno

This paper deals with the problem of H∞ model reduction for two-dimensional (2D) discrete Takagi-Sugeno (T-S) fuzzy systems described by Fornasini-Marchesini local state-space (FM LSS) models, over finite frequency (FF) domain. New design conditions guaranteeing the FF H∞ model reduction are established in terms of Linear Matrix Inequalities (LMIs). To highlight the effectiveness of the proposed H∞ model reduction design, a numerical example is given.

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Fault-tolerant control system for the formation of carbon products

Proceedings of the NTUU “Igor Sikorsky KPI”. Series: Chemical engineering, ecology and resource saving ◽

10.20535/2617-9741.4.2021.248878 ◽

2021 ◽

pp. 22-29

Author(s):

Liudmyla Zhuchenko

Keyword(s):

Control System ◽

Linear Matrix Inequalities ◽

Control Method ◽

Fault Tolerant ◽

Fault Tolerant Control ◽

Iterative Learning ◽

Linear Matrix ◽

Matrix Inequalities ◽

Unknown Disturbances ◽

Cyclic Processes

The production of carbon products is largely resource- and energy-intensive. That is why increasing the efficiency of this production is an urgent scientific and practical task, especially in modern conditions of constant growth of energy costs. An effective way to solve this problem is to create a modern process control system, taking into account possible failures of system components. A method for the synthesis of a fault-tolerant control system for the cyclic formation of carbon products has been developed, which takes into account control errors that are caused by malfunctions of controllers under conditions of unknown disturbances. According to the cyclic nature of the technological process under consideration, a control method with iterative learning was used in the synthesis of the control system. This method considers cyclic processes based on a two-dimensional model (2D model). The proposed control algorithm ensures the convergence of the control process with the task both in time and in each work cycle in order to promote the required quality of control even in the event of unknown disturbances and errors in the performance of controllers. The synthesis of the control system is based on the solution of a system of linear matrix inequalities. Based on the combination of a control method with iterative learning and a control method that takes into account failures in controllers, a method of constructing a fault-tolerant control system for the cyclic formation of carbon products has been synthesized to ensure acceptable operation of the control object in abnormal conditions. The control system has been synthesized by solving a system of linear matrix inequalities with the MATLAB software. In the future, it is necessary to consider optimal settings of the proposed control system and examine its effectiveness in comparison with conventional fault-tolerant systems for non-cyclic processes.

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Fault estimation and observer-based fault-tolerant controller in finite frequency domain

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331216688617 ◽

2017 ◽

Vol 40 (5) ◽

pp. 1659-1668 ◽

Cited By ~ 6

Author(s):

Yingying Tian ◽

Fanglai Zhu

Keyword(s):

Frequency Domain ◽

Controller Design ◽

Fault Tolerant ◽

Sufficient Conditions ◽

Original System ◽

Descriptor System ◽

Fault Estimation ◽

Linear Matrix ◽

Finite Frequency ◽

Closed Loop System

In this paper, the problems of finite-frequency fault estimation (FE) and fault tolerant controller design are investigated for a class of systems subjected to both sensor and actuator faults. To begin with, by introducing an expanded state vector, the original system is transformed into a descriptor system, and then an unknown input proportional-integral observer (PI) is developed to provide state and FE, which avoids the overdesign problems occurring in the entire frequency domain. After this, based on reconstructed information, an observer-based fault-tolerant controller is designed to stabilize the closed-loop system even if it suffers from faults and disturbances. In addition, the sufficient conditions of the existence of the PI and fault tolerant controller are derived by linear matrix inequality (LMI) tools. Finally, a simulation example is presented to demonstrate the effectiveness of the proposed techniques.

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Active fault tolerance control of a wind turbine system using an unknown input observer with an actuator fault

International Journal of Applied Mathematics and Computer Science ◽

10.2478/amcs-2018-0005 ◽

2018 ◽

Vol 28 (1) ◽

pp. 69-81 ◽

Cited By ~ 9

Author(s):

Shanzhi Li ◽

Haoping Wang ◽

Abdel Aitouche ◽

Yang Tian ◽

Nicolai Christov

Keyword(s):

Wind Turbine ◽

Active Fault ◽

Fault Tolerant ◽

Lyapunov Theory ◽

Fault Estimation ◽

Linear Matrix ◽

Unknown Input ◽

Actuator Fault ◽

Unknown Input Observer ◽

Wind Turbine System

AbstractThis paper proposes a fault tolerant control scheme based on an unknown input observer for a wind turbine system subject to an actuator fault and disturbance. Firstly, an unknown input observer for state estimation and fault detection using a linear parameter varying model is developed. By solving linear matrix inequalities (LMIs) and linear matrix equalities (LMEs), the gains of the unknown input observer are obtained. The convergence of the unknown input observer is also analysed with Lyapunov theory. Secondly, using fault estimation, an active fault tolerant controller is applied to a wind turbine system. Finally, a simulation of a wind turbine benchmark with an actuator fault is tested for the proposed method. The simulation results indicate that the proposed FTC scheme is efficient.

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State and Input Observer Design for Nonlinear Impulsive Systems via LMI Approach

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.950.119 ◽

2014 ◽

Vol 950 ◽

pp. 119-124

Author(s):

Tian Shao ◽

Ke Peng ◽

Zhi Sheng Chen ◽

Yan Jun Liu

Keyword(s):

Linear Matrix Inequalities ◽

Sufficient Conditions ◽

The State ◽

Lyapunov Theory ◽

Observer Design ◽

Linear Matrix ◽

Matrix Inequalities ◽

Impulsive Systems ◽

Lmi Approach ◽

Quadratic Constraint

This paper addresses the observer design for simultaneously estimating the state and input of a class of impulsive systems whose nonlinear terms satisfy an incremental quadratic constraint. By employing Lyapunov theory, sufficient conditions for asymptotical and exponential estimation convergence are derived. Gain matrices of the proposed observer can be obtained by solving linear matrix inequalities (LMIs).

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State and fault estimation based on fuzzy observer for a class of Takagi-Sugeno singular models

Indonesian Journal of Electrical Engineering and Computer Science ◽

10.11591/ijeecs.v25.i1.pp172-182 ◽

2022 ◽

Vol 25 (1) ◽

pp. 172

Author(s):

Kaoutar Ouarid ◽

Mohamed Essabre ◽

Abdellatif El Assoudi ◽

El Hassane El Yaagoubi

Keyword(s):

Nonlinear Systems ◽

Lyapunov Theory ◽

Fault Estimation ◽

Linear Matrix ◽

Engineering Practice ◽

Sensor Faults ◽

Matrix Inequalities ◽

Decomposition Approach ◽

New Approach ◽

Takagi Sugeno

Singular nonlinear systems have received wide attention in recent years, and can be found in various applications of engineering practice. On the basis of the Takagi-Sugeno (T-S) formalism, which represents a powerful tool allowing the study and the treatment of nonlinear systems, many control and diagnostic problems have been treated in the literature. In this work, we aim to present a new approach making it possible to estimate simultaneously both non-measurable states and unknown faults in the actuators and sensors for a class of continuous-time Takagi-Sugeno singular model (CTSSM). Firstly, the considered class of CTSSM is represented in the case of premise variables which are non-measurable, and is subjected to actuator and sensor faults. Secondly, the suggested observer is synthesized based on the decomposition approach. Next, the observer’s gain matrices are determined using the Lyapunov theory and the constraints are defined as linear matrix inequalities (LMIs). Finally, a numerical simulation on an application example is given to demonstrate the usefulness and the good performance of the proposed dynamic system.

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Robust Adaptive Fault-Tolerant Tracking Control of Three-Phase Induction Motor

Advances in Electrical Engineering ◽

10.1155/2014/915072 ◽

2014 ◽

Vol 2014 ◽

pp. 1-7 ◽

Cited By ~ 1

Author(s):

Hossein Tohidi ◽

Koksal Erenturk

Keyword(s):

Induction Motor ◽

Linear Matrix Inequalities ◽

Tracking Control ◽

Controller Design ◽

Fault Tolerant ◽

Disturbance Attenuation ◽

Linear Matrix ◽

Actuator Faults ◽

Matrix Inequalities ◽

Robust Adaptive

This paper deals with the problem of induction motor tracking control against actuator faults and external disturbances using the linear matrix inequalities (LMIs) method and the adaptive method. A direct adaptive fault-tolerant tracking controller design method is developed based on Lyapunov stability theory and a constructive algorithm based on linear matrix inequalities for online tuning of adaptive and state feedback gains to stabilize the closed-loop system in order to reduce the fault effect with disturbance attenuation. Simulation results reveal the merits of proposed robust adaptive fault-tolerant tracking control scheme on an induction motor subjected to actuator faults.

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