Robust Fault Estimation and Fault-Tolerant Control Based on Sliding Mode Observer for Takagi–Sugeno Fuzzy Systems Subject to Actuator and Sensor Faults
Slim Dhahri1, Essia Ben Alaïa2

1Slim Dhahri*, Department of Computer Engineering and Networks, College of Computer and Information Sciences, Sakaka, Saudi Arabia.
2Essia Ben Alaïa, Department of Computer Science, College of Computer and Information Sciences, Sakaka, Saudi Arabia.
Manuscript received on May 05, 2020. | Revised Manuscript received on May 20, 2020. | Manuscript published on June 10, 2020. | PP: 145-154 | Volume-9 Issue-8, June 2020. | Retrieval Number: 100.1/ijitee.G6005059720 | DOI: 10.35940/ijitee.G6005.069820
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Abstract: In this paper, the problems of fault estimation and fault-tolerant control for Takagi-Sugeno fuzzy system affected by simultaneous actuator faults, sensor faults and external disturbances are investigated. Firstly, an adaptive fuzzy sliding-mode observer is designed to simultaneously estimate system states and both actuator and sensor faults. Then, based on the online estimation information, a static output feedback fault-tolerant controller is designed to compensate for the effect of faults and to stabilize the closed-loop system. Moreover, sufficient conditions for the existence of the proposed observer and controller with an H∞ performance are derived based on Lyapunov stability theory and expressed in terms of linear matrix inequalities. Finally, a nonlinear inverted pendulum with cart system application is given illustrate the validity of the proposed method. 
Keywords: Fault estimation, Sliding mode observer, Static output feedback fault-tolerant controller, Takagi-Sugeno fuzzy system.
Scope of the Article: Fuzzy Logics