Fuzzy Fault Tolerant Control of a Bacterial Growth Process Using a Multiple Lyapunov Function

2020 ◽  
Vol 143 (3) ◽  
Author(s):  
Abdelmounaim Khallouq ◽  
Asma Karama ◽  
Mohamed Abyad
Keyword(s):  
Lyapunov Function ◽  
Bacterial Growth ◽  
Growth Process ◽  
Fault Tolerant ◽  
Fault Tolerant Control ◽  
Fault Estimation ◽  
Time Varying ◽  
Actuator Fault ◽  
Actuator Faults ◽  
Multiple Lyapunov Function

Abstract This paper presents the problem of actuator fault estimation and fault-tolerant control (FTC) of a biological process using Takagi–Sugeno fuzzy formulation. The goal is to ensure the desired outputs tracking even if the time-varying actuator faults occur. We propose to use a proportional multi-integral (PMI) observer to estimate both the time-varying actuator faults and the state of system. The reconstructed faults are used to reconfigure the nominal controller. As a nominal control, we use a fuzzy linear quadratic integral (LQI) law. To ensure the global asymptotic convergence of the PMI observer and to improve the compensation speed of faults, we propose to use the multiple Lyapunov function by introducing a convergence rate. Sufficient conditions in terms of linear matrix inequalities (LMIs) are developed. The obtained results show that, the proposed approach is successfully applied to the problem of actuator fault-tolerant control of a bacterial growth process.

scholarly journals Active Fault-Tolerant Control of a Quadcopter against Time-Varying Actuator Faults and Saturations Using Sliding Mode Backstepping Approach

2019 ◽  
Vol 9 (19) ◽  
pp. 4010 ◽  
Author(s):  
Ngoc Phi Nguyen ◽  
Sung Kyung Hong
Keyword(s):  
Fault Diagnosis ◽  
Active Fault ◽  
Fault Tolerant ◽  
Sliding Mode ◽  
Fault Tolerant Control ◽  
Lyapunov Theory ◽  
Fault Estimation ◽  
Time Varying ◽  
Actuator Faults ◽  
Active Fault Tolerant Control

Fault-tolerant control is becoming an interesting topic because of its reliability and safety. This paper reports an active fault-tolerant control method for a quadcopter unmanned aerial vehicle (UAV) to handle actuator faults, disturbances, and input constraints. A robust fault diagnosis based on the H ∞ scheme was designed to estimate the magnitude of a time-varying fault in the presence of disturbances with unknown upper bounds. Once the fault estimation was complete, a fault-tolerant control scheme was proposed for the attitude system, using adaptive sliding mode backstepping control to accommodate the actuator faults, despite actuator saturation limitation and disturbances. The Lyapunov theory was applied to prove the robustness and stability of the closed-loop system under faulty operation. Simulation results show the effectiveness of the fault diagnosis scheme and proposed controller for handling actuator faults.

scholarly journals Cloud-Based Fault Tolerant Control for a DC Motor System

2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Xiao He ◽  
Yamei Ju ◽  
Yang Liu ◽  
Bangcheng Zhang
Keyword(s):  
Fault Diagnosis ◽  
Motor System ◽  
Control Method ◽  
Fault Tolerant ◽  
Fault Tolerant Control ◽  
Dc Motor ◽  
Fault Estimation ◽  
Packet Dropout ◽  
Actuator Faults ◽  
The Stability

The fault tolerant control problem for a DC motor system is investigated in a cloud environment. Packet dropout phenomenon introduced by the limited-capacity communication channel is considered. Actuator faults are taken into consideration and fault diagnosis and fault tolerant control methods towards actuator faults are proposed to enhance the reliability of the whole cloud-based DC motor system. The fault diagnosis unit is then established with purpose of obtaining fault information. When the actuator fault is detected by comparing the residual signal with a predefined threshold, a residual matching approach is utilized to locate the fault. The fault can be further estimated by a least-squares filter. Based on the fault estimation, a fault tolerant controller is designed to guarantee the stability as well as the control performance of the DC motor system. Simulation result on a DC motor system shows the efficiency of the fault tolerant control method proposed in this paper.

scholarly journals Adaptive Observer Based Fault Tolerant Control for Sensor and Actuator Faults in Wind Turbines

Sensors ◽  
2021 ◽  
Vol 21 (24) ◽  
pp. 8170
Author(s):  
Jing Teng ◽  
Changling Li ◽  
Yizhan Feng ◽  
Taoran Yang ◽  
Rong Zhou ◽  
...  
Keyword(s):  
Wind Turbines ◽  
Fault Tolerant ◽  
Fault Tolerant Control ◽  
Adaptive Observer ◽  
Pole Placement ◽  
Fault Estimation ◽  
Actuator Faults ◽  
Control Scheme ◽  
Adaptive Observers ◽  
Generation Capacity

The installed wind energy generation capacity has been increasing dramatically all over the world. However, most wind turbines are installed in hostile environments, where regular operation needs to be ensured by effective fault tolerant control methods. An adaptive observer-based fault tolerant control scheme is proposed in this article to address the sensor and actuator faults that usually occur on the core subsystems of wind turbines. The fast adaptive fault estimation (FAFE) algorithm is adopted in the adaptive observers to accurately and rapidly located the faults. Based on the states and faults estimated by the adaptive observers, the state feedback fault tolerant controllers are designed to stabilize the system and compensate for the faults. The gain matrices of the controllers are calculated by the pole placement method. Simulation results illustrate that the proposed fault tolerant control scheme with the FAFE algorithm stabilizes the faulty system effectively and performs better than the baseline on the benchmark model of wind turbines.

scholarly journals Actuator fault estimation and fault tolerant control in three physically-linked 2WD mobile robots

2018 ◽  
Vol 51 (24) ◽  
pp. 709-716 ◽  
Author(s):  
Daniel A. Pereira ◽  
Ayad Al-Dujaili ◽  
Maan El Badaoui El Najjar ◽  
Vincent Cocquempot ◽  
Yajie Ma
Keyword(s):  
Mobile Robots ◽  
Fault Tolerant ◽  
Fault Tolerant Control ◽  
Fault Estimation ◽  
Actuator Fault
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